This math topic focuses on defining the domain and range of functions using inequalities from given intervals, which includes union sets. Students are required to translate intervals represented graphically or numerically into the equivalent inequality form. These problems enhance understanding of set notation, intervals, inequalities, and union operations within the context of mathematical functions' domains and ranges.

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Function Domain/Range Definition - Interval to Inequality (With Union) Worksheet

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Math worksheet on 'Function Domain/Range Definition - Interval to Inequality (With Union) (Level 1)'. Part of a broader unit on 'Functions - Domain and Range - Practice' Learn online: app.mobius.academy/math/units/functions_domain_range_concept_practice/
1
What inequality describes the range of this interval?
A LaTex expression showing (-7, 3)\cup(7, \infty)
a A LaTex expression showing -7 < Y < 3\text{{ or }}7 < Y
b A LaTex expression showing -7 < Y \le 3\text{{ or }}7 \le Y
2
What inequality describes the range of this interval?
A LaTex expression showing ( -\infty, 4]\cup[6, 15)
a A LaTex expression showing Y < 4\text{{ or }}6 \le Y \le 15
b A LaTex expression showing Y \le 4\text{{ or }}6 \le Y < 15
3
What inequality describes the range of this interval?
A LaTex expression showing ( -\infty, 6)\cup(7, \infty)
a A LaTex expression showing Y < 6\text{{ or }}7 < Y
b A LaTex expression showing -5 \le Y < 6\text{{ or }}7 \le Y
4
What inequality describes the range of this interval?
A LaTex expression showing (-9, 1]\cup(2, 7]
a A LaTex expression showing -9 < Y \le 1\text{{ or }}2 < Y \le 7
b A LaTex expression showing Y < 1\text{{ or }}2 \le Y
5
What inequality describes the range of this interval?
A LaTex expression showing (-3, 2]\cup(6, 11]
a A LaTex expression showing -3 < Y \le 2\text{{ or }}6 < Y \le 11
b A LaTex expression showing -3 < Y \le 2\text{{ or }}6 \le Y \le 11
6
What inequality describes the range of this interval?
A LaTex expression showing ( -\infty, 3)\cup(3, 11]
a A LaTex expression showing Y < 3\text{{ or }}3 < Y \le 11
b A LaTex expression showing Y < 3\text{{ or }}3 \le Y
7
What inequality describes the range of this interval?
A LaTex expression showing (-10, 1]\cup[2, 11]
a A LaTex expression showing -10 \le Y < 1\text{{ or }}2 \le Y
b A LaTex expression showing -10 < Y \le 1\text{{ or }}2 \le Y \le 11
Function Domain/Range Definition - Interval to Inequality (With Union) (Level 1) - Mobius Math Academy