This math topic focuses on finding the domain of functions that involve a fraction with an integer numerator and a quadratic expression under a square root in the denominator. It specifically addresses functions where the quadratic has real roots, and the goal is to represent the domain on a number line. Through multiple questions, learners practice determining which number line correctly represents the domain of given fractional functions with radical denominators derived from quadratic expressions. The emphasis is on understanding how the domain is affected by the requirement that the expression under the square root is non-negative to maintain real roots.

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

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Function Domain - Fraction Integer 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) = -2 over 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
2
What number line shows the domain of this function?
A LaTex expression showing f(x) = 1 over square root of 1x to the power of 2 +6x-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
3
What number line shows the domain of this function?
A LaTex expression showing f(x) = -1 over square root of 2x to the power of 2 -8x-10
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) = -5 over square root of 4x to the power of 2 +4x-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
5
What number line shows the domain of this function?
A LaTex expression showing f(x) = -2 over square root of -1x to the power of 2 -3x+10
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) = -3 over square root of 3x to the power of 2 -3x-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
7
What number line shows the domain of this function?
A LaTex expression showing f(x) = -4 over 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
8
What number line shows the domain of this function?
A LaTex expression showing f(x) = -2 over 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