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(13) = 18

B.

h(-3) = -1

C.

h(8) = 21

D.

h(2) = 16

Answer 1

Actually two points belong to the Domain and Range of this function, namely C, (8,21) D (2,16) and could be true for h(x)

Explanation:

1) In other words, we have two pairs (8,19) and (-2,2):

2) Plugging in each values on every condition:

`D=-3 \leqslant x \leqslant 11 \:\:\:R= 1 \leqslant h(x) \leqslant 25\\A)D=-3 \leqslant 13 \leqslant 11 \:\:\:R= 1 \leqslant 18 \leqslant 25\:\:\:\:FALSE\\B)D=-3 \leqslant -3 \leqslant 11 \:\:\:R= 1 \leqslant -1 \leqslant 25 \:FALSE\\C)D=-3 \leqslant 8 \leqslant 11 \:\:\:R= 1 \leqslant 21 \leqslant 25\:True\\D)D=-3 \leqslant 2 \leqslant 11 \:\:\:R= 1 \leqslant 16 \leqslant 25\: True`

We have two points that belong to the Domain and Range.

3) Actually two points belong to the Domain and Range of this function, namely C, (8,21) D (2,16) and could be true for h(x)