Lesson 1.7 Represent Functions as Graphs Essential Question: How do you represent functions as graphs?

Before we start… Look at the two graphs below, what do you notice? Share with your partner.

Functions as Graphs Graphs can be used as a representation of a function. Given a table for a function, each corresponding pair of input and output values forms an ordered pair of numbers that can be plotted as a point.

Input and Output The input is the x-coordinate. The horizontal axis of the graph is labeled with the input variable. The output is the y-coordinate. The vertical axis of the graph is labeled with the output variable.

Turn to page 46 and complete #3 with your partner.

Write a Function Rule Using a Graph Given a graph of a function, you can write a rule for it. Use the graph to make a table to show the input and output values. Identify a relationship between the input and output to write the rule.

Write a rule for the function represented by the graph.

Write a rule for the function represented by the graph.

Write a rule for the function represented by the graph.

Turn to page 46 and complete #10 and #11 with your partner.

Ways to Represent a Function You can use a verbal rule, an equation, a table or a graph to represent a function.

How do you represent functions as graphs?

Ticket Out the Door Write a rule for the function represented by the graph.