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

B. h (2) = 16

Step-by-step 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.