Math Problem Statement
Find the domain and the range of the function shown in the graph.
Solution
To find the domain and range of the function from the graph:
-
Domain: The domain refers to the possible values of the input variable, which is time (days) on the horizontal axis.
- From the graph, the time starts at 0 days and extends to 60 days. Therefore, the domain is:
where represents time in days.
- From the graph, the time starts at 0 days and extends to 60 days. Therefore, the domain is:
-
Range: The range refers to the possible values of the output variable, which is the length of the road (in kilometers) on the vertical axis.
- From the graph, the length of the road starts at 60 kilometers and increases to 240 kilometers. Therefore, the range is:
where represents the length of the road in kilometers.
- From the graph, the length of the road starts at 60 kilometers and increases to 240 kilometers. Therefore, the range is:
Would you like more details or have any questions on this?
Here are some related questions:
- What does it mean if the domain is "all reals" in a function?
- How can we represent the domain and range on a number line?
- How do we determine domain and range from a table of values?
- What happens if the graph has breaks or undefined points?
- Can a function have a limited domain but an infinite range?
Tip: The domain represents all valid inputs (x-values), while the range represents all possible outputs (y-values) from the function.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Functions
Domain and Range
Formulas
Domain: 0 ≤ x ≤ 60
Range: 60 ≤ y ≤ 240
Theorems
Basic function graph interpretation
Suitable Grade Level
Grades 7-9