Determine if the function is odd, even, or neither.
-$f ( x ) = 3 x ^ { 4 } + 3 \left| x ^ { 3 } \right| - 3$
A) even
B) neither
C) odd

Name: Determine if the function is odd, even, or neither. -$f ( x ) = 3 x ^ { 4 } + 3 \left| x ^ { 3 } \right| - 3$ A) even B) neither C) odd
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Question

Quizplus · Accepted Answer

A function is even if $ f(-x) = f(x) $. For $ f(x) = 3x^4 + 3|x^3| - 3 $, substituting $-x$ gives $ f(-x) = 3(-x)^4 + 3|-x|^3 - 3 = 3x^4 + 3|x^3| - 3 = f(x) $, so the function is even.

Determine If the Function Is Odd, Even, or Neither f(x)=3x4+3∣x3∣−3f ( x ) = 3 x ^ { 4 } + 3 \left| x ^ { 3 } \right| - 3f(x)=3x4+3​x3​−3

Determine If the Function Is Odd, Even, or Neither $f ( x ) = 3 x ^ { 4 } + 3 \left| x ^ { 3 } \right| - 3$