This math topic focuses on determining the domain of functions containing quadratic expressions under a square root, specifically those that potentially have complex roots due to negative discriminants. The problems require identifying the correct number line representation that depicts the domain of various quadratic root functions. The exercises belong to an introductory level of understanding domains and ranges, particularly emphasizing how the presence of complex roots affects the domain of square root functions. The goal is to help students visualize and interpret these concepts on number lines.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

more
View

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

Mobius Math Academy logo
Function Domain - Simple Root of Quadratic (Complex Roots) to Number Line
1
What number line shows the domain of this function?
A LaTex expression showing f(x) = square root of -2x to the power of 2 +3x-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
2
What number line shows the domain of this function?
A LaTex expression showing f(x) = square root of 5x to the power of 2 -10x+23
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 +4x-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
4
What number line shows the domain of this function?
A LaTex expression showing f(x) = square root of 5x to the power of 2 +1x+2
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 5x to the power of 2 -1x+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 3x to the power of 2 +6x+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
7
What number line shows the domain of this function?
A LaTex expression showing f(x) = square root of -2x to the power of 2 +3x-2
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 5x 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