## Function Matching

Grade:

9-12

Standards:

Math Content:

Algebra

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 (graph will be green).
- 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 at a time.

**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?