Explanation:
The function is
To graph the function, let us find the x and y intercepts.
To find x-intercept, let us substitute y=0 in the function
Thus, the x-intercept is
To find the y-intercept, let us substitute x=0, we get,
Thus, the y-intercept is
The graph has no asymptotes.
To plot the points in the graph, we need to substitute the values for x in the function , to find the y-values.
The points are . The image of the graph and table is attached below:
a. The first variable is x and the second variable is y.
b. The equations are and
Step-by-step explanation:
Step 1:
The first step is to define the variables. The variables can be any two symbols, letters, characters, etc.
Here let the first variable be x and the let the second variable be y.
So the variables are defined as x and y.
Step 2:
The sum of the given variables is 12.
The first variable + the second variable = 12,
The difference between the two variables is 4.
The first variable - the second variable = 4.
Step 3:
If we add both the equations we get, and
x = 8 and y = 4.