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Escape the Room: Domain, Range, & Functions

Katherine Crain

Created on September 6, 2021

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Transcript

Escape the Room: Domain, Range, & Functions

Test Review

GO!

01 Quiz

Review Video

02 Find!

Index

Collect all the numbers by completing each of the challenges, and enter them in order in the final section to finish the game.

04 Vocabulary

03 Correct image

Reward

Review Video

QUIZ

Complete the following quiz, and getthe first number towards your reward!

start

QUIZ

question 1/5

What is the domain of the function?

All Real Numbers

0 < x < 3

0 < x < 3

QUIZ

RIGHT!

Explanation:You ALWAYS need to check for open circles versuses closed circles on the numbers you got after cropping your image. Also, domain means x-values, so you need to draw your lines DOWN through the x-axis in order to see what needs are needed.

next

QUIZ

question 2/5

What is the range of the function?

-3 < y < ∞

1 < y < 4

1 < y < ∞

QUIZ

RIGHT!

Explanation: Range means y-values; therefore, you need to draw your lines to the RIGHT, so you see what number(s) on the y-axis you need. Lastly, arrows mean infinity and since the arrow is going up forever we are approaching positive infinity.

NEXT

QUIZ

QUESTION 3/5

What is the domain AND range of the function?

D: -∞ < x < 2R: ℝ

D: -∞ < x < 2R: ℝ

D: ℝR: -∞ < y < 2

QUIZ

RIGHT!

Explanation:Domain means x-values and Range means y-values. With the Domain, there is a definite stopping point at 2 and the arrows on the functions go forever left AKA -∞. The Range has NO stopping point in either direction; therefore, it will touch EVERY SINGLE y-values, so the answer is all real numbers (ℝ).

NEXT

QUIZ

QUESTION 4/5

Is the following relation a function? Explain.

Yes, because the graph passes the vertical line test.

Yes, because the graph fails the vertical line test.

No, because the graph fails the vertical line test.

QUIZ

RIGHT!

Explanation: The relation is NOT a function because it fails the vertical line test. Meaning that any vertical line you draw through the relation hits it MORE THAN ONCE.

NEXT

QUIZ

QUESTION 5/5

State the domain and range. Then identify if the relation is a function.

D: -2 < x < 3R: -2 < y < 5 Yes, it is a function.

D: -2 < x < 3R: -2 < y < 5 Yes, it is a function.

D: -2 < x < 3R: 1 < y < 5 Yes, it is a function.

QUIZ

RIGHT!

Explanation: ALWAYS crop your picture first. Draw your lines DOWN for DOMAIN and to the RIGHT for RANGE. Doing this ensures that you won't accidentally cut off a part of the graph unintentionally. After that check for open and closed circles to ensure that you are using the correct inequality symbols.

NEXT

QUIZ

ERROR!

Wrong!Domain = x-valuesRange = y-values Closed circle or On the line = < Open circle or arrows (∞) = < Function? = x-values CAN'T repeat!

TRY AGAIN

FIND!

From among all the statements you discover,click only on the correct ones

START

CLICK ONLY ON THE CORRECT STATEMENT 1/3

Domain means all the y-values

You can drag the light to search through the darkness

Ranges means all the y-values

Output means x-values

Input means y-values

CLICK ONLY ON THE CORRECT STATEMENT 2/3

Given f(-2) = 3, 3 would be labeled as the x-value.

In order to be a function, the x-value CAN'T repeat.

You can drag the light to search through the darkness

Given f(-2) = 3, the corresponding ordered pair would be (3, 2)

Correct!

The y-value comes first in an ordered pair.

In order to be a function, the y-value CAN'T repeat.

CLICK ONLY ON THE CORRECT STATEMENT 3/3

< means closed circle

Arrows to the right mean ∞

You can drag the light to search through the darkness

RIGHT!

Arrows to the left mean ∞

Arrows up mean -∞

< means open circle

ERROR!

Wrong! That statement is incorrect

TRY AGAIN

CORRECT IMAGE

Choose the correct image

start

given f(x) = 2x-3, what is the value of f(0)?

Which graph is apart of the linear function family?

RIGHT!

GIVEN , WHAT IS THE VALUE OF g(x)=11?

RIGHT!

Which graph is apart of the absolute value function family?

RIGHT!

Given what is the value of h(x) = 5?

RIGHT!

ERROR!

TRY AGAIN

serieS

Choose the correct shape in the series

START

Match the vocabulary with correct function notation

horizontal axis

domain

input

x-values

Choose the correct shape

f(x) = -9

f(11) = 8

f(7)

MATCH THE VOCABULARY WITH CORRECT FUNCTION NOTATION

RIGHT!

vertical axis

range

y-values

output

Choose the correct shape:

f(x) = 8

f(3) = 6

f(-5)

Given the table below, which bests describes what you see?

RIGHT!

Choose the correct shape:

Range: {8, 10, 12, 14}

g(-12) = 8

Domain: {8, 10, 12, 14}

Domain: {-12, -7, 10, 7}

g(7) = 14

It is a function

ERROR!

ERROR!

Wrong!

TRY AGAIN

GREAT!

THE FIRST NUMBER IS:

BACK TO INDEX

GREAT!

THE SECOND NUMBER IS:

BACK TO INDEX

GREAT!

THE THIRD NUMBER IS:

BACK TO INDEX

GREAT!

THE FOURTH NUMBER IS:

BACK TO INDEX

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