Endpoints

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dots

We use square brackets and parentheses for both written algebaic notation and graphical notation.

We have a very popular alternative for the graphical notation.

solid or closed dots are often used in place of square brackets to show a number is included in an interval.
hollow or open dots are often used in place of square brackets to show a number is not included in an interval.

\[ A = [-4, -2] \cup \{ 2 \} \cup (3, 6] \]

Select all valid statements.

$A$ is bounded from below $A$ is bounded from above $A$ is bounded $A$ is unbounded from below $A$ is unbounded from above $A$ is unbounded

\[ B = (-\infty , -1] \cup (4, 8) \]

Select all valid statements.

$B$ is bounded from below $B$ is bounded from above $B$ is bounded $B$ is unbounded from below $B$ is unbounded from above $B$ is unbounded

\[ C = (-7, -4] \cup \{ -1, 1 \} \cup (3, \infty ) \]

Select all valid statements.

$C$ is bounded from below $C$ is bounded from above $C$ is bounded $C$ is unbounded from below $C$ is unbounded from above $C$ is unbounded

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more examples can be found by following this link
More Examples of Real-Valued Functions

2025-01-07 02:49:01