Let h(x)= cases kx+1,& x 2

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

h(x)=\begin{cases} kx+1,& x\le 2,\\ x^{2}-3,& x>2. \end{cases}

Determine the value of

k

that makes

h

continuous at

x=2

so that the Intermediate Value Theorem applies on the interval

[0,3]