Math Problem Statement
Solution
Let's analyze the question.
A table represents a function if every x-value corresponds to exactly one y-value (no x-value is repeated with a different y-value).
Given Table:
x | y |
---|---|
4 | 0 |
7 | 5 |
8 | 5 |
8 | 8 |
10 | 9 |
From the table:
- The x-value
8
is repeated, but it corresponds to two different y-values:5
and8
.
This violates the rule for functions that says each x-value must pair with only one y-value. Hence, this table does not represent a function.
Correct Answer:
D. No, because one x-value corresponds to two different y-values.
Would you like me to explain this in more detail or clarify further?
Here are 5 related questions for deeper understanding:
- What is the definition of a function in terms of x- and y-values?
- How can you quickly identify whether a table represents a function?
- What is the difference between a function and a relation?
- Can two different x-values correspond to the same y-value in a function? Why?
- How would this concept apply to a graph representation?
Tip: A quick way to check for functions is the vertical line test for graphs or ensuring no x-values repeat with different y-values in tables.
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Math Problem Analysis
Mathematical Concepts
Functions
Relations
Algebra
Formulas
A relation is a function if each x-value maps to exactly one y-value
Theorems
Definition of a function
Suitable Grade Level
Grade 8-9