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

Answer 1

Given

function, h(x)

Domain of the function = -3 ≤ x ≤ 11

Range of the function =  1 ≤ h(x) ≤ 25

h(8) = 19 and h(-2) = 2

Find

select the statement that could be true for h(x)

Explanation

as we see at the domain and range , we can get the answer straight away.

for h(-3) = -1

as -1 is outside of the range .

so , it is not true.

for h(13) = 18 , it is also not true.

for h(8) = 21 , it is also not true as we have given in the question that h(8) = 19

for h(2) = 16 ,

as we see this is in the range of the function ,

so it is the only one in the given options which is true.

Final Answer

Hence , the correct option is C