Math Problem Statement
State the domain and range for each graph and then tellif the graph is a function (wite yes or no). In set builder notation
Solution
The graph you've provided is a horizontal line at .
Domain and Range:
-
Domain: The domain of the graph is all the possible values of . Since the line extends infinitely in both the positive and negative directions along the x-axis, the domain is: This means that can be any real number.
-
Range: The range is all the possible values of . Since the line is horizontal at , the range is: This means that is always 2.
Function Status:
- Is it a function? Yes, this graph is a function because for every value of , there is exactly one corresponding value of (which is 2 in this case).
Set Builder Notation:
- Domain:
- Range:
Would you like more details on this, or do you have any other questions?
Here are some related questions to expand your understanding:
- What would the graph look like if the line was at ?
- How would the domain and range change if the line was vertical instead of horizontal?
- Can you provide an example of a graph that is not a function?
- What is the significance of a graph passing the vertical line test?
- How would the domain and range be different for a parabolic graph ?
Tip: The vertical line test is a quick way to determine if a graph represents a function—if any vertical line crosses the graph more than once, it's not a function!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Functions
Graphing
Set Builder Notation
Formulas
-
Theorems
-
Suitable Grade Level
Grades 9-12
Related Recommendation
Domain, Range, and Function Status of a Graph - Explained
Analyzing Domain, Range, and Functionality of Graphs
Understanding Domain, Range, and Function in Graphs: Analysis and Set-Builder Notation
Determining Domain, Range, and Functionality of Graphs: Math Analysis
Determining Domain and Range Using Set-Builder Notation