use the function rule f(x)=x*-1^x find the output f(2) can someone explain to me how to do this IM SO CONFUZLED
x is just a place holder. Replace it with whatever value you like. Hard to parse your math, but if it's
f(x) = x * (-1)^x
then
f(3) = 3(-1)^3 = 3(-1) = -3
f(0) = 3(-1)^0 = 3(1) = 3
f(-1) = 3(-1)^-1 = 3/(-1)^1 = 3/-1 = -3
For any integer value of x, f(x) will be 3 or -3
To find the output of the function f(x) = x * (-1)^x at x = 2, you need to substitute the value x = 2 into the function and evaluate it.
Let's break it down step by step:
Step 1: Start with the given function, f(x) = x * (-1)^x.
Step 2: Substitute x = 2 into the function in place of x. It becomes f(2) = 2 * (-1)^2.
Step 3: Simplify inside the parentheses. (-1)^2 is equal to 1. So, f(2) = 2 * 1.
Step 4: Multiply the numbers: f(2) = 2.
Therefore, when you plug in x = 2 into the function f(x) = x * (-1)^x, the output will be f(2) = 2.
It's important to note that (-1)^x alternates between 1 and -1 based on whether x is even or odd. In this case, since 2 is even, (-1)^2 equals 1.