This math topic involves converting the representation of domain and range from interval notation to inequalities. The problems focus on understanding both boundaries of intervals such as open, closed, and infinite limits. Specifically, the students are asked to identify the correct inequality that describes either the domain or range for given intervals. Examples include specifics such as translating closed intervals (like [a, b]) or half-open intervals that extend to infinity (like (-∞, a]) into inequalities like "X ≤ a" or "a ≤ Y ≤ b".

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

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Math worksheet on 'Function Domain/Range Definition - Interval to Inequality (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, 0)
What inequality describes the domain of this interval?
a A LaTex expression showing X < 0
b A LaTex expression showing X \le 0
2
A LaTex expression showing [-3, 8]
What inequality describes the range of this interval?
a A LaTex expression showing -3 \le Y \le 8
b A LaTex expression showing -3 \le Y < 8
3
A LaTex expression showing ( -\infty, 1]
What inequality describes the domain of this interval?
a A LaTex expression showing X \le 1
b A LaTex expression showing -\infty < X < \infty
4
A LaTex expression showing ( -\infty, 5]
What inequality describes the domain of this interval?
a A LaTex expression showing -\infty < X < \infty
b A LaTex expression showing X \le 5
5
A LaTex expression showing ( -\infty, 7]
What inequality describes the domain of this interval?
a A LaTex expression showing X \le 7
b A LaTex expression showing 4 < X < 7
6
A LaTex expression showing [-5, 1]
What inequality describes the range of this interval?
a A LaTex expression showing -5 \le Y \le 1
b A LaTex expression showing -5 \le Y < 1
7
A LaTex expression showing ( -\infty, 2)
What inequality describes the domain of this interval?
a A LaTex expression showing X < 2
b A LaTex expression showing -9 < X < 2
Function Domain/Range Definition - Interval to Inequality (Without Union) (Level 1) - Mobius Math Academy