Piecewise Functions Notes

Match the following piecewise functions with their correct conditions for calculating rewards points:

• x if x < $100; -x+1 if x ≥ $100

• f(x) = { -x+1  if x < $100;  x  if x ≥ $100

• -x+1 if x ≤ $100; x if x > $100

• f(x) = { x  if x ≤ $100;  -x+1  if x > $100

• -x+1 if x < $100; x if x ≥ $100

• f(x) = { x  if x < $100;   -x+1  if x ≥ $100

• x if x ≤ $100; -x+1 if x > $100

• f(x) = { -x+1  if x ≤ $100;  x if x > $100

A dog groomer charges according to the following function f(x), which represents the total price and x represents the weight of the dog. If your dog weighs 40 pounds, how much will you pay?

• $20

• $30

• $45

• $0

Functions that are made up of distinct "pieces" of other functions defined over different intervals are called

• Absolute Value Functions

• Piecewise Functions

• Exponential Functions

• Quadratic Functions

What is m(-3) if:    

• -3

• 0.5

• 3

• -3.5

How much does he earn for a 70 hour week?

• $1020

• $1140

• $840

• He works for free!

What is a piecewise function

• It only one function

• It multiple functions with outputs

• It multiple functions without the outputs

• It only two functions with outputs.

• 47

• 41

• -7

• -253

Piecewise functions are sets of various functions with intervals.

• True

• False

• Both