Math Problem Statement
Use function notation, h(x) = y, to represent the function information given in each row of the table below. Domain Range Function notation 2 3 h
=
Solution
In function notation, , we assign a domain value to a range value . Based on the information from the table, we can write the function notation for the given row as:
For the domain value and the range value , the function notation is:
This means when , the function outputs .
Would you like more details or have any questions about this?
Here are five questions that might extend your understanding:
- What happens if we change the domain value to 4? How would the function notation look?
- Can we have multiple domain values that map to the same range value in function notation?
- How would we represent a function where no value from the domain maps to a particular range?
- Can the function be defined for negative values of ?
- What does it mean if instead of ?
Tip: In function notation, each input from the domain must map to only one output in the range for it to be a valid function.
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Math Problem Analysis
Mathematical Concepts
Function Notation
Domain and Range
Algebra
Formulas
h(x) = y
Theorems
Function Definition Theorem
Suitable Grade Level
Grades 8-10