Which statement is true about the function f(x) = 5x^4?
The function is odd because f(–x) = –f(x).
The function is odd because f(–x) = f(x).
The function is even because f(–x) = –f(x).
The function is even because f(–x) = f(x).

A function is even when a function always results in a positive output. A function is odd when a function is able to result in a negative output (after using a negative input).

Whenever there is an even exponent, the function will be even. Another way this can be checked by plugging a negative value into the equation and identifying whether it results in a negative number.

f(-1) = 5(-1)⁴

f(-1) = 5

As you can see, when a negative x-value is used, a positive output is generated.

Which statement is true about the function f(x) = 5x^4? The function is odd because f(–x) = –f(x). The function is odd because f(–x) = f(x). The function is even because f(–x) = –f(x). The function is even because f(–x) = f(x).

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Which statement is true about the function f(x) = 5x^4?
The function is odd because f(–x) = –f(x).
The function is odd because f(–x) = f(x).
The function is even because f(–x) = –f(x).
The function is even because f(–x) = f(x).