Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=\frac{1}{2}x-3[/tex]
This is the equation of a line in slope intercept form
we know that
To graph a line we need tow points
Find the intercepts
Find the y-intercept
The y-intercept is the value of the function when the value of x is equal to zero
For x=0
[tex]f(0)=\frac{1}{2}(0)-3[/tex]
[tex]f(0)=-3[/tex]
The y-intercept is the point (0,-3)
Find the x-intercept
The x-intercept is the value of x when the function is equal to zero
For f(x)=0
[tex]0=\frac{1}{2}x-3[/tex]
[tex]x=6[/tex]
The x-intercept is the point (6,0)
Plot the intercepts and joint the points to graph the line
The graph in the attached figure
