Sketch the graph of a function that satisfies all the following conditions: • • • •…

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

Problem

Sketch the graph of a function

h

that satisfies all the following conditions: •

\displaystyle \lim_{x\to 2^-} h(x)=1

•

\displaystyle \lim_{x\to 2^+} h(x)=4

•

h(2)=4

•

h

is continuous for all real

x

except at

x=2

. A rough, clearly labeled sketch is sufficient.