Does the given table represent q as a function of p? | $p$ | 3 | -3 | 2 | -2 | -2 | 0 | |-----|---|----|----|----|----|---| | $q$ | 2 | -1 | 4 | -4 | 3 | 0 |

Yes, because each input has exactly one output.

No, because an input value is associated with more than one output value.

Yes, because all the output values are different.

No, because there are negative numbers in the table.

Representations of Functions Practice — Grade 8 math

1. For the function $G(x) = \sqrt[3]{x - 8}$, find the value of $G(20)$.
- A. $\sqrt[3]{12}$
- B. 12
- C. 2
- D. $\sqrt[3]{28}$
2. Solve the inequality $\sqrt[3]{x} > 1.7$.
- A. $x > 4.913$
- B. $x < 4.913$
- C. $x > 2.89$
- D. $x < 2.89$
3. The vertex of the parabola defined by the function $p(x) = 9 - x^2$ is at the point (0, ___).
4. Does the given table represent q as a function of p? | $p$ | 3 | -3 | 2 | -2 | -2 | 0 | |-----|---|----|----|----|----|---| | $q$ | 2 | -1 | 4 | -4 | 3 | 0 |
- A. Yes, because each input has exactly one output.
- B. No, because an input value is associated with more than one output value.
- C. Yes, because all the output values are different.
- D. No, because there are negative numbers in the table.
5. For the function $m(p) = \frac{120}{p + 15}$, find the value of $m(5)$. $m(5) = \_\_\_$
6. For the function $P(x) = x^2 - 6x + 5$, compute $P(0)$. $P(0) = \_\_\_$
7. For the function $h(v) = 6 - |4 - 2v|$, find the value of $h(8)$. $h(8) = \_\_\_$
8. Find all values of $x$ for which $P(x) = x^2 - 6x + 5$ equals 0.
- A. $x=1, x=5$
- B. $x=-1, x=-5$
- C. $x=2, x=3$
- D. $x=-2, x=-3$
9. The number of hours required for a boat to travel upstream is given by the function $H(v) = \frac{24}{v - 8}$, where $v$ is the boat's top speed in miles per hour. Calculate $H(16)$. $H(16) = \_\_\_$