This math topic focuses on determining the domain of polynomial functions with higher powers. Each question involves identifying the correct set that describes the domain of a given polynomial function. The functions presented are cubic polynomials, and students are required to select from multiple-choice options that specify different types of real number constraints. The overall goal is to strengthen the understanding of polynomial function behavior and their domains in real number contexts.

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Function Domain - Simple Higher Power to Domain Definition Worksheet

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Math worksheet on 'Function Domain - Simple Higher Power to Domain Definition (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 set describes the domain of this function?
A LaTex expression showing f(x) = -5x to the power of 3 -6x to the power of 2 -5
a A LaTex expression showing \{ \}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
2
What set describes the domain of this function?
A LaTex expression showing f(x) = -4x to the power of 3 -7x to the power of 2 +3
a A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert -6 \le X\}
3
What set describes the domain of this function?
A LaTex expression showing f(x) = -5x to the power of 3 -0x to the power of 2 +20
a A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
b A LaTex expression showing \{ \}
4
What set describes the domain of this function?
A LaTex expression showing f(x) = -5x to the power of 3 +6x to the power of 2 -19
a A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
b A LaTex expression showing \{ \}
5
What set describes the domain of this function?
A LaTex expression showing f(x) = -2x to the power of 3 -1x to the power of 2 -2
a A LaTex expression showing \{X \in \mathbb{{R}} \vert 2 < X < 5\}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
6
What set describes the domain of this function?
A LaTex expression showing f(x) = 4x to the power of 3 +2x to the power of 2 +8
a A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert 0 \le X\}
7
What set describes the domain of this function?
A LaTex expression showing f(x) = 3x to the power of 3 -10x to the power of 2 -20
a A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
b A LaTex expression showing \{X \in \mathbb{{R}} \vert X < 4\}