Final answer:
Expressing the function r(x) as ordered pairs involves selecting values for x, calculating the corresponding y-values, and plotting the resulting points on a Cartesian coordinate system to visualize the graph of the function.
Step-by-step explanation:
The question involves expressing the function r(x) = x^2 + 2x - 3 as ordered pairs. To do this, we will choose various values of x, plug them into the equation to calculate corresponding y-values, and then express these as (x, y) coordinates.
For example, if we choose x = 1, then y = 1^2 + 2(1) - 3, giving us y = 0. So, the ordered pair for x = 1 is (1, 0). We can create a table of such pairs for different x-values, which enables us to plot these points and visualize the graph of the function.
Steps to Create Ordered Pairs
Select a value for x.
Calculate the corresponding y-value using the equation r(x).
Write down the (x, y) ordered pair.
Repeat for other x-values to get more points.
The points generated from this process can be plotted on a Cartesian coordinate system to show the dependence of y on x, which typically yields a parabola for quadratic equations like r(x).