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Questions and Answers
Why is the given relation in Problem 3 classified as a function?
Why is the given relation in Problem 3 classified as a function?
For graph b in Problem 4, which statement about the intervals of increase and decrease is correct?
For graph b in Problem 4, which statement about the intervals of increase and decrease is correct?
What x-intercepts are observed in graph c?
What x-intercepts are observed in graph c?
What can be inferred about the behavior of the function shown in graph a?
What can be inferred about the behavior of the function shown in graph a?
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Which of the following best describes the outputs of the relation in Problem 3?
Which of the following best describes the outputs of the relation in Problem 3?
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Is the graph in Exercise 1a a function?
Is the graph in Exercise 1a a function?
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What is the domain type for the graph in Exercise 1b?
What is the domain type for the graph in Exercise 1b?
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What are the y-intercept and x-intercept for the graph in Exercise 2b?
What are the y-intercept and x-intercept for the graph in Exercise 2b?
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In which interval is the graph in Exercise 2b increasing?
In which interval is the graph in Exercise 2b increasing?
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What is the range of the graph in Exercise 1c?
What is the range of the graph in Exercise 1c?
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Study Notes
Determining if a Relation is a Function
- A relation is a function if each input value corresponds to exactly one output value.
Analyzing a Graph
- The x-intercept is the point where the graph crosses the x-axis.
- The y-intercept is the point where the graph crosses the y-axis.
- A graph is increasing when the y-value increases as the x-value increases.
- A graph is decreasing when the y-value decreases as the x-value increases.
Discrete and Continuous Domains
- A discrete domain consists of separate, distinct values, often represented as a set of numbers.
- A continuous domain includes all values within a given range, often represented using inequalities.
Worksheet Examples
- Nancy Rajoub completed a math worksheet on November 14th, 2004, in Algebra 1 CPA during Period 4.
Function Examples
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Exercise 1: Graphs are analyzed for whether they represent functions, and their domain and range are identified.
- The domain is the set of possible input values.
- The range is the set of possible output values.
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Exercise 2: Graphs' x-intercepts, y-intercepts, increasing intervals, and decreasing intervals are determined from the graphs.
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Description
Test your understanding of functions and their properties in Algebra 1. This quiz covers determining if a relation is a function, analyzing graphs, and understanding discrete versus continuous domains. Practice your skills with real worksheet examples and exercises.
