This math topic involves identifying function domains for various polynomial functions of higher degrees (mostly cubics), specifically by choosing the correct number line representation of each domain. The problems display functions expressed algebraically, and learners must select the correct number line image that accurately reflects the set of all possible x-values (domain) for the given function. Each question provides two potential number line images from which the correct one must be chosen, emphasizing foundational understanding in function behavior and how it translates to graphical interpretations on a number line.

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Function Domain - Simple Higher Power to Number Line Worksheet

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Math worksheet on 'Function Domain - Simple Higher Power to Number Line (Level 1)'. Part of a broader unit on 'Functions - Domain and Range Solving - Practice' Learn online: app.mobius.academy/math/units/functions_domain_range_solving_practice/
1
What number line shows the domain of this function?
A LaTex expression showing f(x) = -2x to the power of 3 -2x to the power of 2 -9
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) = -4x to the power of 3 +3x to the power of 2 -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
3
What number line shows the domain of this function?
A LaTex expression showing f(x) = 3x to the power of 3 -10x to the power of 2 -17
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) = 2x to the power of 3 +2x to the power of 2 +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
5
What number line shows the domain of this function?
A LaTex expression showing f(x) = 4x to the power of 3 +1x to the power of 2 +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
6
What number line shows the domain of this function?
A LaTex expression showing f(x) = 1x to the power of 3 +2x to the power of 2 -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
7
What number line shows the domain of this function?
A LaTex expression showing f(x) = -3x to the power of 3 -2x to the power of 2 +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