Question

How do you solve f(x)=x * |-1|^x?

Answer 1

How do you solve Use the function rule f(x)=x * |-1|^x find the output f(2)

Answer 2

f(x) = x * |-1|^x can be simplified as follows:

- If x is even, then |-1|^x = 1, so f(x) = x * 1 = x.
- If x is odd, then |-1|^x = -1, so f(x) = x * (-1) = -x.

Therefore, we can write the solution as:

f(x) = {
x, if x is even,
-x, if x is odd.
}

Answer 3

Using the function rule f(x) = x * |-1|^x, we can find the output f(2) by plugging in 2 for x:

f(2) = 2 * |-1|^2

Since the absolute value of -1 is 1, we can simplify this expression further:

f(2) = 2 * 1^2

And since any number raised to the power of 2 is equal to itself squared:

f(2) = 2 * 1

Thus, the output of f(2) is 2.