Determine whether each of the following functions is even, odd, or neither even nor odd.(a) f(x) = x7 + x (b) g(x) = 1 − x2 (c) h(x) = 2x − x4
Question
Solution 1
Sure, let's determine whether each function is even, odd, or neither.
(a) f(x) = x^7 + x
A function is even if f(x) = f(-x) and odd if f(-x) = -f(x). Let's check:
f(-x) = (-x)^7 + (-x) = -x^7 - x which is not equal to f(x) = x^7 + x, so it's not even.
Also, -f(x) = -(x^7 + x) = -x^7 - x which is Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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