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Mathematics

11th

grade

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Domain and Range of Rational Functions

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Rommel Borillo

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10 questions

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  • 1. Multiple Choice
    20 seconds
    1 pt

    In finding the domain of the rational function

     r(x)=p(x)q(x)r\left(x\right)=\frac{p\left(x\right)}{q\left(x\right)}  where p(x) and q(x) are polynomial functions, all real numbers are allowed for x except . . .
    (Check all that applies.)

    The ones that would make the numerator zero. p(x)=0p\left(x\right)=0  

    The ones that would make the denominator zero.  q(x)=0q\left(x\right)=0  

    The ones that would make the function zero. r(x)=0r\left(x\right)=0  

    The ones that would make the function undefined.

  • 2. Multiple Choice
    20 seconds
    1 pt

    What process do we have to do first in order to obtain the range of a rational function without the aid of its graph?

    (Check all that applies.)

    Find the reciprocal of the function.

    Find the inverse of the function.

    Find the function x in terms of y.

    Find the solution of the function.

  • 3. Multiple Choice
    10 seconds
    1 pt

    What is the domain of 

     y=1xy=\frac{1}{x}  ?

     x≠−1x\ne-1  

     x≠0x\ne0  

     x≠1x\ne1  

     x≠yx\ne y  

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