SOLUTION: Which of the following functions are even? I 3y=(x^4)+x II y= abs(x-2) *abs= absolute value III (e^x^2)-1 This is a multiple choice question, the answer choices be

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Question 889661: Which of the following functions are even?
I 3y=(x^4)+x
II y= abs(x-2) *abs= absolute value
III (e^x^2)-1
This is a multiple choice question, the answer choices being,
a. I only
b. II only
c. III only
d. II and III
e. I,II, and III
using my graphing calculator I got I and III which is not an answer but algebraically I got III only, is this correct? Thank you so much for your time and help!

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
For an even function,
I.


So I is not an even function.

.
.
.
II. I assume you mean

Although , it's not the case that,

So II is not an even function.
It is symmetric but not about the y-axis but about .

.
.
.
III.

So III is an even function.

.
.
The solution is c.

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