 # AP Calc Summer Assign Websites

1. DEFINITION OF A FUNCTION:

(Click of "Discussion", using Flash and each of the 4 representations of functions. Also do the domain questions (#1-5) in the drill and check your answers)

2. TYPES OF FUNCTIONS:

Complete the sections on:

Linear functions:  click on " slope-intercept" and "point -slope" forms, click on "you control" and change the values and watch how the graphs change.

Polynomial functions - click on Definition, roots, synthetic division. For the graphs, change constants a-f for polynomials of degrees 0 to 5 and watch how the graph changes.

Problem to solve: find the values for a degree 4 polynomial so the graph looks like the letter "W"

Rational functions - click on definition and a simple rational function: 1/x and its transformations (Let a = 1 and b=1 and move sliders for  h,and k and watch how graph changes.)

3. MATH GALLERY - TEST ON FUNCTIONS

(Drag the equation to the correct graph. Try at least 3 sets of problems)

4. LESSON ON LOGS:

(Read the notes and the examples and try the practice problems)

5. TRANSFORMATIONS OF FUNCTIONS:

(Read through each of the four pages of this site until you can do the transformations on your own.)

6. TRIGONOMETRY:

Click on the applet: Graphs of sin, cos and tan. Review the shapes of the graphs and the amplitude and period.. Then click on the applet: Recognize Functions 3 and match equations to graphs. Try at least 2 sets of graphs. Next click on the applet: Recognize Graphs 3 and drag the equations to each graph. Try at least 2 sets of graphs

(Read and answer the questions. Click on the green bars to see the answer)