Let be continuous on and suppose that

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

Problem

Let

f(x)=\begin{cases}px+1,&x<1\\x^{2}+q,&x\ge1\end{cases}

be continuous on

\mathbb R

and suppose that

f(2)=7

. Which one of the following pairs

(p,q)

satisfies these conditions? (a)

(5,5)

(b)

(4,3)

(c)

(3,3)

(d)

(2,3)