This math topic focuses on finding the domain of functions involving the square root of quadratic expressions. Each problem requires analyzing a square root function to determine its real roots and identifying which number line representation correctly shows the domain of the given function. The quadratic expressions inside the square roots vary across the problems, necessitating different considerations for where the functions are defined based on ensuring non-negative values under the square root.

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Function Domain - Simple Root of Quadratic (Real Roots) to Number Line Worksheet

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Function Domain - Simple Root of Quadratic (Real Roots) to Number Line
1
What number line shows the domain of this function?
A LaTex expression showing f(x) = square root of 1x to the power of 2 -0x-1
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) = square root of 4x to the power of 2 +8x-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
3
What number line shows the domain of this function?
A LaTex expression showing f(x) = 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
4
What number line shows the domain of this function?
A LaTex expression showing f(x) = square root of 1x to the power of 2 +4x-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
5
What number line shows the domain of this function?
A LaTex expression showing f(x) = 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
6
What number line shows the domain of this function?
A LaTex expression showing f(x) = square root of -1x to the power of 2 -2x+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) = square root of 4x to the power of 2 -8x-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) = square root of 1x to the power of 2 +5x+6
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem