Use the function rule ƒ(x) = x • |–1|x. Find the output ƒ(2).
A. 4
B. 3
C. –2
D. 2
D. 2
To find the output ƒ(2) of the function ƒ(x) = x • |–1|x, we substitute x = 2 into the function:
ƒ(2) = 2 • |–1|2.
Now, we simplify the expression within the absolute value: |–1| equals 1.
ƒ(2) = 2 • 1 • 2.
Finally, we multiply the numbers: 2 • 1 • 2 = 4.
Therefore, the output ƒ(2) of the function is 4.
The correct answer is A. 4.