Posted by **Debra** on Monday, May 2, 2011 at 11:22am.

Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(x)=(-x^2+3x+9)/(x-1) 1. Describe the domain and range for each of these functions. 2. Determine the equation(s) of any asymptotes found in the graphs of these functions, showing all work. 3. Discuss the conditions needed for a rational function to contain a slant asymptote.

- Algebra -
**bobpursley**, Monday, May 2, 2011 at 11:30am
f is any x except x=-4, g is any x except x=1

range, consider f

f when x=-inf ; f= (inf)^2/inf

when x=+inf; f= (inf)^2/inf

so range of f is -inf to inf

consider g

when x=-inf; g-inf^2/-inf= -inf

x=+inf; g= inf^2/inf= inf

range is -inf to inf

## Answer this Question

## Related Questions

- algebra - Describe the graphs of the functions f(x) = 2x – 3 and g(x) = –2x – 3...
- MATH - A table of the U.S. population in millions indicated in 1960 the ...
- Calculus - Find the sum and difference functions f + g and f – g for the ...
- Calculus - Math questions, please help me? :(? Find the composite functions f o ...
- Algebra - Use the function below to answer the following parts. 1/3x - 4 if -6 &...
- Algebra - Right now we are learning about functions, relations, etc. and I am ...
- Algebra-Functions - I have two problems, that both have graphs involved. 1. How ...
- Algebra 2 - Part 1 Describe the graphs of the functions f(x) = 2^x – 1 and g(x...
- Math - What are the similarities and differences between functions and linear ...
- Math - What are the similarities and differences between functions and linear ...

More Related Questions