Math Problem Statement
what's the range and the domain
Solution
Looking at the graph you provided, which is a parabola, I can determine the domain and range.
-
Domain: The domain represents the set of all possible -values for which the function is defined. From the graph, the parabola starts at and ends at . So the domain is:
-
Range: The range represents the set of all possible -values that the function can take. The lowest point of the parabola is at , and the highest points are at , which is at both and . So the range is:
Let me know if you'd like further details on interpreting such graphs!
Here are some relative questions:
- How would the domain change if the parabola extended further in both directions?
- How would the range change if the vertex of the parabola moved up or down?
- What does the vertex of the parabola represent in terms of the function?
- How would you describe a parabola that opens downward instead of upward?
- Can the domain of a function ever be restricted in real-world problems?
Tip: Always remember that the domain of a function tells you the valid inputs, and the range tells you the possible outputs.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Functions
Quadratic Functions
Graphing Parabolas
Formulas
Domain: Set of possible x-values
Range: Set of possible y-values
Theorems
Properties of Parabolas
Graphing Quadratic Functions
Suitable Grade Level
Grades 7-10