Question

If f(x)=∣2∣, find f(−1).
a) 0
b) 2
c) -2
d) −1/1

Answer 1

The function f(x) = |2| equals 2 for any x, including at x = -1. Therefore, f(-1) is 2, making the correct answer b) 2.

Step-by-step explanation:

The student has asked for the value of f(-1) if f(x) = |2|. The absolute value of a number is always non-negative, regardless of the input value for x. Therefore, f(x) in this case is a constant function and f(x) = 2 for any value of x, including when x is -1.

So, f(-1) = |2| = 2.

The correct answer is b) 2.