Select the correct answer.
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.

Respuesta :

The statement that could be true for the function h is; C) h(2) = 16

How to Interpret Domain and Range of a Function?

We are given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25.

Now, domain is the set of input functions that make the function real while range is the set of all possible output functions from the input,

We are told that;

h(8) = 19 and h(-2) = 2

Now, let us analyze the options;

Option A; This is not true because we have already been told that h(8) = 19

Option B: h(-3) = -1; This is not true because from the interval given to s for the domain, the least value of the domain is 1.

Option C: h(2) = 16; This can be true because it meets the criteria of the range and domain intervals respectively.

Option D: h(13) = 18; This cannot be true because the maximum value of range from the interval is 11.

The missing options are;

A) h(8) = 21

B) h(-3) = -1

C) h(2) = 16

D) h(13) = 18

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