Questions and Answers
Which of the following options correctly represents the domain of a function?
Which of the following options correctly represents the range of a function?
What is the solution to the given inequality in interval notation?
[-4,∞)
What is the solution to the given inequality in interval notation?
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What is the solution to the given inequality in interval notation?
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What is the parent function of the given graph and how does its domain and range compare?
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Which graph represents a function with a domain of [0, ∞) and a range of [0, ∞)?
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Study Notes
Domain and Range Basics
- The domain of a function comprises all possible x-values.
- The range consists of all possible y-values.
Interval Notation
- Example of an interval notation solution:
- [-4, ∞) indicates that the domain starts from -4 and extends to positive infinity, including -4.
- (-∞, 0) shows that the solution includes all values less than 0, excluding 0 itself.
- (0, 6) represents all values between 0 and 6, excluding both endpoints.
Parent Functions
- The parent function is the simplest form of a function in a family of functions.
- The domain and range of a parent function can be characterized by infinity, indicating it has no restrictions in either direction for both domain and range.
- An analysis is needed to compare the domain and range of the parent function with that of a given graph to identify similarities and differences.
Identifying Functions
- A function can be represented graphically, and certain characteristics, such as its domain and range, can be used to validate its classification.
- Graph D represents a function with a domain of [0, ∞) and a range of [0, ∞), showing it starts from zero and includes all positive values.
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Description
Test your understanding of the domain and range in functions with this flashcard quiz. Each card focuses on key concepts such as x-values, y-values, and interval notation. Challenge yourself and reinforce your knowledge of these fundamental mathematical principles.