Function, Domain And Range, Vertical Line Test

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| By TAG614
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TAG614
Community Contributor
Quizzes Created: 2 | Total Attempts: 2,211
Questions: 8 | Attempts: 891

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Function, Domain And Range, Vertical Line Test - Quiz

First quiz


Questions and Answers
  • 1. 

    Is the relationship a function?

    • A.

      Yes

    • B.

      No

    Correct Answer
    A. Yes
    Explanation
    The relationship is a function because for every input, there is only one corresponding output.

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  • 2. 

    Which does NOT represent a function from A to B?

    • A.

      {(0,1),(1,-2),(2,0),(3,0)}

    • B.

      {(0,-1),(1,-2),(2,2),(3,0),(1,1)}

    • C.

      {(0,0),(1,0),(2,0),(3,0)}

    Correct Answer
    B. {(0,-1),(1,-2),(2,2),(3,0),(1,1)}
  • 3. 

    Is this a function?

    • A.

      Yes

    • B.

      No

    Correct Answer
    B. No
    Explanation
    The given question asks if something is a function. The answer provided is "No". This means that the thing in question is not a function.

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  • 4. 

    Which graph represents a function?

    • A.

      Graph 1

    • B.

      Graph 2

    Correct Answer
    B. Graph 2
    Explanation
    A graph represents a function if each input value (x-coordinate) corresponds to exactly one output value (y-coordinate). In Graph 2, for every x-value, there is only one y-value associated with it, satisfying the definition of a function. However, in Graph 1, for some x-values, there are multiple y-values, which violates the definition of a function. Therefore, Graph 2 represents a function while Graph 1 does not.

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  • 5. 

    F(x) = 2x+5Evaluate f(3).

    • A.

      10

    • B.

      11

    • C.

      12

    Correct Answer
    B. 11
    Explanation
    To evaluate f(3), we substitute 3 into the equation f(x) = 2x + 5. This gives us f(3) = 2(3) + 5 = 6 + 5 = 11. Therefore, the correct answer is 11.

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  • 6. 

    F(x) = 4x^2Evaluate f(5).

    • A.

      100

    • B.

      400

    • C.

      81

    Correct Answer
    A. 100
    Explanation
    To evaluate f(5), we substitute 5 into the function f(x) = 4x^2. Therefore, f(5) = 4(5)^2 = 4(25) = 100.

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  • 7. 

    F(x) = x^3-xEvaluate f(4).

    • A.

      48

    • B.

      60

    • C.

      40

    Correct Answer
    B. 60
    Explanation
    To find the value of f(4), we substitute 4 into the function f(x) = x^3 - x. Therefore, f(4) = 4^3 - 4 = 64 - 4 = 60.

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  • 8. 

    F(x) = x^2 – 5x + 4Evaluate f(8).

    • A.

      20

    • B.

      24

    • C.

      28

    Correct Answer
    C. 28
    Explanation
    To evaluate f(8), we substitute x=8 into the given function f(x). So, f(8) = 8^2 - 5(8) + 4 = 64 - 40 + 4 = 28. Therefore, the correct answer is 28.

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  • Current Version
  • Mar 22, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Jan 26, 2011
    Quiz Created by
    TAG614
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