The graph the rational function is attached and the horizontal asymptote is y = 3
The x & y values are f(1) = -3/2, f(2) = -6, f(3) = Undefined and f(4) = 12
How to sketch the graph the rational function
From the question, we have the following parameters that can be used in our computation:
f(x) = (3x)/(x - 3)
The horizontal asymptote of the above function is calculated using
y = Quotients of the leading coefficients of the numeratio and the denominator
So, we have
Horizontal asymptote: y = 3/1
Evaluate
y = 3
For the x and y values, we have
Set x = 1, 2, 3 and 4
f(1) = (3 * 1)/(1 - 3) = -3/2
f(2) = (3 * 2)/(2 - 3) = -6
f(3) = (3 * 3)/(3 - 3) = Undefined
f(4) = (3 * 4)/(4 - 3) = 12
The graph of the function is attached
Question
Draw the graph of f(x) = (3x)/(x - 3) and determine the horizontal asymptote.
Horizontal asymptote y=
Also find the x & y values