The graph of defined by is symmetric with respect to and

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

The graph of

f: R \to R

defined by

y = f(x)

is symmetric with respect to

x = a

and

x = b

. Which of the following is true? (1)

f(2a-x) = f(x)

(2)

f(2a+x) = f(-x)

(3)

f(2b+x) = f(-x)

(4)

f

is periodic