Identify Amplitude, Period, Midline, Phase Shift, Domain, Range
Sketch the Graph
Word Problems/Write an Equation
More Word Problems
100
For the function shown below, identify the amplitude, period, and midline.
Amplitude: 4
Period:
2pi
Midline: y=3
100
Sketch the graph of the function and state the domain and range.
f(x)=sin(4x)
Domain:
RR
Range: [-1,1]
100
Write an equation for the function shown below.
f(x)= 4cosx-2
100
The function below models the average high temperature in degrees Fahrenheit in Pierre, SD, where t is in months and t=0 corresponds to January. Determine the period of this function.
y=60-30cos(pi/6t) models
12
200
For the function below, identify the amplitude, period, midline, and phase shift.
g(x)= -5sin(3(x-7))+4
Amplitude: 5
Period:
(2pi)/3
Midline: y=4
Phase Shift: 7 (right)
200
Sketch the graph of the function and state the Domain and Range.
f(x)= -2cosx
Domain:
RR
Range: [-2,2]
200
Jeff's height above the ground level was tracked as he rode a Ferris wheel. The graph is shown.
What is the radius of the Ferris wheel?
40 ft.
200
Write an equation to model Jeff's height as he is riding the Ferris wheel.
f(x)=-40cos(pi/4x)+35
300
Identify the period, domain, and range of the function shown.
Period:5
Domain:
RR
Range:[-60,60]
300
Sketch the graph of the function.
f(x)= -sinx - 2
300
How high above the ground is he at his highest point?
75 ft.
300
What is the average high temp for Pierre using the following function?
y=60-30cos(pi/6t)
60 degrees Fahrenheit
400
Sketch the graph of the function
f(x)=sin(pi/8 x)
400
How long does it take the Ferris wheel to make one revolution?
8 minutes
400
What is the maximum high temperature for Pierre giving the equation?
y=60-30cos(pi/6t)
90 degrees Fahrenheit
500
It takes 6 minutes to load the Ferris wheel, after which it makes two revolutions before beginning the unload process. If Jeff is the first person loaded, and the first person to get off, how long is he on the Ferris wheel total?
22 minutes
500
When does the high temperature occur according the the equation below?
y=60-30cos(pi/6t)
June