## Lesson: Functions and Graphing

Developing the Concept

Now that students have reviewed how to graph points, it's time to have them graph some linear relationships and interpret a graph in terms of a problem situation.

**Materials:** graph paper and pencil

**Preparation:** none

**Prerequisite Skills and Background:** Students should be able to graph points on a coordinate plane and determine if points are close to a graph.

**Wrap-Up and Assessment Hints**

If a linear equation such as *y* = 3*x* + 2 is represented by either a graph or the equation, you can assess your students' understanding by asking questions like the following.

Ifxincreases 1 unit, what happens toy?(It increases 3 units.)

Ifx= 0, what is the value ofy?(2)

Ifxincreases 4 units, what happens toy?(It increases 12 units.)

Ifydecreases 6 units, what happens tox?(It decreases 2 units.)

For what values ofxisynegative?(x<^{-})

For what values ofxisy> 8?(x> 2)