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Scatterplots to Mapping Diagrams
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Scatterplots to Mapping Diagrams
📊 Part 1: Analyzing Scatterplots
1. Look at the scatterplot showing the relationship between hours studied and test scores. Which statement best describes the pattern?
As hours increase, test scores decrease
As hours increase, test scores increase
There is no clear pattern
The relationship is not linear
2. A scatterplot shows points at (1,3), (2,5), (3,7), (2,4), and (4,9). Which of the following is true?
This represents a function because each x-value has only one y-value
This is not a function because x = 2 has two different y-values
This is a linear function
The domain is {3, 4, 5, 7, 9}
3. From the given scatterplot points: (0,1), (1,4), (2,7), (3,10), what is the domain?
{1, 4, 7, 10}
{0, 1, 2, 3}
{0, 1, 2, 3, 4, 7, 10}
{1, 4, 7}
4. Which characteristics help identify if a scatterplot represents a function? (Check all that apply)
Each x-value appears only once
Each y-value appears only once
No vertical line passes through more than one point
The points form a straight line
🗺️ Part 2: Creating Mapping Diagrams
5. Convert the following scatterplot points into a mapping diagram: (1,2), (3,6), (4,8), (1,3)
6. A scatterplot shows the relationship between the number of pets (x) and hours of sleep (y): (0,8), (1,7), (2,6), (3,5). Draw the mapping diagram below and determine if this is a function.
Is this a function? ________ Explain: ________________________
7. Look at this mapping diagram and describe what the corresponding scatterplot would look like:
Input → Output
2 → 4
3 → 9
4 → 16
5 → 25
8. From the scatterplot points (2,1), (4,1), (6,1), (8,1), what would the mapping diagram show about the range?
The range has four different values
The range contains only one value: {1}
The range is {2, 4, 6, 8}
There is no range
🤔 Part 3: Analysis and Reflection
9. Explain the main advantage of using a mapping diagram instead of a scatterplot when determining if a relation is a function.
10. A student claims that if a scatterplot shows a curved pattern, it cannot be a function. Do you agree or disagree? Explain your reasoning.
11. Create your own example: Write 4 ordered pairs that would form a scatterplot that is NOT a function, then explain why.
Ordered pairs: ( ___, ___ ), ( ___, ___ ), ( ___, ___ ), ( ___, ___ )
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