How Can You Find the Fourier Transform of the Max Function?

[phoebus]

Homework Statement

Find the Fourier transform of the following equation.
f1(x) = max(1 - |x|, 0).

Homework Equations

Can anyone say present the function in different way? Since I don't understand what max function does.

The Attempt at a Solution

 

[betel]

Max(a,b) picks the bigger of its arguments'
$$\max(a,b)=\begin{cases}a & a\geq b\\ b& b>a\end{cases}$$

 

[phoebus]

Max(a,b) picks the bigger of its arguments'
$$\max(a,b)=\begin{cases}a & a\geq b\\ b& b>a\end{cases}$$

I understand what to do next. Thanks a lot