Let f(x)= cases ax+3, & x<2 x^ 2 -a, & x 2 cases Determine the value of that makes…

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

Problem

Let

f(x)=\begin{cases} ax+3, & x<2\\ x^{2}-a, & x\ge 2 \end{cases}

Determine the value of

a

that makes

f

continuous at

x=2

. (a)

-\dfrac{1}{3}

(b)

1

(c)

\dfrac{1}{3}

(d)

4