Use the function rule f(x)= x * (-1)^x. Find the output of f(2)
A. 4
B. 3
C. -2
D. 2
If your question means:
x • ( - 1 )ˣ
Then replace x with 2
2 • ( - 1 )²
Since ( - 1 )² = 1
f(2) = 2 • ( - 1 )² = 2 • 1 = 2
To find the output of f(2), we need to substitute the value of x into the given function rule f(x) = x * (-1)^x.
f(2) = 2 * (-1)^2
Now we need to evaluate (-1)^2.
Since any number raised to an even power is always positive, (-1)^2 = 1.
Therefore, f(2) = 2 * 1 = 2.
So, the correct answer is D. 2.
To find the output of the function f(x) = x * (-1)^x when x = 2, we need to substitute x = 2 into the function and calculate the result.
Substitute x = 2 into the function: f(2) = 2 * (-1)^2
Now, let's evaluate (-1)^2:
(-1)^2 = 1
Substitute the evaluated result back into the function:
f(2) = 2 * 1
Finally, calculate the result:
f(2) = 2
Therefore, the output of f(2) is 2. So the correct answer is (D) 2.