Determine whether each set of ordered pairs represents a function or not Put mark on the appropriate column Determine also the number of points that intersect any cal line Set of Ordered Pairs…
Question
Determine whether each set of ordered pairs represents a function or not. Put mark on the appropriate column. Determine also the number of points that intersect any cal line. Set of Ordered Pairs Function Not Function Number of Points that Intersect a Vertical Line 1. {(4, 0), (4, 1), (4, 2)} 2. {(0, -2), (1, 1), (3, 7), (2, 4)} 3. {(-2, 2), (-1, 1), (0, 0), (1, 1)} 4. {(-2, 8), (-1, 2), (0, 0), (1, 2), (2, 8)} 5. {(3, 3), (0, 0), (-3, 3)} 6. {(-2, 0), (-1, √3), (-1, -√3), (0, 2), (0, -2), (1, √3), (1, -√3), (2, 0)}
Basic Answer
Step 1: Determine if Each Set of Ordered Pairs Represents a Function
A set of ordered pairs represents a function if each x-value corresponds to exactly one y-value. If an x-value appears more than once with different y-values, it is not a function.
Step 2: Count the Number of Points that Intersect a Vertical Line
For each set of ordered pairs, count how many points have the same x-value. This number indicates how many points intersect any vertical line.
Step 3: Fill in the Table
| Set of Ordered Pairs | Function | Not Function | Number of Points that Intersect a Vertical Line |
|---|---|---|---|
| 1. {(4, 0), (4, 1), (4, 2)} | ✓ | 3 | |
| 2. {(0, -2), (1, 1), (3, 7), (2, 4)} | ✓ | 1 | |
| 3. {(-2, 2), (-1, 1), (0, 0), (1, 1)} | ✓ | 1 | |
| 4. {(-2, 8), (-1, 2), (0, 0), (1, 2), (2, 8)} | ✓ | 1 | |
| 5. {(3, 3), (0, 0), (-3, 3)} | ✓ | 1 | |
| 6. {(-2, 0), (-1, √3), (-1, -√3), (0, 2), (0, -2), (1, √3), (1, -√3), (2, 0)} | ✓ | 2 |
Final Answer
The table above indicates whether each set of ordered pairs represents a function or not and the number of points that intersect any vertical line.
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