Questions and Answers
What is the domain and range of a linear function?
What is the domain and range of a quadratic function?
What is the domain and range of the absolute value function?
What is the domain and range of the square root (radical) function?
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What is the domain and range of an exponential function?
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What is the domain and range of a logarithmic function?
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What is the domain and range of a rational function?
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What is the domain of a cubic function?
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What is the domain and range of a semicircle function?
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What is the domain and range of the greatest integer function?
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Study Notes
Linear Functions
- Domain: All real numbers
- Range: All real numbers
Quadratic Functions
- Domain: All real numbers
- Range: [0, ∞), indicating outputs never go below zero
Absolute Value Functions
- Domain: All real numbers
- Range: [0, ∞), outputs are always non-negative
Square Root/Radical Functions
- Domain: [0, ∞), only non-negative inputs are allowed
- Range: [0, ∞), outputs are also non-negative
Exponential Functions
- Domain: All real numbers
- Range: (0, ∞), outputs approach zero but never reach it
Logarithmic Functions
- Domain: (0, ∞), inputs must be positive real numbers
- Range: All real numbers, can output any real value
Rational Functions
- Domain: All real numbers except for zero (denominator cannot be zero)
- Range: All real numbers except for zero (outputs cannot equal zero)
Cubic Functions
- Domain: All real numbers
- Range: All real numbers, can output any value
Semicircle Functions
- Domain: [-1, 1], defined between -1 and 1 inclusively
- Range: [0, 1], outputs are constrained between 0 and 1 inclusively
Greatest Integer Functions
- Domain: All real numbers
- Range: Integers only, outputs are restricted to whole numbers
Studying That Suits You
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Description
Test your understanding of domain and range concepts in Algebra 2 with this flashcard quiz. Each card features a different type of function and its respective domain and range. Perfect for reinforcing key algebraic concepts!