Algebra 1 - Domain & Range Quiz

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Questions and Answers

What is the domain of the function?

  • [-4, 4]
  • [-6, 6] (correct)
  • x = -5
  • [-7, 5)

What is the range of the function?

  • [-4, 4]
  • [0, 6] (correct)
  • [-2, 6)
  • [-3, 1)

Does the graph show a function?

True (A)

What is the domain of the second function?

<p>[-7, 5) (C)</p> Signup and view all the answers

What is the range of the second function?

<p>[-3, 1) (D)</p> Signup and view all the answers

Does the second graph show a function?

<p>True (A)</p> Signup and view all the answers

What is the domain of the third function?

<p>x = -5 (C)</p> Signup and view all the answers

What is the range of the third function?

<p>-2 &lt; y &lt; 6 (C)</p> Signup and view all the answers

Does the third graph show a function?

<p>False (B)</p> Signup and view all the answers

What is the domain of the fourth function?

<p>[-4, 4] (D)</p> Signup and view all the answers

What is the range of the fourth function?

<p>[-4, 4] (A)</p> Signup and view all the answers

Does the fourth graph show a function?

<p>False (B)</p> Signup and view all the answers

What is the domain of the fifth function?

<p>[0, Infinity) (A)</p> Signup and view all the answers

What is the range of the fifth function?

<p>(-Infinity, Infinity) (D)</p> Signup and view all the answers

Does the fifth graph show a function?

<p>False (B)</p> Signup and view all the answers

What is the domain of the sixth function?

<p>x &gt; 0 (D)</p> Signup and view all the answers

What is the range of the sixth function?

<p>y = 4 (D)</p> Signup and view all the answers

Does the sixth graph show a function?

<p>True (A)</p> Signup and view all the answers

What is the domain of the seventh function?

<p>(-3, 5] (A)</p> Signup and view all the answers

What is the range of the seventh function?

<p>[-1] (B)</p> Signup and view all the answers

Does the seventh graph show a function?

<p>True (A)</p> Signup and view all the answers

What is the domain of the eighth function?

<p>[-4, 2] (C)</p> Signup and view all the answers

What is the range of the eighth function?

<p>[-2, 4] (D)</p> Signup and view all the answers

Does the eighth graph show a function?

<p>True (A)</p> Signup and view all the answers

What is the domain of the ninth function?

<p>(-3, 4) (A)</p> Signup and view all the answers

What is the range of the ninth function?

<p>[0, 5) (A)</p> Signup and view all the answers

Does the ninth graph show a function?

<p>True (A)</p> Signup and view all the answers

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Study Notes

Domain and Range Concepts

  • Domain refers to the set of possible input values (x-values) for a function.
  • Range refers to the set of possible output values (y-values) for a function.
  • A function is defined as a relationship where each input is linked to exactly one output.

Card Summaries

  • Card 1

    • Domain: [-6, 6]
    • Range: [0, 6]
    • Classification: Function (pass test of uniqueness)
  • Card 2

    • Domain: [-7, 5)
    • Range: [-3, 1)
    • Classification: Function (valid mapping from inputs to outputs)
  • Card 3

    • Domain: x = -5 (single input)
    • Range: -2 < y < 6 (multiple outputs for a single input)
    • Classification: Not a function (fails uniqueness criteria)
  • Card 4

    • Domain: [-4, 4]
    • Range: [-4, 4]
    • Classification: Not a function (multiple outputs for some inputs)
  • Card 5

    • Domain: [0, Infinity) (all non-negative inputs)
    • Range: (-Infinity, Infinity) (outputs could be any real number)
    • Classification: Not a function (fails uniqueness)
  • Card 6

    • Domain: x > 0 (only positive inputs)
    • Range: y = 4 (single output for all inputs)
    • Classification: Function (consistent mapping)
  • Card 7

    • Domain: (-3, 5]
    • Range: [-1] (only one output)
    • Classification: Function (each input gives one output)
  • Card 8

    • Domain: [-4, 2]
    • Range: [-2, 4]
    • Classification: Function (valid relationship)
  • Card 9

    • Domain: (-3, 4)
    • Range: [0, 5)
    • Classification: Function (unique outputs for each input)

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