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The function f(x) = 4x is a linear function.
Hence the graph will be a straight line graph.
Comparing to the equation of a line in the form y= mx + C, the function f(x) has C = 0.
This means the function passes through the origin.
The graph of f(x) = 4x is shown below.
f(x) = y = 4x
To plot the graph of the function which is a linear or straight line graph, we need at least the coordinates of two points. We assume two values of x to get two corresponding y values to enable us to plot the graph.
[tex]\begin{gathered} \text{when y=4x} \\ \text{when x = 0,} \\ y=4(0) \\ y=0 \\ (x,y)=(0,0) \\ \\ \\ \text{when x =1} \\ y=4(1) \\ y=4 \\ (x,y)=(1.4) \end{gathered}[/tex]Using the points (0,0) and (1,4) to plot the line,
Therefore, the graph of f(x) using these two points is as shown below;
