Using the table below, let's construct the graph of the function such that x is the number of rides and y is the total cost: r Suppose we wanted to visualize Joseph’s total cost of riding at the amusement park. The function that represents the cost of riding r rides is J(r)=2r. Figure 4.1.5.4Ĭonsider a student named Joseph, who is going to a theme park where each ride costs $2.00. The first quadrant is the upper right section, the second quadrant is the upper left, the third quadrant is the lower left and the fourth quadrant is the lower right. When referring to a coordinate plane, also called a Cartesian plane, the four sections are called quadrants. Figure 4.1.5.3įor a positive x value we move to the right.įor a negative x value we move to the left. We show all the coordinate points on the same plot. Plot the following coordinate points on the Cartesian plane: To graph a coordinate point such as (4, 2), we start at the origin.īecause the first coordinate is positive four, we move 4 units to the right.įrom this location, since the second coordinate is positive two, we move 2 units up. The second coordinate represents the vertical distance from the origin. Data points are formatted as (x,y), where the first coordinate represents the horizontal distance from the origin (remember that the origin is the point where the axes intersect). Once a table has been created for a function, the next step is to visualize the relationship by graphing the coordinates of each data point.
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