Q2. - Algebra 1

Question

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

$\mathbf{\left\{}\mathbf{\right(}\mathbf{5}\mathbf{,}\mathbf{-}\mathbf{7}\mathbf{)}\mathbf{,}\mathbf{(}\mathbf{-}\mathbf{1}\mathbf{,}\mathbf{4}\mathbf{)}\mathbf{,}\mathbf{(}\mathbf{0}\mathbf{,}\mathbf{-}\mathbf{5}\mathbf{)}\mathbf{,}\mathbf{(}\mathbf{-}\mathbf{2}\mathbf{,}\mathbf{3}\mathbf{\left)}\mathbf{\right\}}$

Step-by-Step Solution

Answer

Domain = $\{-2,-1,0,5\}$

Range = $\{-7,-5,3,4\}$

Step 1. Given.

Relation $\left\{\right(5,-7),(-1,4),(0,-5),(-2,3\left)\right\}$

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	3
-1	4
0	-5
5	-7

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 = $\{-2,-1,0,5\}$

Range: Range is the list of the y values = $\{-7,-5,3,4\}$