Use the function rule f(x) = x × |-1|^x. Find the output f(2)
please help as soon as possible!!!
If x = 2
2 * 1^2 = 2*1 = 2
thank you for the explanation!
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To find the output, f(2), we need to substitute 2 in place of x in the function rule, f(x) = x × |-1|^x.
First, let's determine the value of |-1|. The absolute value of -1 is always positive 1, so |-1| = 1.
Now, we substitute x = 2 into the function rule:
f(2) = 2 × 1^2
Next, we simplify the expression inside the parentheses, which is 1 raised to the power of 2. Any number raised to the power of 0 is always 1, so 1^2 = 1.
Therefore, f(2) = 2 × 1 = 2.
Hence, the output of the function f(2) is 2.