Q:

Which absolute value functions will be narrower than the parent function, f(x) = |x|? Check all that apply. f(x) = |x| f(x) = |x – 2| f(x) = |x| + 3 f(x) = 2.9|x| f(x) = 1.2|x + 8| f(x) = 0.7|x| – 3.2

Accepted Solution

A:
When you say narrower, it means that the range would be slimmer. Hence, it would be logical to choose the function in which the value of f(x) would decrease. Try substituting values for x to the functions in the choices. If the answer is less than the value of x you chose, then that is the answer. The acceptable answers would be:

f(x) = |x – 2|
f(x) = 0.7|x| – 3.2