Math Problem Statement
Use the graph shown below. Write your answers in interval notation. Domain: _______ Range: _______
Solution
Based on the graph in the image, let's determine the domain and range of the function.
Domain:
The domain consists of all the x-values where the function is defined. From the graph:
- The x-values range from -5 to 6 (inclusive), as the function exists between these points.
Thus, the domain is:
Range:
The range consists of all the y-values the function can take. From the graph:
- The lowest y-value is -5, and the highest y-value is 5.
Thus, the range is:
You can now input:
- Domain:
- Range:
Would you like more details or have any questions?
Here are five related questions to explore:
- How do you determine the domain and range of a more complex graph?
- How would the domain and range change if there were open or closed dots on the graph?
- What happens to the domain and range when dealing with piecewise functions?
- Can you have a function with an infinite domain but a finite range?
- How do transformations like shifting or stretching affect the domain and range of a function?
Tip: Always look for any breaks or gaps in the graph when determining the domain and range.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Domain and Range
Graph Analysis
Functions
Formulas
-
Theorems
-
Suitable Grade Level
Grades 7-9