Determine whether the function is even, odd, or neither. $y = \sin x + \cos x$
A)even
B)odd
C)neither

Name: Determine whether the function is even, odd, or neither. $y = \sin x + \cos x$ A)even B)odd C)neither
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Question

Quizplus · Accepted Answer

A function is even if $f(x) = f(-x)$ and odd if $f(x) = -f(-x)$.

For $y = \sin x + \cos x$, we have $f(-x) = \sin (-x) + \cos (-x)$

$\quad = -\sin x + \cos x$

$\quad 
eq \sin x + \cos x$

Since $f(-x) 
eq f(x)$ for a non-zero range of $x$, the function is neither even nor odd.

Determine Whether the Function Is Even, Odd, or Neither y=sin⁡x+cos⁡xy = \sin x + \cos xy=sinx+cosx

Determine Whether the Function Is Even, Odd, or Neither $y = \sin x + \cos x$