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drek231 [11]
2 years ago
7

Which option is an even function?

Mathematics
1 answer:
Grace [21]2 years ago
4 0

The correct answer is option D. Which is the even function is f (x) = x⁴.

<h3>What is an even function?</h3>

The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).

let us check the given four options:-

A f(x) = √x ;  f(-x) = √-x  here f(x) ≠ f(-x)

B f(x) = x ;  f(-x) = -x    here f(x) ≠ f(-x)

C f(x)  = x³ + 1 ; f(-x) = -x³ + 1  here f(x) ≠ f(-x)

D f(x)  = x⁴  ;  f(-x) = (-x)⁴ = x⁴  here f(x) = f(-x)

We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).

Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.

To know more about even functions follow

brainly.com/question/2284364

#SPJ1

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