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Algebra 2 Domain and Range Practice

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Questions and Answers

What is the domain and range of a linear function?

[0, ∞) for range

All Reals for both (correct)

All Reals except 0

(0, ∞) for range

What is the domain and range of a quadratic function?

Domain: (0, ∞), Range: [0, ∞)

Domain: All Reals, Range: [0, ∞) (correct)

Domain: [0, ∞), Range: All Reals

Domain: All Reals, Range: Integers

What is the domain and range of the absolute value function?

Domain: [0, ∞), Range: All Reals

Domain: All Reals, Range: Integers

Domain: (0, ∞), Range: All Reals

Domain: All Reals, Range: [0, ∞) (correct)

What is the domain and range of the square root (radical) function?

Domain: [0, ∞), Range: [0, ∞) Signup and view all the answers

What is the domain and range of an exponential function?

Domain: All Reals, Range: (0, ∞) Signup and view all the answers

What is the domain and range of a logarithmic function?

Domain: (0, ∞), Range: All Reals Signup and view all the answers

What is the domain and range of a rational function?

Domain: All Reals not equal to 0, Range: All Reals not equal to 0 Signup and view all the answers

What is the domain of a cubic function?

Domain: All Reals Signup and view all the answers

What is the domain and range of a semicircle function?

Domain: [-1, 1], Range: [0, 1] Signup and view all the answers

What is the domain and range of the greatest integer function?

Domain: All Reals, Range: Integers Signup and view all the answers

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

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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!