CK-12-Pre-Calculus Concepts

5.2. The Sinusoidal Function Family http://www.ck12.org

Practice

1. Sketchp(x) =sinxfrom memory.


2. Sketchj(x) =cosxfrom memory.


3. Where do the maximums of the cosine graph occur?


4. Where do the minimums of the cosine graph occur?


5. Find all the zeroes of the sine function on the interval[−π,^52 π].


6. Find all the zeroes of the cosine function on the interval(−π 2 ,^72 π].


7. Preview: Using your knowledge of function transformations and the cosine graph, predict what the graph of
   f(x) =2 cosxwill look like.


8. Preview: Using your knowledge of function transformations and the cosine graph, predict what the graphg(x) =
   cosx+2 of will look like.


9. Preview: Using your knowledge of function transformations and the cosine graph, predict what the graph of
   h(x) =cos(x−π)will look like.


10. Preview: Using your knowledge of function transformations and the cosine graph, predict what the graph of
    k(x) =−cosxwill look like.