A function is continuous on with , ,

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

Problem

A function

p

is continuous on

[0,4]

with

p(0)=-1

p(1)=3

p(2)=-2

, and

p(4)=5

. Identify all real numbers

y

for which the equation

p(x)=y

is guaranteed to have at least two distinct solutions in

[0,4]