Question

Select the correct answer. Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h. A. h(13) = 18 B. h(8) = 21 C. h(-3) = -1 D. h(2) = 16

Answer 1

h(2)=16

Explanation:

Based on the given information:

- Domain: -3 ≤ x ≤ 11

- Range: 1 ≤ h(x) ≤ 25

- h(8) = 19

- h(-2) = 2

We can narrow down the choices:

A. h(13) = 18: This is not possible, as the domain of the function only goes up to \(x = 11\).

B. h(8) = 21: This contradicts the information given that \(h(8) = 19\).

C. h(-3) = -1: This is not possible, as the range of the function is from 1 to 25.

D. h(2) = 16: This is a possible value within the given domain and range, as it falls between 1 and 25.

So, the correct answer is D. h(2) = 16