The function is defined by f(x)= cases px+q,& x<1 2p+qx,& 1 x<3 ^ 2 -4,& x 3

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

Problem

The function

f

is defined by

f(x)=\begin{cases}px+q,& x<1\\2p+qx,& 1\le x<3\\x^{2}-4,& x\ge 3.\end{cases}

Find the values of

p

and

q

so that

f

is continuous at both

x=1

and

x=3