Let f(x)= cases x^ 2 +3, & x<2

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

Problem

Let

f(x)=\begin{cases} x^{2}+3, & x<2,\\ kx+7, & x\ge 2. \end{cases}

Determine the value of

k

that makes

f

continuous at

x=2

.

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