Lesson 2 “Sine” Language Solidify Understanding
For each graph, identify the domain and range. Then write the interval(s) where
1.
a.
Domain:
b.
Range:
c.
Positive:
d.
Negative:
2.
a.
Domain:
b.
Range:
c.
Positive:
d.
Negative:
3.
a.
Domain:
b.
Range:
c.
Positive:
d.
Negative:
4.
a.
Domain:
b.
Range:
c.
Positive:
d.
Negative:
Write the piecewise equation that describes each graph.
5.
6.
Recall the following facts from the lesson done in class:
The Ferris wheel has a radius of
. The center of the Ferris wheel is
above the ground.
Due to a safety concern, the management of the amusement park decides to slow the rotation of the Ferris wheel from
7.
Calculate how high a rider will now be
8.
a.
Calculate the height of a rider at each of the following times
Elapsed time since passing position | Calculations | Height of the rider (in feet) |
---|---|---|
b.
Plot the position you calculated on the diagram. Connect the center of the circle to the point you plotted. Then draw a vertical line from the plotted point on the Ferris wheel to the line segment
9.
How did the position of the triangles you drew change between
10.
How did the triangles you drew change between
11.
How did the triangles you drew change between
12.
Describe a relationship between the angle
Perform the indicated operation. Divide out all common factors in your answers.
(Assume no denominator is equal to