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Haylie Schultz
Mathematics
4 October, 03:22
W (x) = 5^x odd or even
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Tatiana Dalton
4 October, 03:24
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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).
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Slade Wheeler
4 October, 03:38
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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.
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