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1 vote
Which of the following is an even function?

A) f(x) = (x – 1)^2

B) f(x) = 8x

C) f(x) = x^2 – x

D) f(x) = 7

User Alejandro
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7.6k points

2 Answers

3 votes
An even function is a function that is symmetrical over the y axis. With that said, D is the answer.
User Redneb
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8.1k points
4 votes

Answer:

The correct answer is D) f(x) = 7

Explanation:

A function is even when f(-x) = f(x) for all x in the domain of f. We can say that the function is simetrical over x axis.

To get which is the correct answer , we try the same function for -x and x and we have to find the same answer. We are going to try with -5 and 5

A) f(x) = (x – 1)^2

f(5) = (5 – 1)^2 =16

f(-5) = (-5 – 1)^2 =36

Not even funtion

B) f(x) = 8x

f(-5) = 8 *-5 =-40

f(5) = 8*5 =40

Not even funtion

C) f(x) = x^2 – x

f(-5) = -5^2 – -5=30

f(5) = 5^2 – 5 =20

Not even funtion

D) f(x) = 7

f(-5) = 7

f(5) = 7

Even

User Gregw
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8.0k points

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