Confused about how to answer this question

May 2015
136
1
United Kingdom
Dear Math helper,

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

q1.jpg

I drew a rough sketch but i still dont know what to do after it
q1 sketch.png


Thank you
 
Dec 2013
2,002
757
Colombia
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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May 2015
136
1
United Kingdom
Im sorry Please can you explain more as I don't understand