This topic focuses on translating set builder notation expressions into interval notation for representing domains and ranges of functions. The problems are practical exercises to understand and identify correct interval expressions without using union operations. Specifically, each problem presents a set builder condition for a domain or range (e.g., \( \{Y \in \mathbb{R} \mid -3 \le Y\} \)) and requires selecting the correct interval representation (e.g., \([-3, \infty)\)). This exercise enhances understanding in interpreting mathematical expressions related to function's domain and range.

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

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Function Domain/Range Definition - Set Builder to Interval (Without Union)
1
What interval describes this range?
A LaTex expression showing \{Y \in \mathbb{{R}} \vert -5 < Y\}
a A LaTex expression showing (-5, \infty)
b A LaTex expression showing [-5, \infty)
2
What interval describes this range?
A LaTex expression showing \{Y \in \mathbb{{R}} \vert -9 \le Y \le 7\}
a A LaTex expression showing ( -\infty, 7)
b A LaTex expression showing [-9, 7]
3
What interval describes this domain?
A LaTex expression showing \{X \in \mathbb{{R}} \vert -10 \le X \le 5\}
a A LaTex expression showing [-10, 5]
b A LaTex expression showing (-10, 5]
4
What interval describes this domain?
A LaTex expression showing \{X \in \mathbb{{R}} \vert -3 < X < 9\}
a A LaTex expression showing (-3, 9)
b A LaTex expression showing [-3, 9)
5
What interval describes this domain?
A LaTex expression showing \{X \in \mathbb{{R}} \vert 4 \le X < 8\}
a A LaTex expression showing [4, 8)
b A LaTex expression showing (4, 8]
6
What interval describes this range?
A LaTex expression showing \{Y \in \mathbb{{R}} \vert -10 < Y < -6\}
a A LaTex expression showing (-10, -6]
b A LaTex expression showing (-10, -6)
7
What interval describes this range?
A LaTex expression showing \{Y \in \mathbb{{R}} \vert -3 \le Y\}
a A LaTex expression showing [-3, \infty)
b A LaTex expression showing (-3, \infty)
8
A LaTex expression showing \{X \in \mathbb{{R}} \vert \}
What interval describes this domain?
a A LaTex expression showing ( -\infty, \infty)
b A LaTex expression showing ( -\infty, 3]