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(8) = 21

B.

h(2) = 16

C.

h(13) = 18

D.
h(-3) = -1

Answer 1

B. h(2) = 16

Explanation:

In the domain, it states that x has to be greater than or equal to -3 and less than or equal to 11. The lowest number x can be is -3, the highest number is 11.

In the range, it states that h(x), or "y", has to be greater than of equal to 1, and less than or equal to 25. "y" can be, at the lowest 1, and the highest 25.

State the x and y values in each statement. Determine if it's possible based on other given information.

A. h(8) = 21

x = 8

y = 21

This is not possible. h(8) = 19. In a function, each value of "x" can only have one value of "y". If this were true, "x" would be equal to 19 and 21 and "h" would not be a function.

B. h(2) = 16

x = 2

y = 16

This is possible. "x" is between -3 and 11. "y" is between 1 and 25.

C. h(13) = 18

x = 13

y = 18

This is not true. Although "y" is between 1 and 25, "x" is greater than 11.

D. h(-3) = -1

x = -3

y = -1

This is not possible. Although "x" is between -3 and 11, "y" is less than 1.