## Function Matching

See how well you understand function expressions by trying to match your function graph to a generated graph. Choose from several function types or select random and let the computer choose.

**Choose Type**

Choose the type of function you would like to match. **Random (Any)** will choose among all possible types. **Random**
under each class will only choose a type among that class. Once you
start a problem it will be noted with a question mark. Completed
problems will be noted with a check mark.

**Graph**

On your graph, you can move the graph by clicking on the empty space and dragging. You can also trace your graph by dragging along the curve. This will show the coordinates of the point you are on.

**Zoom In/Out** changes the zoom of your graph.

**Function Expression**

In the bottom area, enter the values to match the generated graph to your graph. Your function expression is corrected when the graphs match. You can use the arrows to increase and decrease your values or type them in directly with the keyboard.

**Check** checks to see if all your values are correct.

**Hint** reveals one value.

**Other Features**

**Reset All** resets all function values of all types. It does not give you new problems.

**Reset** resets the function values of the current type. It does not give you a new problem.

**New** gives you a new problem of the current type.

**Change Type** is only active for random types. It allows you to change the type selected for your problem.

**Polynomial Function Matching**

- Choose a second degree polynomial graph. Match a few graphs. Use the
**Help**feature if needed. Can you explain what effect each value has on the graph? - Match graphs from all three types. Which values have the same effect regardless of the degree of the polynomial? What are the effects?

**Periodic Function Matching**

- Choose a sine graph. Match a few graphs. Use the
**Help**feature if needed. Can you explain what effect each value has on the graph? Why do you think this graph is called*periodic*? - Notice that the function expressions for all the periodic graphs have the same form. Can you explain why?

**Any Function Matching**

- Match at least one function of each function type. Use the
**Help**feature if needed. Name common characteristics of all values in all function types. Name dissimilar characteristics of all function types. - Can you explain why the function types are grouped the way they are?