Question

Identify the function family of the following function:
f(x) = 4|x| - 3

Answer 1

The function f(x) = 4|x| - 3 belongs to the absolute value function family.

Step-by-step explanation:

The function f(x) = 4|x| - 3 belongs to the absolute value function family. Absolute value functions have the form f(x) = |ax + b| + c, where a, b, and c are constants. In this case, a = 4, b = 0, and c = -3. The vertical lines around x indicate that the function takes the absolute value of the expression inside, resulting in a V-shaped graph.