Summary of Linear and Nonlinear Relationships

At this point you should be able to do the following:

• Describe how changing the y-intercept of a line affects the graph of a line.
• Describe how changing the slope of a line affects the graph of a line.
• Describe what has happened to an equation after a line on a graph has shifted.
• Identify the intersection of two lines on a graph.
• Describe what happens to the x and y coordinate values of intersecting lines after a shift in a line on the graph.
• Identify the Point of Tangency on a curve.
• Determine whether a line is a tangent line.
• Calculate the slope at a point on a curve.
• Determine whether the slope at a point on a curve is positive, negative, zero, or infinity.
• Identify maximum and minimum points in a curve.
• Determine whether a curve does or does not have maximum and minimum points.

If you still have questions concerning any of these topics, go back and review them now.

If not, then complete the review test that follows. Try to do the test without referring back to the material. After you have finished the review test and checked your answers, you are strongly encouraged to reread the units related to the test questions you missed.

[review test]	[table of contents]