Question

W(x)=5^x odd or even

Answer 1

Answer:

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).

Answer 2

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.