Review question

Can we sketch this periodic, parabolic function? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R8027

Question

Given that $f(x)=x^2$ for $-a < x \leq a$, and that $f(x)$ is periodic with period $2a$,

1. sketch the graph of $f(x)$ for $-3a\leq x\leq 3a$,

2. find the general solution of the equation $f(x)=\frac{1}{4} a^2$.