# Escape the Room: Domain, Range, & Functions

Citlaly Soto

Created on September 20, 2024

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## Transcript

Escape the Room:Domain, Range, & Functions

Test Review

GO!

Index

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

Reward

01 Quiz

02 Find!

03 Correct image

04 Vocabulary

Review Video

start

QUIZ

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

QUIZ

question 1/5

What is the domain of the function?

All Real Numbers

0 < x < 3

0 < x < 3

next

RIGHT!

QUIZ

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.

question 2/5

What is the range of the function?

1 < y < ∞

-3 < y < ∞

1 < y < 4

QUIZ

NEXT

RIGHT!

QUIZ

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.

QUESTION 3/5

What is the domain AND range of the function?

D: -∞ < x < 2R: ℝ

D: ℝR: -∞ < y < 2

D: -∞ < x < 2R: ℝ

QUIZ

NEXT

RIGHT!

QUIZ

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).

QUESTION 4/5

Is the following relation a function? Explain.

Yes, because the graph passes the vertical line test.

No, because the graph fails the vertical line test.

Yes, because the graph fails the vertical line test.

QUIZ

NEXT

RIGHT!

QUIZ

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.

QUESTION 5/5

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

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

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

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

QUIZ

NEXT

RIGHT!

QUIZ

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.

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

ERROR!

TRY AGAIN

QUIZ

FIND!

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

START

CLICK ONLY ON THE CORRECT STATEMENT 1/3

You can drag the light to search through the darkness

Input means y-values

Domain means all the y-values

Output means x-values

Ranges means all the y-values

CLICK ONLY ON THE CORRECT STATEMENT 2/3

You can drag the light to search through the darkness

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

The y-value comes first in an ordered pair.

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

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

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

Correct!

CLICK ONLY ON THE CORRECT STATEMENT 3/3

You can drag the light to search through the darkness

< means open circle

Arrows up mean -∞

Arrows to the left mean ∞

Arrows to the right mean ∞

< means closed circle

RIGHT!

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)?

RIGHT!

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?

ERROR!

TRY AGAIN

START

serieS

Choose the correct shape in the series

Match the vocabulary with correct function notation

Choose the correct shape

?

f(11) = 8

f(x) = -9

f(7)

input

x-values

horizontal axis

domain

MATCH THE VOCABULARY WITH CORRECT FUNCTION NOTATION

Choose the correct shape:

?

f(-5)

f(x) = 8

f(3) = 6

RIGHT!

y-values

output

vertical axis

range

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

RIGHT!

Choose the correct shape:

Domain: {8, 10, 12, 14}

g(-12) = 8

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

g(7) = 14

Range: {8, 10, 12, 14}

It is a function

ERROR!

Wrong!

ERROR!

TRY AGAIN

7

GREAT!

THE FIRST NUMBER IS:

BACK TO INDEX

0

GREAT!

THE SECOND NUMBER IS:

BACK TO INDEX

9

GREAT!

THE THIRD NUMBER IS:

BACK TO INDEX

2

GREAT!

THE FOURTH NUMBER IS:

BACK TO INDEX

ENTER THE SECRET CODE

Congratulations!

You've won the prize (knowledge for your math test).