Chapter 5: Graphs & Functions 5.3 Function Rules, Tables, & Graphs

Graphing Functions Remember that inputs are values of independent variables Independent variable goes on the horizontal axis Dependent variable goes on the vertical axis Use (input,output) values as ordered pairs Join the points with a line or smooth curve

Example 1 Model the function rule y = -1/2 x + 1 using a table of values and a graph.

Example 1a Model the function rule y = 3x + 4 with a table of values and a graph.

Example 2 Suppose your group recorded a CD. Now you want to copy and sell it. One company charges $250 for making a master CD and designing the art for the cover. There is also a cost of $3 to burn each CD. The total cost P(c) depends on the number of CDs burned. Write a function rule, then model with a table of values and a graph.

Example 2a Another company charges $300 for making a master and designing the art. It charges $2.50 for burning each CD. Write the function rule, and make a table and graph.

Example 2b Your group decides to go with the second company. You plan on making between 100 and 300 CDs. What is a reasonable range for this situation?

Continuous vs Discrete Continuous Data Data where numbers between any two data values have meaning Uses a solid line, no breaks in the graph Discrete Data Data that involve a count of items Uses points with no connection (think integers)

Example 3 An automatic photo booth charges $3 for a sheet of photos. The function C(p) = 3p describes the cost of p sheets of photos. Is the data continuous or discrete?

Example 3a The function M(w) = 1/6 w describes your weight on the moon as a function of your weight on Earth w, in pounds. Is the data continuous or discrete?

Example 4 Graph the function y = |x| + 1

Example 4a Graph the function f(x) = x2 + 1

Example 4b Graph the function y = |x| - 1

Example 4c Graph the function y = x2 – 1

Homework P. 266 1-10, 12-22 even, 28-34 even