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Laabri

11/14/2022-HW Review for Unit 4 Test

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Last updated about 3 years ago
36 Nsɛmmisa
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1.

Simplify:

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2.

Find the quotient:

Give your answer in simplest form.

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3.

Find the sum:

Give your answer in simplest form.

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4.

Find the product:

Give your answer in simplest form.

Here's an example to consider when completing number 5 below:

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5.

Find the difference:

(be sure to put your answer in standard form with the highest degree in front in the numerator)

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6.

Simplify:

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15.

Given the function, the domain is:

(use set notation)

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16.

Given the function, the range is:

(use set notation)

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18.

The vertical asymptote of this function is:

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19.

The horizontal asymptote of this function is:

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20.

Which function below belongs in the same family of functions (has the same parent function) as the given graph?

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21.

Find the zero of the function:

(if your answer is a fraction, input the fraction NOT the decimal)

HINT!!!...set y = 0 then solve for x...note this does NOT follow the rules for rational functions

(this is NOT p(x)/q(x)) since there's an extra -2 at the back of the equation...just sub a 0 in for y and solve for x here to find the zero.

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22.

Given the function, what is the end behavior?

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23.

Given the function, what is the end behavior?

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24.

Identify the types of asymptotes for each of the equations below:

(grab the pretty circle on the right and move it to the correct answer...use your laws for asymptotes for rational functions)

Draggable itemarrow_right_altCorresponding Item

arrow_right_alt

No Asymptotes

arrow_right_alt

Both Horizontal and Vertical Asymptotes

arrow_right_alt

A Horizontal Asymptote but not a Vertical

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25.

Solve:

input your answer using set notation

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26.

Solve:

input your answer using set notation, low to high

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27.

(use 'd' for days and 'n' for number of construction workers)

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28.

Wind chill factor (W) varies directly with temperature (T) and inversely with the wind velocity (v). If k is the constant of proportionality, write an equation to represent this relationship:

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29.

Suppose c varies directly with a. When c = 20, a = 2. What is the value of c when a = 4?

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30.

Suppose y varies jointly with x and z. When y = 50, x = 2, and z = 1.5. What is the value of x when y = 35 and z = 4?

input your answer as a simplified fraction

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31.

What type of variation is shown the following equation? (direct, joint or inverse)

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32.

What type of variation is shown the following equation? (direct, joint or inverse)

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33.

upload your pages of work here--page 1

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34.

upload your pages of work here--page 2

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35.

upload your pages of work here--page 3

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36.

upload your pages of work here--page 4

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7.

The graph at the left can be modeled by the equation:

(go to show your work and create your asymptotes if necessary)

h=?

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8.

The graph at the left can be modeled by the equation:

k=?

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9.

The graph at the left can be modeled by the equation:

The function shifted horizontially:

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10.

The graph at the left can be modeled by the equation:

The function shifted vertically:

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11.

The graph at the left can be modeled by the equation:

The domain of the function is: (use set notation)

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12.

The graph at the left can be modeled by the equation:

The range of the function is: (use set notation)

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13.

The graph at the left can be modeled by the equation:

The end behavior of this function is:

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14.

The graph at the left can be modeled by the equation:

The end behavior of this function is:

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17.

This function has the following discontinuity: (check all that apply)