Question

Match each function below with its correct description type.

a. f(x)=-|x-3|+9
b. f(x)=sqrt(x+6)+1
c. f(x)=|x|-4
d. f(x)= 12/x-3 +4
e. f(x)=(x-7)²-6

1. Rational Function
2. Radical Function
3. Quadratic Function
4. Absolute Value Function
5. Piecewise Function
6. Step Function

Answer 1

The functions can be classified as follows: f(x) = -|x-3|+9 is an Absolute Value Function, f(x) = sqrt(x+6)+1 is a Radical Function, f(x) = |x|-4 is an Absolute Value Function, f(x) = 12/(x-3)+4 is a Rational Function, and f(x) = (x-7)²-6 is a Quadratic Function.

Step-by-step explanation:

In mathematics, functions are classified into various types based on their characteristics, properties, and mathematical expressions.

1. f(x) = -|x-3|+9 - Absolute Value Function
2. f(x) = sqrt(x+6)+1 - Radical Function
3. f(x) = |x|-4 - Absolute Value Function
4. f(x) = 12/(x-3)+4 - Rational Function
5. f(x) = (x-7)²-6 - Quadratic Function