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3/2/2022-Inverse Functions & Review for Unit 5 Test cloned 3/1/2022

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STAY TUNED...THIS ASSIGNMENT WILL BECOME THE UNIT 5 TEST REVIEW...ONCE YOU ARE FINISHED AT THIS POINT, OPEN IT AGAIN THIS WEEKEND. THE REST OF THE REVIEW WILL POST BY SUNDAY!!! DUE ON TUESDAY PRIOR TO CLASS.

REMEMBER OFFICE HOURS: MONDAY, 11am-12pm AND 1pm-2pm

UNIT 5 TEST TUESDAY!!!!

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1.

Find the inverse of the function:

Be sure to enter you answer using:

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2.

Find the inverse of the function:

Be sure to enter you answer using:

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3.

Find the inverse of the function:

Be sure to enter you answer using:

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4.

Given:

Perform the following operation (include the operation in your answer):

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5.

Given:

Perform the following operation (include the operation in your answer):

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6.

Given:

Perform the following operation:

NOTE: just enter your answer...your math editor won't allow you to type in

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7.

Given:

Perform the following operation:

NOTE: just enter your answer...your math editor won't allow you to type in

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8.

Given the functions:

Find:

(just enter your answer)

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9.

Find the inverse of the function:

Find

(just enter your answer)

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10.

Given your answers for questions 8 & 9, are these functions inverses of each other?

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11.

Explain your reasoning for your answer in #10.

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12.

Find the inverse of the function:

Be sure to enter you answer using:

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13.

Find the inverse of the function:

Be sure to enter you answer using:

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14.

upload your pages of work here--page 1 (from 1st portion if you want to)

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15.

upload your pages of work here--page 2 (from 1st portion if you want to)

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16.

upload your pages of work here--page 3 (from 1st portion if you want to)

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17.

Solve:

use x= for your answer

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18.

Solve:

use x= for your answer

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19.

Given:

from #17, what is the extraneous solution?

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20.

Given:

find

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21.

The graph of function g is shown below:

Which graph best represents the inverse of g?

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22.

The square root parent function has been reflected across the x-axis and then shifted 3 units left and 2 units up. Write an equation to represent this transformation:

(use f(x)= in your answer)

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23.

Graph the function that you found in #21 above.

(use numbers for x that will result in a perfect square under the radical)

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24.

Given the function:

What is the domain? (you might want to graph this in show your work to help you)

(use set notation { }, no spaces please)

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25.

Given the function:

What is the range?

(use set notation { }, no spaces please)

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26.

Given the function:

What is the end behavior?

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27.

Given the function:

What is the end behavior?

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28.

Given:

What is equivalent in simplest radical form?

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29.

Given:

Simplify. Express your answer in simplest radical form.

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30.

Given:

Simplify. Express your answer in simplest radical form.

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31.

Given:

Simplify. Express your answer as an equivalent using fractional exponents.

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32.

Given:

Simplify. Express your answer in simplest radical form.

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33.

Given:

Simplify. Express your answer in simplest radical form.

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34.

Given:

Simplify. Express your answer in simplest radical form.

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35.

Given:

Simplify. Express your answer in simplest radical form.

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36.

Solve:

Answer using x=? (separate by commas if necessary)

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37.

Given:

Find:

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38.

Given:

Find:

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39.

Given:

Are these 2 functions inverses of each other?

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40.

Given:

Find:

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41.

Given:

Find:

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42.

Given:

Find:

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43.

Given:

Find:

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44.

Simplify:

Express your answer in simplest radical form.

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45.

upload your pages of work here--page 1

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46.

upload your pages of work here--page 2

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47.

upload your pages of work here--page 3

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48.

upload your pages of work here--page 4

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49.

upload your pages of work here--page 5

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50.

upload your pages of work here--page 6