Math Problem Statement
Which set of ordered pairs represents y as a function of x?
Solution
To determine which set of ordered pairs represents as a function of , we need to verify that for each input , there is only one corresponding value. In other words, is a function of if each -value in the set of ordered pairs is unique.
Let's examine each option:
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Option F:
- Here, the -value appears twice, associated with two different -values ( and ).
- This does not satisfy the requirement for a function since an -value should not map to more than one -value.
- Therefore, F is not a function.
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Option G:
- Here, both and each appear twice as -values, each with different -values.
- This also does not satisfy the requirement for a function.
- Therefore, G is not a function.
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Option H:
- Each -value here is unique, meaning no -value is repeated.
- This satisfies the requirement for to be a function of .
- Therefore, H is a function.
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Option J:
- The -value (which is 1) appears twice, each time with a different -value ( and ).
- This does not satisfy the requirement for a function.
- Therefore, J is not a function.
Based on this analysis, the correct answer is:
Option C (H)
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Math Problem Analysis
Mathematical Concepts
Functions
Ordered Pairs
Mapping Relations
Formulas
-
Theorems
Definition of a Function
Suitable Grade Level
Grades 9-10