Question

Graph the system:
F(x)= 3/x-2; f(x)= 1/2x + 2

Answer 1

We have the functions,

`F(x)=(3)/(x-2)` and
`f(x)=(1)/(2)x+2`.

After plotting both the functions, we see that,

The graph of F(x) is given below, which has the y-intercept at (0,-1.5) and its horizontal asymptote is x-axis.

Also, the graph of f(x) is a straight line passing through (-4,0) and (0,2).

Further, we can see that the two graphs have intersection points as (-4.873,-0.436) and (2.873,3.436).