Answer:
Please find attached the required graph
Step-by-step explanation:
The given equation of the linear function is p(x) = 4·x
Comparing the above equation with the general equation for a straight line, y = m·x + c, we have;
The slope, m = 4, and the y-intercept c = 0
Therefore, the graph can be constructed by drawing a straight line passing through the origin which is inclined to the horizontal axis such that the ratio of the vertical distance of a point on the line from the x-axis to the distance of the point from the y-axis is 4 to 1
However, in order to graph the given function, such that the values of the x and y coordinates of the points on the line representing the equation of the graph are clearly defined, we generate a table of values using Microsoft Excel as follows;
x [tex]{}[/tex] p(x)
0 [tex]{}[/tex] 0
1 [tex]{}[/tex] 4
2 [tex]{}[/tex] 8
3 [tex]{}[/tex] 12
4 [tex]{}[/tex] 16
5 [tex]{}[/tex] 20
6 [tex]{}[/tex] 24
7 [tex]{}[/tex] 28
8 [tex]{}[/tex] 32
9 [tex]{}[/tex] 36
10 [tex]{}[/tex] 40
11 [tex]{}[/tex] 44
12 [tex]{}[/tex] 48
13 [tex]{}[/tex] 52
14 [tex]{}[/tex] 56
15 [tex]{}[/tex] 60
16 [tex]{}[/tex] 64
From which the required graph is constructed using the insert function in Microsoft Excel
