# 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(13) = 18

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Answered by

LammettHashThe question is incomplete, but if I had to guess, it's an exercise in using the intermediate value theorem. The IVT says that for a continuous function , there is some value of within any interval , i.e. , in the domain of such that when , or when . We're told that and . The IVT then guarantees the existence of some value of between -2 and 8 such that . It looks like is one of several possible answer choices. We can't say anything about the value of because we only know how behaves between -2 and 8; the number 13 falls outside of this range. So this choice is not correct.