This math topic focuses on converting inequality expressions of domains and ranges of functions into interval notation, particularly when dealing with expressions that do not involve unions. Students are given a series of inequality expressions and asked to select the correct interval notation for each from multiple choices. The expressions involve different types of inequalities, including strict inequalities, non-strict inequalities, inequalities with infinite boundaries, and compound inequalities involving variables typically denoted as X or Y. This topic is designed to enhance students' understanding of how domains and ranges are defined within the context of basic function theory.

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Function Domain/Range Definition - Inequality to Interval (Without Union) Worksheet

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Math worksheet on 'Function Domain/Range Definition - Inequality to Interval (Without Union) (Level 1)'. Part of a broader unit on 'Functions - Domain and Range - Intro' Learn online: app.mobius.academy/math/units/functions_domain_range_concept_intro/
1
A LaTex expression showing -\infty < X < \infty
What interval describes this domain?
a A LaTex expression showing ( -\infty, \infty)
b A LaTex expression showing (2, \infty)
2
A LaTex expression showing 1 \le X
What interval describes this domain?
a A LaTex expression showing [1, 8)
b A LaTex expression showing [1, \infty)
3
A LaTex expression showing 4 < Y
What interval describes this range?
a A LaTex expression showing [4, \infty)
b A LaTex expression showing (4, \infty)
4
A LaTex expression showing -8 \le X
What interval describes this domain?
a A LaTex expression showing (-8, \infty)
b A LaTex expression showing [-8, \infty)
5
A LaTex expression showing -1 < Y \le 5
What interval describes this range?
a A LaTex expression showing ( -\infty, 5)
b A LaTex expression showing (-1, 5]
6
A LaTex expression showing Y < 3
What interval describes this range?
a A LaTex expression showing ( -\infty, \infty)
b A LaTex expression showing ( -\infty, 3)
7
A LaTex expression showing -4 \le Y
What interval describes this range?
a A LaTex expression showing ( -\infty, \infty)
b A LaTex expression showing [-4, \infty)