Yonita H.

asked • 03/12/17

Algebra two

Let f (x)=x^2-9/(x-3)
A.identify discontinuous point (s).
B.find the vertical and horizontal asymptotes
C.identify the domain and range of the function
D.identify the increasing and decreasing intervals
E.identify the end behaviors 
F.sketch the function below 
 

Kenneth S.

Is this a rational algebraic function in which the numerator is (x2-9) is intended? Then these parentheses are required for the numerator, too.  R E Q U I R E D.
 
We factor the numerator and NEXT observe what zeros occur in the denominator. This forces us to say x≠3, i.e. 3 is EXCLUDED FROM THE DOMAIN.
 
Now (only now) we cancel the matching x-3 factors in numerator and our function has simplified by x+3.
 
The graph is a straight line BUT WITH A HOLE at x=3.
 
There are no asymptotes.
 
The range is all Reals (since the line has slope 1) EXCEPT y≠6
 
 
Report

03/12/17

1 Expert Answer

By:

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.