which functions are even? check all of the boxes that apply. f (x) = x superscript 4 baseline minus x squared f (x) = x squared minus 3 x + 2 f (x) =

A function is an expression, rule, or law in mathematics that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

To find which functions are even:

We are aware that a function is even when f(x) = f(-x).

(A)

[tex]$\begin{aligned}&\text f(x)=x^{4-x^2} \\&f(-x)=(-x)^{4-x^2} \\&f(x) \neq f(-x)\end{aligned}$[/tex]

So, the function is not even.

(B)

[tex]$\begin{aligned}& f(x)=x^2-3 x+2 \\&f(-x)=x^2+3 x+2 \\&f(x) \neq f(-x)\end{aligned}$[/tex]

So, the function is not even.

(C)

[tex]$\begin{aligned}&\text f(x)=\sqrt{x-2} \\&f(-x)=\sqrt{-x-2} \\&f(x) \neq f(-x)\end{aligned}$[/tex]

So, the function is not even.

(D)

[tex]f(x)=|x|\\f(-x)=|-x|=|x|=f(x)[/tex]

So, the function is even.

Therefore, function (D) f(x) = |x| is even.

Know more about functions here:

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The complete question is given below:

Which functions are even? Check all of the boxes that apply.

a. F (x) = x Superscript 4 Baseline minus x squared

b. f (x) = x squared minus 3 x + 2

c. f (x) = StartRoot (x minus 2) EndRoot

d. f(x) = |x|