MATH SOLVE

3 months ago

Q:
# Determine whether the function f(x) = 3x4 is even or odd. The function is even 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 odd because −f(x) = f(x).

Accepted Solution

A:

Answer:The function is even because f(x) = f(−x).Step-by-step explanation:we know thatAn even function is one for which f
(−x)=f(x) for all x in its domain.
An odd function is one for which f(
−x)
=−f(x) for all x in its domainIn this problem we have[tex]f(x)=3x^{4}[/tex]so[tex]f(-x)=3(-x)^{4}=3x^{4}[/tex]thereforef
(x)=f(-x) for all x in its domain.Is a even function