Functions Real World Graphing Scenarios

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  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

• -x+1 if x ≤ $100; x 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

What letter is at this ordered pair: (-2,1)

Remember (x,y)

(click on the image to make it bigger)

• W

• E

• Q

• R

What is another application of functions mentioned in the summary?

• Solving quadratic equations

• Writing and solving functions for real-world scenarios

• Graphing linear equations

• Finding the roots of polynomials

What is m(-3) if:    

• -3

• 0.5

• 3

• -3.5

What letter is at the ordered pair (0, 3)?

• A

• M

• R

• L

The following table shows what a local gym charges for nonmembers and members:

Find the cost for a member who uses the gym 12 times.

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 f(6)?

• 20

• 33

• 3

• 3, -3

Which inequality symbol means at most or no more than?

• <

• ≤

• >

• ≥