158k views
2 votes
Hich of the following is an even function? f(x) = (x – 1)2 f(x) = 8x f(x) = x2 – x f(x) = 7

User Gigaxel
by
6.9k points

1 Answer

6 votes

Answer:

f(x) = 7 is an even function.

Explanation:

Any function is even when
f(x) = f(-x) and gives a graph that is symmetric with respect to the y-axis.

We are given these options and we have to check whether which of them is an even function:


f(x)= (x-1)^2
= x^2-2x+1

and
f(-x) = (-x - 1)^2 = x^2 + 2x + 1 - This function is not even



f(x) = 8x

and
f(-x) = -8x - This function is not even



f(x)=x^2-x

and
f(-x) = (-x)^2 + x = x² + x - This function is not even



f(x) = 7

and
f(-x) = 7 - EVEN FUNCTION

We get the same value for
f(x) and
f(-x), therefore f(x) = 7 is an even function.

User Karam
by
7.1k points