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A table pairs inputs $x$ with outputs $y$ : $(x, y) = (5, 1), (5, 2), (9, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 5 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (4, 1), (4, 2), (6, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 4 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (2, 1), (2, 2), (8, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 2 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 1), (3, 2), (7, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 3 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (4, 1), (4, 2), (9, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 4 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (5, 1), (5, 2), (6, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 5 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (4, 1), (4, 2), (7, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 4 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (2, 1), (2, 2), (9, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 2 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 1), (1, 2), (9, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 1 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (5, 1), (5, 2), (8, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 5 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (5, 1), (5, 2), (7, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 5 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 1), (1, 2), (8, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 1 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 1), (3, 2), (6, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 3 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 1), (3, 2), (8, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 3 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 1), (1, 2), (6, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 1 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (2, 1), (2, 2), (6, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 2 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 1), (1, 2), (7, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 1 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (2, 1), (2, 2), (7, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 2 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 1), (3, 2), (9, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 3 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (4, 1), (4, 2), (8, 3)$ . Is $y$ a function of $x$ ?
1. No: the input 4 has two different outputs
2. Yes: every input has an output
3. Yes: the outputs are all different
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 5), (5, 5), (9, 5)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 5 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 3), (5, 3), (9, 3)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 3 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (2, 6), (6, 6), (7, 6)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 6 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 3), (6, 3), (7, 3)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 3 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 7), (5, 7), (8, 7)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 7 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 8), (6, 8), (7, 8)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 8 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 4), (5, 4), (8, 4)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 4 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (2, 3), (5, 3), (7, 3)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 3 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (2, 3), (5, 3), (9, 3)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 3 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 4), (6, 4), (7, 4)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 4 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 1), (6, 1), (7, 1)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 1 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (2, 7), (4, 7), (9, 7)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 7 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 3), (4, 3), (8, 3)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 3 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 4), (5, 4), (7, 4)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 4 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 4), (4, 4), (8, 4)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 4 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 5), (6, 5), (9, 5)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 5 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 8), (6, 8), (8, 8)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 8 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 4), (4, 4), (7, 4)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 4 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (2, 7), (4, 7), (7, 7)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 7 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (2, 7), (5, 7), (7, 7)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 7 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 6), (4, 6), (9, 6)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 6 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (2, 8), (4, 8), (9, 8)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 8 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 9), (6, 9), (9, 9)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 9 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 8), (6, 8), (9, 8)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 8 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 1), (5, 1), (9, 1)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 1 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 2), (5, 2), (9, 2)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 2 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 6), (6, 6), (9, 6)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 6 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 7), (4, 7), (7, 7)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 7 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 2), (4, 2), (7, 2)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 2 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 8), (4, 8), (8, 8)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 8 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (2, 9), (5, 9), (9, 9)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 9 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (2, 1), (6, 1), (7, 1)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 1 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 3), (5, 3), (8, 3)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 3 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (2, 7), (6, 7), (9, 7)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 7 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (2, 1), (6, 1), (9, 1)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 1 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 2), (4, 2), (8, 2)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 2 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 8), (6, 8), (8, 8)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 8 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 2), (4, 2), (9, 2)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 2 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 5), (5, 5), (7, 5)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 5 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 8), (4, 8), (9, 8)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 8 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 6), (4, 6), (8, 6)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 6 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 2), (5, 2), (9, 2)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 2 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 4), (5, 4), (9, 4)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 4 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 8), (5, 8), (7, 8)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 8 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (2, 3), (6, 3), (9, 3)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 3 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 4), (6, 4), (7, 4)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 4 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 4), (4, 4), (9, 4)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 4 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 3), (4, 3), (7, 3)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 3 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (1, 2), (5, 2), (7, 2)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 2 repeats
3. No: a function needs a formula
A table pairs inputs $x$ with outputs $y$ : $(x, y) = (3, 2), (5, 2), (7, 2)$ . Is $y$ a function of $x$ ?
1. Yes: each input has exactly one output
2. No: the output 2 repeats
3. No: a function needs a formula
A function's rule: multiply the input by 6, then add 6. Which input gives the output 24?
$f(x) = 2x^2 + 3$ . Find $f(-3)$ .
$f(x) = x^2 + 3$ . Find $f(2 + 3)$ .
Here is the graph of $y = f(x)$ . Tap the point of the graph that shows $f(2)$ .
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?
Find the volume of a cylinder with radius 3 cm and height 4 cm (exact, in terms of π).Not to scale
A prism has a triangular base with base 2 cm and height 7 cm, and the prism is 7 cm long. Find its volume (cm³).Not to scale
A cylinder of radius 5 cm has volume $175\pi$ cm³. Find its height (cm).Not to scale
Find the volume of a cone with radius 6 cm and height 6 cm (exact, in terms of π).Not to scale
A pyramid has a square base of side 4 m and height 15 m. Find its volume (m³).Not to scale
A cone and a cylinder have the same radius 5 and the same height. What fraction of the cylinder's volume is the cone's?
Find the volume of a sphere of radius 5 cm (exact, in terms of π).Not to scale
A block has mass 526 g and volume 27 cm³. Find its density (g/cm³).
Find the volume of a hemisphere (half a ball) of radius 3 cm (exact, in terms of π).

Answers

No: the input 5 has two different outputs
Yes: each input has exactly one output
$3$
$21$
$28$
$(2, -1)$
$18$
$(-\infty, 5)$
$9$
$36 \pi$
$49$
$7$
$72 \pi$
$80$
$\frac{1}{3}$
$\frac{500 \pi}{3}$
$\frac{526}{27}$
$18 \pi$