Answer
Linear function.
Work Step by Step
First calculate slope of two consecutive ordered pair coordinates:
The coordinates are \[\left( 0,3 \right),\left( 1,1 \right),\left( 2,-1 \right),\left( 3,-3 \right),\text{ and}\left( 4,-5 \right)\].
\[\text{Since, }m=\left( \frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}} \right)\],
Now, calculate slopes of two consecutive ordered pair of coordinates:
\[\begin{align}
& {{m}_{1}}=\left( \frac{1-3}{1-0} \right)=-2 \\
& {{m}_{2}}=\left( \frac{-1-1}{2-1} \right)=-2 \\
& {{m}_{3}}=\left( \frac{-3+1}{3-2} \right)=-2 \\
& {{m}_{4}}=\left( \frac{-5+3}{4-3} \right)=-2
\end{align}\]
It can be seen that slopes of any two consecutive coordinate pairs are same, and constant slope at any point, is the property of linear function.
Therefore, the ordered pair value of this table represents the graph of linear function.
