Question

Which of the following is an even function?

g(x) = (x – 1)2 + 1
g(x) = 2x2 + 1
g(x) = 4x + 2
g(x) = 2x

Answer 1

@Lokid

Answer 2

@Kash_TheSmartGuy

Answer 3

sorry i don't rember :/

Answer 4

f(-a)=f(a)
then f(x) is an even function

Answer 5

listen to that person ^

Answer 6

@fakeee I'm confused

Answer 7

I am saying that f(x) is an even function, if it satisfies f(a)=f(-a) for any value of a.

for example, you have to have f(1)=f(-1)

Answer 8

in your options, there is only one such function that satisfies f(-a)=f(a)

which on do you think it is and why?

Answer 9

So it's A. g(x) = (x – 1)2 + 1 ?

Answer 10

plug in a and -a into each option and set them equivalent to each other: (like this )


\((a-1)^2+1=(-a-1)^2+1\)

\(2(a)^2+1=2(-a)^2+1\)

\(4(a)+2=4(-a)+2\)

\(2(a)=2(-a)\)

Answer 11

can you tell me now which is that function that satisfies f(a)=f(-a) ?

Answer 12

So I plug in a for x ?

Answer 13

Nvm I figured it out thanks you