Math Problem Statement
Solution
Let's go through the graph and questions:
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g(-1):
From the graph, find the value of the function when . At , the y-coordinate (function value) is approximately 0. -
g(1):
Look at the graph at . The function value at this point is 4. -
The domain:
The domain refers to all the possible input values (x-values) for which the function is defined. Looking at the graph, the function is defined from to . Hence, the domain is:
Domain: . -
The range:
The range refers to all the possible output values (y-values). From the graph, the lowest y-value is 0, and the highest y-value is 5. Hence, the range is:
Range: .
Summary of Answers:
- a)
- b)
- c) Domain:
- d) Range:
Would you like further details or explanations?
Here are 5 related questions to practice:
- What is from the graph?
- How would you find using the graph?
- Can a function have a domain that is not continuous?
- Explain the difference between domain and range in functions.
- How do you determine the maximum or minimum value of a function from its graph?
Tip: When determining the domain of a function, always look at the x-values covered by the graph, while for the range, examine the y-values.
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Math Problem Analysis
Mathematical Concepts
Graph Interpretation
Functions
Domain and Range
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9