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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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