Answer:
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.
