Graphing Rational Functions And Reciprocal Functions Quiz

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  • 1/10 Questions

    A vertical asymptote shows a value at which a rational function is undefined. Thus, the value is not in the domain of the function.

    • True
    • False
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About This Quiz

Do you think you know and understand graphing rational functions and reciprocal functions? If yes, then take this quiz. The quiz is going to be a bit difficult if you are not good with the concept or if your math is weak. However, for your practice and a better understanding of graphing rational functions and reciprocal functions, this quiz is going to be very useful. So, give this quiz a try and score as much as you can. Wish you good luck!

Graphing Rational Functions And Reciprocal Functions Quiz - Quiz

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  • 2. 

    A reciprocal function will never have values in its domain that result in the denominator being equal to zero.

    • True

    • False

    Correct Answer
    A. True
    Explanation
    A reciprocal function is defined as a function where the output is the reciprocal of the input. The reciprocal of a number is obtained by dividing 1 by that number. In a reciprocal function, the denominator of the fraction will always be the input value. Since division by zero is undefined, the denominator cannot be equal to zero. Therefore, a reciprocal function will never have values in its domain that result in the denominator being equal to zero. Hence, the statement is true.

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  • 3. 

    A reciprocal function is also known as a slope function.

    • True

    • False

    Correct Answer
    A. False
    Explanation
    A reciprocal function is not known as a slope function. A reciprocal function is a function that maps a non-zero number to its reciprocal, which is one divided by the number. On the other hand, a slope function refers to the rate of change of a function with respect to its input variable. These two concepts are distinct and not interchangeable. Therefore, the statement is False.

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  • 4. 

    An asymptote is an imaginary line that your function always touches.

    • True

    • False

    Correct Answer
    A. False
    Explanation
    An asymptote is not an imaginary line that a function always touches. In fact, an asymptote is a line that a function approaches but never quite reaches. It can be horizontal, vertical, or oblique, and it represents a limit or boundary for the function. Therefore, the correct answer is False.

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  • 5. 
    The graph is of which rational equation? - ProProfs

    The graph is of which rational equation?

    • Y = 1/x+2 - 4

    • Y = 1/x+3 - 3

    • Y = 3/x+2 - 3

    • Y = 1/x+2 - 3

    Correct Answer
    A. Y = 1/x+2 - 3
    Explanation
    The given equation is in the form y = 1/x+2 - 3. This equation represents a rational function. The graph of this equation is a hyperbola that is shifted 2 units to the left and 3 units down from the standard reciprocal function y = 1/x. The -3 at the end of the equation represents the vertical shift downward by 3 units. Therefore, the correct answer is y = 1/x+2 - 3.

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  • 6. 

    Find the Vertical Asymptotes of y= (x+5)/(x-6).

    • X = 6

    • X = -6

    • X = -9

    • X = -5

    Correct Answer
    A. X = 6
    Explanation
    The vertical asymptote of a rational function occurs at values of x where the denominator is equal to zero. In this case, the denominator is x-6. Setting x-6 equal to zero and solving for x gives x=6. Therefore, the vertical asymptote of the function y=(x+5)/(x-6) is x=6.

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  • 7. 

    Find the horizontal asymptote of f(x)=-2x/x+1.

    • Y= 2

    • Y= -2

    • Y = 2 + 2

    • Y = 2 - 1

    Correct Answer
    A. Y= -2
    Explanation
    The horizontal asymptote of a function represents the value that the function approaches as x approaches positive or negative infinity. In this case, the function f(x) = -2x/(x+1) has a horizontal asymptote at y = -2. This means that as x gets larger and larger or smaller and smaller, the function approaches a value of -2.

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  • 8. 
    Which of these does not apply to this function? - ProProfs

    Which of these does not apply to this function?

    • Horizontal shift

    • Vertical shift

    • Vertical stretch

    • Both A & B

    Correct Answer
    A. Horizontal shift
    Explanation
    The given function does not have a horizontal shift. A horizontal shift refers to a transformation that moves the graph of a function horizontally left or right. Since the function does not have this type of shift, it does not apply to the given function.

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  • 9. 
    The graph is of which of these rational equations? - ProProfs

    The graph is of which of these rational equations?

    • Y = 2/x+2 - 3

    • Y = 6/x+2 - 3

    • Y = 3/x+9 - 3

    • None of these

    Correct Answer
    A. None of these
  • 10. 

    X = 0 is the X-Intercept of ___________.

    • Y= 2x/(x-8)

    • Y= 4x/(x-5)

    • Y= 4x/(x+5)

    • Y= 2x/(x-9)

    Correct Answer
    A. Y= 4x/(x-5)
    Explanation
    The x-intercept of an equation represents the point where the graph crosses the x-axis, having a y-coordinate of zero. For the equation Y= 4x/x-5, when x is set to zero, it results in a y-coordinate of zero, making x = 0 the x-intercept of this equation.

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  • Current Version
  • Dec 26, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 08, 2022
    Quiz Created by
    Keith Foster
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