Graph the function f (x)= 3x - 8.
In this problem we have a linear function ( a straigh line)
To graph a line we need two points
so
Find the intercepts of the linear function
Find the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0
f(x)=3(0)-8
f(x)=-8
The y-intercept is the point (0,-8)
Find the x-intercept
The x intercept is the value of x when the value of the function is equal to zero
so
For f(x)=0
0=3x-8
3x=8
x=8/3
x=2.67
the x intercept is the point (2.67,0)
Plot the intercepts, join them and graph the line
uisng a graphing tool
see the attached figure to better understand the problem
please wait a minute
we have the y-intercept (0,-8)
Find another point that the two coordinates are integers
so
For x=5
f(x)=3(5)-8
f(x)=7
so
we have the point
(5,7)
so
Plot the points (0,-8) and (5,7)
see the new attached figure
is the same line, but with two integers points