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?

<p>Domain: [0, ∞), Range: [0, ∞) (C)</p> Signup and view all the answers

What is the domain and range of an exponential function?

<p>Domain: All Reals, Range: (0, ∞) (C)</p> Signup and view all the answers

What is the domain and range of a logarithmic function?

<p>Domain: (0, ∞), Range: All Reals (D)</p> Signup and view all the answers

What is the domain and range of a rational function?

<p>Domain: All Reals not equal to 0, Range: All Reals not equal to 0 (D)</p> Signup and view all the answers

What is the domain of a cubic function?

<p>Domain: All Reals (A)</p> Signup and view all the answers

What is the domain and range of a semicircle function?

<p>Domain: [-1, 1], Range: [0, 1] (B)</p> Signup and view all the answers

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

<p>Domain: All Reals, Range: Integers (D)</p> 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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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!

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