3. Determine whether the function f(x)= is even, odd, or neither. Explain your reasoning.

Question

Answer 1

## Step 1: Evaluate

### We substitute

for

in the function

and simplify.

## Step 2: Compare

with

and

### We compare the expression for

obtained in the previous step with the original function

and its negative,

. We observe that

, which is equal to

.## Step 3: Determine the function's symmetry### Since

, the function

is an odd function. This indicates symmetry about the origin.

Question