W (x) = 5^x odd or even

w (x) is neither even nor odd.

Step-by-step explanation:

w (x) = 5^x is an exponential function defined for all real numbers.

The test for "evenness" is to choose an input value (x-value), such as 3, evaluate the function (result: 125), reflect the graph about the y-axis, and then determine whether the negative of the input value produces the same output.

It does not. Whereas w (3) = 125, w (-3) = 1/125. Since these results differ, we know definitively that this function is not even.

The test for "oddness" is somewhat similar in that we choose an input value such as 3 and then evaluate the function w (x) at both 3 and - 3. If

w (-3) = - w (3), then the function is odd. That's not the case here. We know definitively that w (x) is not odd.

It's neither even nor odd.

See below

Step-by-step explanation:

w (x) = 5^x

For x = positive integer 5^x will always have 5 as the last digit so it will always be Odd.

For x = 0, 5^x = 1 (odd).