Sagot :
Answer:
Functions on a Cartesian Plane
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. 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). The second coordinate represents the vertical distance from the origin.
To graph a coordinate point such as (4, 2), we start at the origin.
Because the first coordinate is positive four, we move 4 units to the right.
From this location, since the second coordinate is positive two, we move 2 units up.
Plot the following coordinate points on the Cartesian plane:
(5, 3)
(-2, 6)
(3, -4)
(-5, -7)
We show all the coordinate points on the same plot.
Notice that:
For a positive x value we move to the right.
For a negative x value we move to the left.
For a positive y value we move up.
For a negative y value we move down.
When referring to a coordinate plane, also called a Cartesian plane, the four sections are called quadrants. 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.
Consider a student named Joseph, who is going to a theme park where each ride costs $2.00. The function that represents the cost of riding r rides is J(r)=2r.
Suppose we wanted to visualize Joseph’s total cost of riding at the amusement park. 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 J(r)=2r
0 2(0)=0
1 2(1)=2
2 2(2)=4
3 2(3)=6
4 2(4)=8
5 2(5)=10
6 2(6)=12
The green dots represent the combination of (r,J(r)). The dots are not connected because the domain of this function is all whole numbers. By connecting the points we are indicating that all values between the ordered pairs are also solutions to this function. Can Joseph ride 212 rides? Of course not! Therefore, we leave this situation as a scatter plot.
Step-by-step explanation: