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

Answer 1

Option D. h(2) = 16

Explanation:

Verify each statement

case A) h(8) = 21

The statement is false

Because

we know that

h(8)=19 -----> given value

and

If h(8) = 21 then f(x) is not a function

case B) h(13) = 18

The statement is false

Because x=13 not belong to the domain of the function

case C) h(-3) = -1

The statement is false

Because

x=-3 belong to the domain

but

h(-3)=-1 not belong to the range of the function

case D) h(2) = 16

The statement could be true

Because

x=2 ----> belong to the domain of the function

h(2)=16 ----> belong to the range of the function