The graph of a function consists of two pieces that approach

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

Problem

The graph of a function

g

consists of two pieces that approach

x=3

. • For

x<3

, the branch is part of the parabola

y=(x-1)^2

and ends at the open point

(3,4)

. • For

x>3

, the branch is part of the line

y=-x+7

. What is

\displaystyle \lim_{x\to 3^+} g(x)

? (a)

-4

(b)

4

(c)

2

(d) The limit does not exist