Let f(x)= cases kx+3, & x 1, ^2+2x-1, & x>1

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

f(x)=\begin{cases}kx+3, & x\leq1,\\x^2+2x-1, & x>1.\end{cases}

Determine the value of

k

so that

f

is continuous at

x=1

. (a)

4

(b)

-1

(c)

0

(d)

1

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