Try It

Linear and Piecewise Functions

You will need to create graphs in this Try It. You have several options to create these graphs, including:

  1. Draw the graph by hand.
  2. Use the Microsoft Word chart tool to graph your data.
  3. Use the basic ACCESS Geogebra Graphing sheet to graph the data.

Problem #1

Graph the following:

piecewise function to be graphed

Answer:

graph of previous piecewise function

 

Problem #2

Graph the following:

piecewise function to be graphed

Answer:

graph of previous piecewise function

 

Problem #3

Graph the following:

f(x) = 2 |x – 1| + 2

Vertex: (1,2)

Slope 1: 2

Slope 2: -2

Graph Answer:

graph of example 3 function

 

Problem #4

The table lists postage for letters weighing as much as 3 oz. You want to mail a letter that weighs 1.2 oz. Graph the step function.

Weight Up To Price
1 oz. $0.50
2 oz. $0.75
3 oz. $1.00

How much will you pay in postage?

Answer: $0.75

Graph:

step graph of the price and weight of postage

 

Problem #5

The table lists postage for letters weighing as much as 3 oz. You want to mail a letter that weighs 1.8 oz. Graph the step function.

Weight Up To Price
1 oz. $0.47
2 oz. $0.71
3 oz. $0.95

How much will you pay in postage?

Answer: $0.71

Graph:

step graph of the price and weight of postage

 

Problem #6

The table lists postage for letters weighing as much as 3 oz. You want to mail a letter that weighs .2 oz. Graph the step function.

Weight Up To Price
1 oz. $0.49
2 oz. $0.66
3 oz. $0.83

How much will you pay in postage?

Answer: $0.49

Graph:

step graph of the price and weight of postage