Practice sheet

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What is the domain of $f(x) = \sqrt{x - 9}$ ? Give it as an interval.
What is the domain of $f(x) = \dfrac{ 9 }{x - 6}$ ? Give it as an interval or a union of intervals.
What is the range of $f(x) = (x - 5)^2 + 9$ ? Give it as an interval.
Find the average rate of change of $f(x) = 3x^2$ from $x = 0$ to $x = 6$ .
$f(x) = -(x - 5)^2 + 8$ . On which interval is $f$ increasing?
1. $(-\infty, 5)$
2. $(5, \infty)$
3. $(-\infty, 8)$
$f(x) = -(x - 1)^2 + 7$ . On which interval is $f$ increasing?
1. $(-\infty, 1)$
2. $(1, \infty)$
3. $(-\infty, 7)$
$f(x) = -(x - 3)^2 + 2$ . On which interval is $f$ increasing?
1. $(-\infty, 3)$
2. $(3, \infty)$
3. $(-\infty, 2)$
$f(x) = -(x - 1)^2 + 2$ . On which interval is $f$ increasing?
1. $(-\infty, 1)$
2. $(1, \infty)$
3. $(-\infty, 2)$
$f(x) = -(x - 4)^2 + 8$ . On which interval is $f$ increasing?
1. $(-\infty, 4)$
2. $(4, \infty)$
3. $(-\infty, 8)$
$f(x) = -(x - 3)^2 + 9$ . On which interval is $f$ increasing?
1. $(-\infty, 3)$
2. $(3, \infty)$
3. $(-\infty, 9)$
$f(x) = -(x - 4)^2 + 7$ . On which interval is $f$ increasing?
1. $(-\infty, 4)$
2. $(4, \infty)$
3. $(-\infty, 7)$
$f(x) = -(x - 3)^2 + 6$ . On which interval is $f$ increasing?
1. $(-\infty, 3)$
2. $(3, \infty)$
3. $(-\infty, 6)$
$f(x) = -(x - 4)^2 + 2$ . On which interval is $f$ increasing?
1. $(-\infty, 4)$
2. $(4, \infty)$
3. $(-\infty, 2)$
$f(x) = -(x - 4)^2 + 3$ . On which interval is $f$ increasing?
1. $(-\infty, 4)$
2. $(4, \infty)$
3. $(-\infty, 3)$
$f(x) = -(x - 2)^2 + 3$ . On which interval is $f$ increasing?
1. $(-\infty, 2)$
2. $(2, \infty)$
3. $(-\infty, 3)$
$f(x) = -(x - 4)^2 + 1$ . On which interval is $f$ increasing?
1. $(-\infty, 4)$
2. $(4, \infty)$
3. $(-\infty, 1)$
$f(x) = -(x - 5)^2 + 7$ . On which interval is $f$ increasing?
1. $(-\infty, 5)$
2. $(5, \infty)$
3. $(-\infty, 7)$
$f(x) = -(x - 3)^2 + 7$ . On which interval is $f$ increasing?
1. $(-\infty, 3)$
2. $(3, \infty)$
3. $(-\infty, 7)$
$f(x) = -(x - 4)^2 + 6$ . On which interval is $f$ increasing?
1. $(-\infty, 4)$
2. $(4, \infty)$
3. $(-\infty, 6)$
$f(x) = -(x - 1)^2 + 5$ . On which interval is $f$ increasing?
1. $(-\infty, 1)$
2. $(1, \infty)$
3. $(-\infty, 5)$
$f(x) = -(x - 3)^2 + 1$ . On which interval is $f$ increasing?
1. $(-\infty, 3)$
2. $(3, \infty)$
3. $(-\infty, 1)$
$f(x) = -(x - 2)^2 + 9$ . On which interval is $f$ increasing?
1. $(-\infty, 2)$
2. $(2, \infty)$
3. $(-\infty, 9)$
$f(x) = -(x - 3)^2 + 8$ . On which interval is $f$ increasing?
1. $(-\infty, 3)$
2. $(3, \infty)$
3. $(-\infty, 8)$
$f(x) = -(x - 5)^2 + 6$ . On which interval is $f$ increasing?
1. $(-\infty, 5)$
2. $(5, \infty)$
3. $(-\infty, 6)$
$f(x) = -(x - 1)^2 + 9$ . On which interval is $f$ increasing?
1. $(-\infty, 1)$
2. $(1, \infty)$
3. $(-\infty, 9)$
$f(x) = -(x - 4)^2 + 9$ . On which interval is $f$ increasing?
1. $(-\infty, 4)$
2. $(4, \infty)$
3. $(-\infty, 9)$
$f(x) = -(x - 2)^2 + 8$ . On which interval is $f$ increasing?
1. $(-\infty, 2)$
2. $(2, \infty)$
3. $(-\infty, 8)$
$f(x) = -(x - 5)^2 + 2$ . On which interval is $f$ increasing?
1. $(-\infty, 5)$
2. $(5, \infty)$
3. $(-\infty, 2)$
$f(x) = -(x - 3)^2 + 5$ . On which interval is $f$ increasing?
1. $(-\infty, 3)$
2. $(3, \infty)$
3. $(-\infty, 5)$
$f(x) = -(x - 2)^2 + 5$ . On which interval is $f$ increasing?
1. $(-\infty, 2)$
2. $(2, \infty)$
3. $(-\infty, 5)$
$f(x) = -(x - 1)^2 + 4$ . On which interval is $f$ increasing?
1. $(-\infty, 1)$
2. $(1, \infty)$
3. $(-\infty, 4)$
$f(x) = -(x - 1)^2 + 6$ . On which interval is $f$ increasing?
1. $(-\infty, 1)$
2. $(1, \infty)$
3. $(-\infty, 6)$
$f(x) = -(x - 5)^2 + 9$ . On which interval is $f$ increasing?
1. $(-\infty, 5)$
2. $(5, \infty)$
3. $(-\infty, 9)$
$f(x) = -(x - 4)^2 + 5$ . On which interval is $f$ increasing?
1. $(-\infty, 4)$
2. $(4, \infty)$
3. $(-\infty, 5)$
$f(x) = -(x - 2)^2 + 1$ . On which interval is $f$ increasing?
1. $(-\infty, 2)$
2. $(2, \infty)$
3. $(-\infty, 1)$
$f(x) = -(x - 2)^2 + 7$ . On which interval is $f$ increasing?
1. $(-\infty, 2)$
2. $(2, \infty)$
3. $(-\infty, 7)$
$f(x) = -(x - 2)^2 + 6$ . On which interval is $f$ increasing?
1. $(-\infty, 2)$
2. $(2, \infty)$
3. $(-\infty, 6)$
$f(x) = -(x - 1)^2 + 8$ . On which interval is $f$ increasing?
1. $(-\infty, 1)$
2. $(1, \infty)$
3. $(-\infty, 8)$
$f(x) = -(x - 5)^2 + 4$ . On which interval is $f$ increasing?
1. $(-\infty, 5)$
2. $(5, \infty)$
3. $(-\infty, 4)$
$f(x) = -(x - 5)^2 + 1$ . On which interval is $f$ increasing?
1. $(-\infty, 5)$
2. $(5, \infty)$
3. $(-\infty, 1)$
$f(x) = -(x - 3)^2 + 4$ . On which interval is $f$ increasing?
1. $(-\infty, 3)$
2. $(3, \infty)$
3. $(-\infty, 4)$
$f(x) = -(x - 2)^2 + 4$ . On which interval is $f$ increasing?
1. $(-\infty, 2)$
2. $(2, \infty)$
3. $(-\infty, 4)$
$f(x) = -(x - 5)^2 + 3$ . On which interval is $f$ increasing?
1. $(-\infty, 5)$
2. $(5, \infty)$
3. $(-\infty, 3)$
$f(x) = -(x - 1)^2 + 3$ . On which interval is $f$ increasing?
1. $(-\infty, 1)$
2. $(1, \infty)$
3. $(-\infty, 3)$
A tank holds 16 liters at time 0 and $61$ liters after 5 minutes. What is the average rate of change of the volume, in liters per minute?
A table gives $x = 0, 1, 2, 3$ and $y = 4, 12, 36, 108$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 3 at each step
2. Linear: $y$ goes up by 8 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 8, 24, 72, 216$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 3 at each step
2. Linear: $y$ goes up by 16 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 7, 14, 28, 56$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 2 at each step
2. Linear: $y$ goes up by 7 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 5, 15, 45, 135$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 3 at each step
2. Linear: $y$ goes up by 10 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 5, 10, 20, 40$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 2 at each step
2. Linear: $y$ goes up by 5 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 4, 20, 100, 500$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 5 at each step
2. Linear: $y$ goes up by 16 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 2, 4, 8, 16$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 2 at each step
2. Linear: $y$ goes up by 2 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 7, 28, 112, 448$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 4 at each step
2. Linear: $y$ goes up by 21 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 2, 10, 50, 250$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 5 at each step
2. Linear: $y$ goes up by 8 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 6, 30, 150, 750$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 5 at each step
2. Linear: $y$ goes up by 24 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 4, 8, 16, 32$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 2 at each step
2. Linear: $y$ goes up by 4 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 3, 15, 75, 375$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 5 at each step
2. Linear: $y$ goes up by 12 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 8, 16, 32, 64$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 2 at each step
2. Linear: $y$ goes up by 8 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 9, 18, 36, 72$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 2 at each step
2. Linear: $y$ goes up by 9 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 5, 20, 80, 320$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 4 at each step
2. Linear: $y$ goes up by 15 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 7, 35, 175, 875$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 5 at each step
2. Linear: $y$ goes up by 28 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 3, 9, 27, 81$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 3 at each step
2. Linear: $y$ goes up by 6 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 3, 6, 12, 24$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 2 at each step
2. Linear: $y$ goes up by 3 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 7, 21, 63, 189$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 3 at each step
2. Linear: $y$ goes up by 14 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 6, 12, 24, 48$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 2 at each step
2. Linear: $y$ goes up by 6 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 6, 24, 96, 384$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 4 at each step
2. Linear: $y$ goes up by 18 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 9, 45, 225, 1125$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 5 at each step
2. Linear: $y$ goes up by 36 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 4, 16, 64, 256$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 4 at each step
2. Linear: $y$ goes up by 12 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 5, 25, 125, 625$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 5 at each step
2. Linear: $y$ goes up by 20 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 2, 8, 32, 128$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 4 at each step
2. Linear: $y$ goes up by 6 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 2, 6, 18, 54$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 3 at each step
2. Linear: $y$ goes up by 4 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 9, 36, 144, 576$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 4 at each step
2. Linear: $y$ goes up by 27 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 6, 18, 54, 162$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 3 at each step
2. Linear: $y$ goes up by 12 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 8, 32, 128, 512$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 4 at each step
2. Linear: $y$ goes up by 24 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 8, 40, 200, 1000$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 5 at each step
2. Linear: $y$ goes up by 32 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 9, 27, 81, 243$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 3 at each step
2. Linear: $y$ goes up by 18 at each step
3. Neither
A table gives $x = 0, 1, 2, 3$ and $y = 3, 12, 48, 192$ . What kind of relationship is it?
1. Exponential: $y$ is multiplied by 4 at each step
2. Linear: $y$ goes up by 9 at each step
3. Neither
An exponential function has $g(0) = 9$ and $g(1) = 18$ . Find $g(3)$ .
$f(x) = 57x + 380$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 73x + 397$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 27x + 452$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 41x + 461$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 90x + 394$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 71x + 341$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 70x + 452$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 48x + 332$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 37x + 394$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 82x + 296$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 47x + 267$ and $g(x) = 1.09^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 88x + 401$ and $g(x) = 1.06^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 79x + 459$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 72x + 433$ and $g(x) = 1.09^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 72x + 359$ and $g(x) = 1.06^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 43x + 245$ and $g(x) = 1.08^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 20x + 184$ and $g(x) = 1.03^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 65x + 412$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 33x + 442$ and $g(x) = 1.08^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 89x + 476$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 84x + 492$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 59x + 168$ and $g(x) = 1.08^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 24x + 141$ and $g(x) = 1.08^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 49x + 191$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 49x + 372$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 72x + 393$ and $g(x) = 1.06^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 69x + 378$ and $g(x) = 1.09^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 69x + 272$ and $g(x) = 1.03^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 37x + 373$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 68x + 122$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 85x + 375$ and $g(x) = 1.03^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 86x + 451$ and $g(x) = 1.03^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 47x + 464$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 41x + 149$ and $g(x) = 1.08^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 22x + 463$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 36x + 450$ and $g(x) = 1.08^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 66x + 237$ and $g(x) = 1.08^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 33x + 387$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 43x + 145$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 75x + 433$ and $g(x) = 1.09^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 35x + 196$ and $g(x) = 1.09^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 81x + 370$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 63x + 195$ and $g(x) = 1.07^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 74x + 280$ and $g(x) = 1.07^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 37x + 189$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 52x + 272$ and $g(x) = 1.02^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 22x + 228$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 77x + 450$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 86x + 253$ and $g(x) = 1.05^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
$f(x) = 70x + 179$ and $g(x) = 1.04^x$ . For very large $x$ , which is greater?
1. $g$ : exponential growth eventually overtakes linear growth
2. $f$ : it is greater now and grows faster
3. They stay about equal
An exponential function $f$ has $f(0) = 9$ , and each time $x$ increases by 1, the value of $f$ is multiplied by 5. Write $f(x)$ .
A population is 7 thousand at $t = 0$ and is multiplied by 3 every 4 years. Write the population $P(t)$ , in thousands, after $t$ years.
Plot the points of the graph of $f(x) = 4 \cdot 2^x$ at $x = 0$ and $x = 1$ .

Answers

$[9, \infty)$
$(-\infty, 6) \cup (6, \infty)$
$[9, \infty)$
$18$
$(-\infty, 5)$
$9$
Exponential: $y$ is multiplied by 3 at each step
$72$
$g$ : exponential growth eventually overtakes linear growth
$9 \cdot 5^{x}$
$7 \cdot 3^{\frac{t}{4}}$
$(0, 4),\ (1, 8)$