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Laabri

Chapter 10 Test

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Last updated 27 days ago
8 Nsɛmmisa
10
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

What are the maximum, minimum, midline and amplitude of the following graph:

Maximum:

Minimum:

Midline at y=

Amplitude:

10
10
10
10
Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Determine the Midline, Amplitude, Maximum, Minimum, Period, and Frequency of the following function

f(x)=0.25\sin(\frac{4x}{7})+3

Midline:

Amplitude:

Maximum:

Minimum:

Period:

Frequency:

Leave Period and Frequency as FRACTIONS!

Asemmisa {{asɛmmisaAhyɛnsode}}
3.
Mmuae Afoforo a Wobɛpaw:
6
4.5
4
6.5
-3
12/2
9.25
9.33
8.75
-4
10/3
11/2
5
Asemmisa {{asɛmmisaAhyɛnsode}}
4.

An object attached to a spring oscillates around a stable (equilibrium) position according to the position formula given by s(t) = 8\sin(3t) where t is in seconds and s(t) is in feet. What are the period, frequency and maximum from the stable (equilibrium) position? Once finished, graph the formula in the show your work section. You must graph by hand, no screen shots!

Period:

Frequency:

Maximum:

Did you graph the function? If so, type "done" here:

Leave Period and Frequency as FRACTIONS!

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

When you board a Ferris wheel your feet are 1 foot off the ground. At the highest point of the ride, your feet are 99 feet above the ground. It takes 30 seconds for the ride to complete one full revolution. Write a trigonometric equation for your height above the ground at x seconds after the ride starts.

You are going to create your own sinusoidal function and answer questions about it for the next few questions.

15
Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Create a sinusoidal function.

Requirements:

Must have an amplitude greater than 3.99 or less than -0.01

Must have a vertical shift in the range of -7.76\leq C\leq 7.75

Must have a period between 12 and \pi

20
Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Using the equation that you made in the previous problem, fill out the different aspects of it:

Midline:

Amplitude:

Minimum:

Maximum:

Period:

Frequency:

15
Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Graph your equation. You must do it by hand. If you paste a screenshot, you will not get credit. You need to label the minimum, maximum, midline and period

Create an equation in the form of f(x)=A\sin(Bx)+C with the given characteristics:

Period: \frac{4\pi}{11}

Amplitude: 9.33

Midline: 6

Equation: f(x)= \sin( x)+