This math topic focuses on determining the domain of functions that involve the square root of a linear expression in the numerator and the square root of a quadratic expression in the denominator. Specifically, learners are tasked with mapping the real roots of these expressions on a number line. Each problem presents a different function, and students must choose the correct number line representation of the domain for each function.

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Function Domain - Fraction Root of Linear over Root of Quadratic (Real Roots) to Number Line Worksheet

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Function Domain - Fraction Root of Linear over Root of Quadratic (Real Roots) to Number Line
1
What number line shows the domain of this function?
A LaTex expression showing f(x) = \frac{square root of -1x+2}{square root of -1x to the power of 2 -8x-7}
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) = \frac{square root of 1x-5}{square root of -1x to the power of 2 -9x-8}
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) = \frac{square root of -1x+3}{square root of -1x to the power of 2 +2x-0}
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) = \frac{square root of -1x-5}{square root of -4x to the power of 2 -8x+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) = \frac{square root of 1x+3}{square root of -4x to the power of 2 -0x+16}
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) = \frac{square root of -1x-5}{square root of 1x to the power of 2 -7x-8}
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) = \frac{square root of -1x-4}{square root of 4x to the power of 2 -4x-0}
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) = \frac{square root of -1x-1}{square root of 1x to the power of 2 +2x-0}
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem