Question

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

Answer 1

Even

Step-by-step 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