Consider h(x)= cases x^ 2 +1, & x<3 [4pt] 2x-2, & x 3 cases On

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Consider

h(x)= \begin{cases} x^{2}+1, & x<3\\[4pt] 2x-2, & x\ge 3 \end{cases}

[1,5]

, can the Intermediate Value Theorem be applied to guarantee a value

c

such that

h(c)=8

? Answer "yes" or "no" and give a brief reason.