#### bigmansouf

Dear Math helper,

I am writing to you to ask for your help with my question

I drew a rough sketch but i still dont know what to do after it

Thank you

#### Archie

For part a), notice that $$\displaystyle f(x)=f(x+2k)$$ for all integers $$\displaystyle k$$. Thus, if you can solve the equation for the interval $$\displaystyle \[0,2)$$ so that $$\displaystyle f(x_0)=2$$, then we have the general solution that $$\displaystyle f(x_0+2k)=2$$ for all integers $$\displaystyle k$$. Then $$\displaystyle x=x_0+2k$$ is your general solution.

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#### bigmansouf

Im sorry Please can you explain more as I don't understand