Math Problem Statement
Solution
Let's go through the problem based on the graph you provided:
The graph represents , and you need to find the following:
a)
Look for where on the graph. The corresponding value of at is approximately 1.
So, .
b)
Look for where on the graph. The corresponding value of at is approximately 0.
So, .
c) The domain
The domain represents all the possible values of . From the graph, the function appears to be defined for all between -5 and 3 (inclusive), so:
The domain is .
d) The range
The range represents all the possible values of . From the graph, the lowest point is and the highest point is . Thus:
The range is .
Summary of the answers:
- a)
- b)
- c) Domain:
- d) Range:
Would you like more details on any part of this? Here are some related questions to expand your understanding:
- How do you determine the domain of a function from its graph?
- What is the process for finding a function's range from a graph?
- How would the answers change if the graph had open endpoints?
- What are some real-world examples where functions like this might apply?
- How can you use transformations to modify the graph of ?
Tip: Always check if there are any breaks or holes in a graph when determining the domain and range.
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Math Problem Analysis
Mathematical Concepts
Function Evaluation
Domain and Range
Graph Interpretation
Formulas
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Theorems
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Suitable Grade Level
Grades 9-11