Which is the correct answer of statement h?

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.

h(2) = 16

h(-3) = -1

h(13) = 18

h(8) = 21

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Answer 1 · 2018-06-26T17:32:07

#color(blue)(h(2)=16)#

If we look at the domain and range, we can rule out some straight away.

For

#h(-3)=-1#

This is outside of the range. i.e. #-1 !in 1<=h(x)<=25#

For:

#h(13)=18#

This is outside of the domain. i.e. #13 !in -3<=x<=11#

For

#h(8)=21#

We are told in the question that

#h(8)=19#

So we have a contradiction.

Only

#h(2)=16#