Honors Algebra 2: Extra Practice on Functions
Class: Honors Algebra 2
Author: Peter Atlas
Text:
Algebra and Trigonometry: Structure and Method
, Brown
Given the relation {(3, 6), (8, -8), (3, 8), (6, 1)}
Is the relation a function?
Solution
No
What is the domain of the relation?
Solution
{3, 8, 6}
What is the range of the relation?
Solution
{6, -8, 8, 1}
Given the relation described in the figure below
Is the relation a function?
Solution
Yes
What is the domain of the relation?
Solution
{5, 2, 1}
What is the range of the relation?
Solution
{3, 6}
Given the relation \( y = 3x - 4 \)
Is the relation a function?
Solution
Yes
What is the domain of the relation?
Solution
\( \{ x \in \Re \} \)
What is the range of the relation?
Solution
\( \{ y \in \Re \} \)
Given the relation \( y = -1 \)
Is the relation a function?
Solution
Yes
What is the domain of the relation?
Solution
\( \{ x \in \Re \} \)
What is the range of the relation?
Solution
\( \{ y = -1 \} \)
Given the relation \( x = 8 \)
Is the relation a function?
Solution
No
What is the domain of the relation?
Solution
\( \{ x = 8 \} \)
What is the range of the relation?
Solution
\( \{ y \in \Re \} \)
Given the relation defined in the figure below
Is the relation a function?
Solution
No
What is the domain of the relation?
Solution
{-2, -1.25, -0.5, 0, 1, 1.25, 1.75, 2.75}
What is the range of the relation?
Solution
{-1, -0.5, -0.25, 0, 0.25, 0.5, 0.75}
Given the relation defined in the figure below
Is the relation a function?
Solution
Yes
What is the domain of the relation?
Solution
\( \{ x \in \Re \} \)
What is the range of the relation?
Solution
\( \{ y \in \Re \mid y \geq -2 \} \)
Given the relation defined in the figure below
Is the relation a function?
Solution
No
What is the domain of the relation?
Solution
\( \{ x \in \Re \mid 2 \leq x \leq 10 \} \)
What is the range of the relation?
Solution
\( \{ y \in \Re \mid -6 \leq y \leq 2 \} \)
Given the relation defined in the figure below
Is the relation a function?
Solution
No
What is the domain of the relation?
Solution
\( \{ x \in \Re \} \)
What is the range of the relation?
Solution
\( \{ y \in \Re \mid y \geq -1 \} \)