Graphing Radical Functions Flashcards
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Questions and Answers

What is the domain of the function $y=2[x-6$?

d

What is the domain of the function $y=3[x$?

a

Which of the following is the graph of $y=-4[x$?

  • Graph D down in IV (correct)
  • Graph A
  • Graph C
  • Graph B
  • What is the range of the function $y=3[x+8$?

    <p>a</p> Signup and view all the answers

    What is the domain of the function $y=3[x-1$?

    <p>a</p> Signup and view all the answers

    What is the range of the function $y=[x+5$?

    <p>b</p> Signup and view all the answers

    Which statement best describes $f(x)=-2[x-7+1$?

    <p>-6 is not in the domain of f(x) but is in the range of f(x).</p> Signup and view all the answers

    Which function has the same domain as $y=2[x$?

    <p>a</p> Signup and view all the answers

    Which function has the same range as $f(x)=-2[x-3+8$?

    <p>c</p> Signup and view all the answers

    How does the graph of $y=[x+2$ compare to the graph of the parent square root function?

    <p>c</p> Signup and view all the answers

    Study Notes

    Graphing Radical Functions Study Notes

    • Domain of y=2√[x-6: x must be greater than or equal to 6.
    • Domain of y=3√[x: x must be greater than or equal to 0.
    • Graph of y=-4√[x: Represents a downward-opening graph located in the fourth quadrant.
    • Range of y=3√[x+8: All real numbers starting from 3, extending to positive infinity.
    • Domain of y=3√[x-1: x must be greater than or equal to 1.
    • Range of y=√[x+5: Starts from √5 and extends to positive infinity.
    • Description of f(x)=-2√[x-7]+1: -6 is excluded from the domain but included in the range.
    • Function with the same domain as y=2√[x: Must have x greater than or equal to 0.
    • Function with the same range as f(x)=-2√[x-3]+8: Must yield values starting from 8 extending to negative infinity.
    • Comparison of y=√[x+2 to parent square root function: Represents a vertical shift of 2 units upwards from the parent function.

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    Description

    Test your knowledge with these flashcards on graphing radical functions. Each card presents a question about domains, ranges, and graph characteristics of various radical functions. Perfect for students looking to reinforce their understanding of this important mathematical concept.

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