Question

Which statement is true about the function f(x) = 5x^4?

Answer 1

Answer:

D.) The function is even because f(–x) = f(x).

Step-by-step explanation:

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.