Answer with Step-by-step explanation:
We are given that a function
[tex]f(x)=6x-3[/tex]
Let [tex]y=f(x)=6x-3[/tex]
We have to sketch the graph
Substitute x=0
[tex]y=6(0)-3=-3[/tex]
The y-intercept of the function is at (0,-3)
Now substitute y=0
[tex]0=6x-3[/tex]
[tex]6x=3[/tex]
[tex]x=\frac{3}{6}=\frac{1}{2}[/tex]
The x- intercept of the function is at (1/2,0).
Now join the point (1/2,0) and (0,-3) by the line.
This is required graph of the function.
