Determine the value of that makes the function f(x)= cases x^ 2 -4, & x<1 ax+1, & x 1…

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

Problem

Determine the value of

a

that makes the function

f(x)= \begin{cases} x^{2}-4, & x<1\\ ax+1, & x\ge 1 \end{cases}

continuous at

x=1

. (a)

a=2

(b)

a=4

(c)

a=-4

(d)

a=-3