<p>Name ______Date Due* ______</p><p>STRING Functions</p><p>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!</p><p>For the given function, use the interval [-2π, 2π] and answer the following questions:</p><p>1. Define the amplitude and period of the function. If the amplitude is undefined, indicate this.</p><p>2. What are the x-intercepts of the graph? If there are no x-intercepts, indicate this.</p><p>3. What are the y-intercepts of the graph? If there are no y-intercepts, indicate this.</p><p>4. On what intervals (if any) is the function increasing? Use interval notation.</p><p>5. On what intervals (if any) is the function decreasing? Use interval notation.</p><p>6. For what x values of the function is y = 1? y = -1?</p><p>7. For what values (if any) of x is the function undefined? If there are no values, indicate this.</p><p>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 ______</p><p>STRING Functions Scoring Rubric</p><p>Graph:</p><p>1. Colored yarn or string used (2 points)…………………....______</p><p>2. Scales on both axes labeled (2 points)……………………______</p><p>3. Points clearly plotted and coordinates labeled (2 points)…______</p><p>4. Function graphed accurately (2 points)…………………...______</p><p>5. Graph mounted on poster board (1 point)…………………______</p><p>Questions: (2 points each)</p><p>1. Amplitude …………………………………………………______</p><p>2. x-intercepts…………………………………………………______</p><p>3. y-intercepts…………………………………………………______</p><p>4. Increasing intervals…………………………………………______</p><p>5. Decreasing intervals…………………………………………______</p><p>6. Values of x where y = 1, -1………………………………….______</p><p>7. Values of x where function is undefined…………………….______</p><p>8. Transformed equation………………………………………..______</p><p>Total Score ………______/25 points</p><p>Project Grade……______</p>