Honors Algebra 2: Assignment 13 - Worksheet on Relations
Class: Honors Algebra 2
Author: Peter Atlas
Text:
Algebra and Trigonometry: Structure and Method
, Brown
Find the domain and range:
Solution
Domain: \( \{ x \in \Re \mid x \geq -2 \} \text{; Range: } \{ y \in \Re \} \)
Given the relation \( y = f(x) \) pictured below,
Find the domain and range.
Solution
Domain: \( x \in \{ -5, -3, -1, 1, 3, 7 \} \text{; Range: }y \in \{ -7, -1, 0, 1, 3, 4 \} \)
Evaluate \( f \left( f(-5) \right) \).
Solution
4
Evaluate evaluate \( f \left( f(3) \right) \).
Solution
Undefined
Given the relation \(y = g(x)\) pictured below
Find the domain and range.
Solution
Domain: \( \{ x \in \Re \} \); Range: \( \{y \in \Re \mid y \leq 6 \} \)
Evaluate \( g \left( g(0) \right) \).
Solution
0
Find the domain and range:
Solution
Domain: \( \{ x \in \Re \mid -6 \leq x \leq 3 \} \); Range: \( \{ y \in \Re \mid 0 \leq y \leq 8 \} \)
Find the domain and range:
Solution
Domain: \( \{ x \in\Re \mid x \geq -7 \} \); Range: \( \{ y \in \Re \mid y \leq 8 \} \)
Find the domain and range:
Solution
Domain: \( \{ x \in \Re \mid x \neq 2 \} \); Range: \({y \in \Re \mid y \neq 7}\)
Given \(y = p(x) \) as in the figure below
Find \( p(3)\)
Solution
2
Find \( p(-8) \)
Solution
-3
Find \(p(2)\)
Solution
-2
For what value(s) of \(x\) is \(p(x) = 0\)?
Solution
-5 and \( \displaystyle \frac{13}{5}\)
Given \(y = q(x)\) as in the figure below
Find \(q(-2)\)
Solution
2
Find \(q(7)\)
Solution
4
For what values of \(\)x is \(q(x) = 5\)?
Solution
-5, -3, and 5
Given \(p(x)\) and \(q(x)\) as in the two previous problems, evaluate \( p \left( q(-1) \right) .\)
Solution
\(\displaystyle -\frac{8}{3}\)