Question

prove if it's an even or odd function then graph

Answer 1

Even

Explanation

make:

$\begin{gathered} f(x) \\ \text{and} \\ f(-x) \end{gathered}$

If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even. If you end up with the exact opposite of what you started with (that is, if f (–x) = –f (x), so all of the signs are switched), then the function is odd, then

Step 1

$f(x)=c\text{ ( a constant)}$

and

$f(-x)=c\text{ ( a constant)}$

Hence

$\begin{gathered} f(x)=f(-x) \\ \text{then the function is EVEN} \end{gathered}$

Step 2

graph

I hope this helps you