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.
