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, h(x)=yh(x) = y, we assign a domain value xx to a range value yy. Based on the information from the table, we can write the function notation for the given row as:

For the domain value x=2x = 2 and the range value y=3y = 3, the function notation is:

h(2)=3h(2) = 3

This means when x=2x = 2, the function h(x)h(x) outputs y=3y = 3.

Would you like more details or have any questions about this?

Here are five questions that might extend your understanding:

  1. What happens if we change the domain value to 4? How would the function notation look?
  2. Can we have multiple domain values that map to the same range value in function notation?
  3. How would we represent a function where no value from the domain maps to a particular range?
  4. Can the function h(x)h(x) be defined for negative values of xx?
  5. What does it mean if h(2)=0h(2) = 0 instead of h(2)=3h(2) = 3?

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