Escape the Room: Domain, Range, & Functions
Erica Jolly
Created on October 22, 2024
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Transcript
Escape the Room:Domain, Range, & Functions - Jolly
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.
Review Video
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).