Question

Determine algebraically ifthe function is even, odd, or neither.f(x)=3x-2

Answer 1

A function is even if

`f(-x)=f(x)`

A function is odd if

`f(x)=-f(x)`

For the given question, we will test for both even and odd conditions

Step 1: Test for an even condition

`\begin{gathered} f(-x)=3(-x)-2 \\ f(-x)=-3x-2 \\ \sin ce \\ f(-x)\\e f(x) \\ it\text{ is not an even function} \end{gathered}`

Step 2: Test for an odd function