SOLUTION: could someone help me with this? Which of the following functions is an even function? 1. f(x)=4x-2 2. f(x)=/6x+8/ 3. f(x)=3-x^2 4. f(x)=x/x+1

Algebra ->  Graphs -> SOLUTION: could someone help me with this? Which of the following functions is an even function? 1. f(x)=4x-2 2. f(x)=/6x+8/ 3. f(x)=3-x^2 4. f(x)=x/x+1       Log On


   

Question 147663: could someone help me with this?
Which of the following functions is an even function?
1. f(x)=4x-2
2. f(x)=/6x+8/
3. f(x)=3-x^2
4. f(x)=x/x+1
Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
**f%28x%29=f%28-x%29 if they are even
**-f%28x%29=f%28-x%29 if they are odd
**neither property is true if they are neither
An even function is a function where the same pattern is reflected on the y-axis. That means that for negative and positive x values, the y follows the same pattern. To figure out if they are even or not, plug in 1 for x, and see what you get. Then plug in -1 for x, and see what you get. If f%28x%29=f%28-x%29 is true (if you end up with the same answer for both), then they are even. If you don't, then they are not even.