For the Given Function, Use the Interval -2Π, 2Π and Answer the Following Questions

Name ______Date Due* ______

STRING Functions

You will be assigned a trigonometric function (Sine, Cosine, Tangent, Cotangent, Secant, or Cosecant). Using a piece of colored string or yarn, graph the function on a piece of poster board. Graph the function on the interval: -2π < x < 2π. Be sure to label the coordinates of key points and the scales on the x- and y-axis. (For the x-axis, use multiples of π/2 for the scale.) *Note: 10 points will be deducted for each day late!

For the given function, use the interval [-2π, 2π] and answer the following questions:

1. Define the amplitude and period of the function. If the amplitude is undefined, indicate this.

2. What are the x-intercepts of the graph? If there are no x-intercepts, indicate this.

3. What are the y-intercepts of the graph? If there are no y-intercepts, indicate this.

4. On what intervals (if any) is the function increasing? Use interval notation.

5. On what intervals (if any) is the function decreasing? Use interval notation.

6. For what x values of the function is y = 1? y = -1?

7. For what values (if any) of x is the function undefined? If there are no values, indicate this.

8. For your assigned trigonometric function, write an equation that involves a change in period and a phase shift. Describe, in detail, the change in period and the phase shift. Name ______

STRING Functions Scoring Rubric

Graph:

1. Colored yarn or string used (2 points)…………………....______

2. Scales on both axes labeled (2 points)……………………______

3. Points clearly plotted and coordinates labeled (2 points)…______

4. Function graphed accurately (2 points)…………………...______

5. Graph mounted on poster board (1 point)…………………______

Questions: (2 points each)

1. Amplitude …………………………………………………______

2. x-intercepts…………………………………………………______

3. y-intercepts…………………………………………………______

4. Increasing intervals…………………………………………______

5. Decreasing intervals…………………………………………______

6. Values of x where y = 1, -1………………………………….______

7. Values of x where function is undefined…………………….______

8. Transformed equation………………………………………..______

Total Score ………______/25 points

Project Grade……______