Continuous v Discrete Functions
Authored by Jason Hoy
Mathematics
7th - 9th Grade
CCSS covered
Used 294+ times
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About
This quiz focuses on the fundamental mathematical concept of distinguishing between discrete and continuous functions, specifically targeting the analysis of domains and their real-world applications. The content is appropriate for grades 7-9, as it requires students to understand linear functions, interpret mathematical models in context, and classify data types based on whether variables can take on all possible values within a range or only specific, countable values. Students need to master the core concept that discrete functions involve countable quantities (like number of students, cars washed, or items purchased) while continuous functions involve measurable quantities that can take any value within a range (like time, distance, speed, or weight). The quiz progresses from analyzing function equations in context to identifying discrete versus continuous scenarios in isolation, then connecting this understanding to graphical representations where discrete functions are plotted as separate points and continuous functions as connected lines or curves. Created by Jason Hoy, a Mathematics teacher in US who teaches grade 7 and 9. This comprehensive assessment tool supports classroom instruction by helping students bridge the gap between abstract mathematical concepts and real-world applications. Teachers can use this quiz as a formative assessment to gauge student understanding before moving to more complex function analysis, as a review activity following initial instruction on function types, or as homework to reinforce classroom learning. The variety of question formats—from contextual function analysis to direct classification of scenarios—makes it ideal for warm-up activities or comprehensive review sessions. This quiz aligns with Common Core standards 8.F.A.1 (understanding functions as relationships between variables) and supports the foundational understanding needed for standards like A-CED.A.2 and A-CED.A.3, which involve creating and interpreting mathematical models in real-world contexts.
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34 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Determine whether the domain of the function is discrete or continuous:
A car traveling 65 miles per hour brakes at a steady rate to a stop. The function y = -5t + 65 represents the speed y of the car after t seconds.
Discrete
Continuous
Tags
CCSS.HSF.IF.B.5
CCSS.HSF.IF.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Determine whether the domain of the function is discrete or continuous.
A fitness club membership has a $100 initiation fee plus a $19 monthly fee. The function y = 19x + 100 represents the cost y (in dollars) of a membership after x months.
Discrete
Continuous
Tags
CCSS.HSF.IF.B.5
CCSS.8.F.A.1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Determine whether the domain of the function is discrete or continuous.
The function y=8x represents the cost y (in dollars) to hit x buckets of golf balls at a driving range.
Discrete
Continuous
Tags
CCSS.HSF.IF.B.5
CCSS.HSF.IF.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Determine whether the domain of the function is discrete or continuous.
The function 15 = 3x + 2y represents how many $3 packs of colored pens x and $2 drawing pads y you can buy spending exactly $15.
Discrete
Continuous
Tags
CCSS.HSA.CED.A.2
CCSS.HSA.CED.A.3
CCSS.HSA.REI.D.10
CCSS.HSF.IF.B.4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Adam earns $10 for each car he washes.
Tags
CCSS.HSF-LE.A.1B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A hairdresser at Fantastic Sam’s earns $12 per haircut.
Tags
CCSS.HSF-LE.A.1B
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Soft drinks sold from a vending machine cost $1.75 per bottle.
Discrete
Continuous
Tags
CCSS.HSF-LE.A.1B
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