Function Domain/Range Definition - Words to Set Builder (Without Union) (Level 1) - Mobius Math Academy

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

Level 1

This math topic focuses on converting verbal descriptions of mathematical domains and ranges into set builder notation. The problems require identifying the appropriate set builder notation for given conditions, such as "All integers greater than or equal to -1" or "All real numbers." The worksheet addresses various kinds of numerical sets including integers, real numbers, and conditions bounding these sets from above, below, or both. Each question presents two different notational answers for the domain or range described, from which the correct one must be chosen.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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

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

All real numbers greater than or equal to -3 and less than or equal to 1

What set describes this range?

a $A LaTex expression showing \{Y \in \mathbb{{R}} \vert -3 \le Y < 1\}$

b $A LaTex expression showing \{Y \in \mathbb{{R}} \vert -3 \le Y \le 1\}$

What set describes this range?

All integers greater than -6

a $A LaTex expression showing \{Y \in \mathbb{{Z}} \vert \}$

b $A LaTex expression showing \{Y \in \mathbb{{Z}} \vert -6 < Y\}$

What set describes this range?

All real numbers

a $A LaTex expression showing \{Y \in \mathbb{{R}} \vert Y \le 6\}$

b $A LaTex expression showing \{Y \in \mathbb{{R}} \vert \}$

What set describes this range?

All real numbers less than 9

a $A LaTex expression showing \{Y \in \mathbb{{R}} \vert Y < 9\}$

b $A LaTex expression showing \{Y \in \mathbb{{R}} \vert Y \le 9\}$

What set describes this range?

All integers greater than or equal to 0 and less than 8

a $A LaTex expression showing \{Y \in \mathbb{{Z}} \vert 0 \le Y < 8\}$

b $A LaTex expression showing \{Y \in \mathbb{{Z}} \vert 0 < Y < 8\}$

What set describes this domain?

All real numbers greater than or equal to -7

a $A LaTex expression showing \{X \in \mathbb{{R}} \vert \}$

b $A LaTex expression showing \{X \in \mathbb{{R}} \vert -7 \le X\}$

What set describes this domain?

All real numbers greater than -7 and less than 1

a $A LaTex expression showing \{X \in \mathbb{{R}} \vert -7 < X < 1\}$

b $A LaTex expression showing \{X \in \mathbb{{R}} \vert -7 \le X \le 1\}$

What set describes this domain?

All integers less than or equal to 6

a $A LaTex expression showing \{X \in \mathbb{{Z}} \vert X \le 6\}$

b $A LaTex expression showing \{X \in \mathbb{{Z}} \vert X < 6\}$