Question

Graph the linear function p(x)=4x .

Answer 1

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            ${}$                p(x)

0            ${}$                0

1            ${}$                 4

2            ${}$                8

3            ${}$                12

4            ${}$                16

5            ${}$                20

6            ${}$                24

7            ${}$                28

8            ${}$                32

9            ${}$                36

10            ${}$                40

11            ${}$                44

12            ${}$                48

13            ${}$                52

14            ${}$                56

15            ${}$                60

16            ${}$                64

From which the required graph is constructed using the insert function in Microsoft Excel