Question

1. Determine algebraically whether each function is even, odd, or neither. Justify your answers. a) f(x) = x^3 + sin x b) f(x) = 2x - 4x^2 c) f(x) = 3 - 1/x^2 d) f(x) = |3x/2|

          1. Determine algebraically whether each function is even, odd, or neither. Justify your answers.
a) f(x) = x^3 + sin x
b) f(x) = 2x - 4x^2
c) f(x) = 3 - 1/x^2
d) f(x) = |3x/2|

Added by Zain A.

Precalculus Student Solutions Manual 5th

Margaret L. Lial, John Hornsby, David I.… 5th Edition

Chapter 2

Instant Answer

Solved by Expert Cristopher Lopez

07/29/2022

Step 1

- To check if it is even, we substitute \(-x\) for \(x\) in the function and simplify: \(f(-x) = (-x)^3 + \sin(-x) = -x^3 - \sin(x)\) Since \(f(-x) \neq f(x)\), the function is not even. - To check if it is odd, we substitute \(-x\) for \(x\) in the function Show more…

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