Question

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(2) = 16 B. h(8) = 21 C. h(13) = 18 D. h(-3) = -1

Answer 1

The range of h(x) is restricted to positive values, so h(-3) cannot be -1.

Explanation:

None of the statements A, B, C or D can be true for the given function h.

We know that h has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25.

Statement A: h(2) = 16

We cannot determine whether this statement is true or false based on the given information. We do not know the value of h(x) for x = 2.

Statement B: h(8) = 21

This statement is false because we are given that h(8) = 19.

Statement C: h(13) = 18

We cannot determine whether this statement is true or false based on the given information. 13 is outside the domain of h.

Statement D: h(-3) = -1

We cannot determine whether this statement is true or false based on the given information. The range of h(x) is restricted to positive values, so h(-3) cannot be -1.