This math topic focuses on determining the domain of functions expressed as the ratio of a linear function to a quadratic function. It specifically deals with scenarios where the quadratic has complex roots. Students are required to choose which number line accurately represents the domain of these functions, enhancing their skills in understanding function behavior and identifying valid input values that do not lead to undefined expressions (such as division by zero in the case of these rational functions). Each question presents a function and multiple number line options as possible domains.

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Function Domain - Fraction Linear over Quadratic (Complex Roots) to Number Line Worksheet

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Function Domain - Fraction Linear over Quadratic (Complex Roots) to Number Line
1
What number line shows the domain of this function?
A LaTex expression showing f(x) = 1x-5 over -5x to the power of 2 +4x-19
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
2
What number line shows the domain of this function?
A LaTex expression showing f(x) = -1x-2 over 3x to the power of 2 -5x+3
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
3
What number line shows the domain of this function?
A LaTex expression showing f(x) = 1x-4 over 3x to the power of 2 -8x+22
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
4
What number line shows the domain of this function?
A LaTex expression showing f(x) = -1x-3 over 2x to the power of 2 +1x+12
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
5
What number line shows the domain of this function?
A LaTex expression showing f(x) = -1x+5 over -4x to the power of 2 +2x-21
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
6
What number line shows the domain of this function?
A LaTex expression showing f(x) = -1x+3 over 5x to the power of 2 +1x+24
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
7
What number line shows the domain of this function?
A LaTex expression showing f(x) = -1x+3 over -5x to the power of 2 +3x-25
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
8
What number line shows the domain of this function?
A LaTex expression showing f(x) = 1x+5 over -3x to the power of 2 +7x-18
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem