Answer:
The graph as shown below.
Step-by-step explanation:
Given : The function
We have to plot the graph for the given function
Consider the given function
Domain of function
DOMAIN is set of input values for which the function is real and has defined values.
So, The given function is undefined at x = 3
So, Domain is
RANGE is the set of values of dependent variable for which the function is defined.
Inverse of given function is
Now, domain of inverse function is
Now, x intercept and y- intercepts
x intercept where y = 0 and y- intercept where x= 0
Let f(x) = y
Then
Put x = 0
thus y- intercept is
Now put y = 0
Then x- intercept is
Now, Calculate the vertical and horizontal asymptotes,
Vertical asymptotes,
Go over every undefined point and check if at least one of the following statements is satisfied.
Thus, The vertical asymptotes is x = 3
And For horizontal asymptotes,
We have y = -2 as horizontal asymptotes.
Plot we get the graph as shown below.