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Answer the
following questions dealing with graphs of trigonometric functions.
Double check using your graphing calculator.
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1. |
Determine an equation for this
graph:
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2. |
Determine an equation for this
graph:
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3. |
Determine an equation for this
graph:
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4. |
Determine an equation for this
graph:
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5. |
On the same set of axes from 0 to
 , graph:
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6. |
On an axes from 0 to
 , graph:
 .
Where on the graph does the graph reach its
maximum value(s)?
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7. |
On the same set of axes from 0 to
, graph:
How many points satisfy the equation
 ?
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8. |
On the axes from 0 to
, graph:
 .
State the amplitude, frequency and period of this
graph.
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9. |
On the same set of axes,
 , graph:
 .
Find all values for which
 .
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10. |
A small toy attached to the end of a slinky
(or spring) bobs up and down according to an equation of the
form
d = a sin(bt).
The motion of the toy starts at its highest position of 5 inches above
its rest point, bounces down to its lowest position of 5
inches below its rest point, and then bounces back to its
highest position in a total of 4 seconds. Write an equation that
represents this motion.Graph your
equation from t = 0 seconds to t = 12 seconds.
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