Q1. - Algebra 1

Question

Express each relation as a table, a graph, and a mapping. Then determine the domain and range.

$\mathbf{\left\{}\mathbf{\right(}\mathbf{4}\mathbf{,}\mathbf{3}\mathbf{)}\mathbf{,}\mathbf{(}\mathbf{-}\mathbf{2}\mathbf{,}\mathbf{2}\mathbf{)}\mathbf{,}\mathbf{(}\mathbf{5}\mathbf{,}\mathbf{-}\mathbf{6}\mathbf{\left)}\mathbf{\right\}}$

Step-by-Step Solution

Answer

Domain = $\{-2,4,5\}$

Range = $\{2,3,-6\}$

Step 1. Given.

Relation $\left\{\right(4,3),(-2,2),(5,-6\left)\right\}$

Step 2. What to find?

A table, a graph, a mapping, domain, and range for the given relation.

Step 3. Calculation.

Table: We will assign $x$-coordinates in the first column and the $y$-coordinate in the second column. So, the table is given by:

x	y
-2	2
4	3
5	-6

Graph: We will plot the ordered pairs in a graph sheet. So, the graph is given by:

Mapping: We will connect the values $x$ in the domain to the values $y$ in the range using lines.

Domain: Domain is the list of the x values = $\{-2,4,5\}$

Range: Range is the list of the y values = $\{2,3,-6\}$