Posted by Kenzie on Monday, November 5, 2012 at 11:52pm.
Find all (real) zeros of the function
Find all (real) poles of the function
The function has...
A horizontal asymptote at 0?
A non-zero horizontal asymptote?
A slant asymptote?
None of the above
- College Algebra - Reiny, Tuesday, November 6, 2012 at 8:30am
I see no = sign in your function, functions are equations.
I see no brackets, but I will assume you mean
f(x) = (3x-1)/(x^2 - 10x + 26)
solving for x^2-10x+26=0 gives no real roots, so there are no vertical asymptotes
if f(x) = 0, then x=1/3
so the x-intercept is 1/3
as x ---> ∞ , f(x) ---> 0
so y=0 or the x-axis is a horizontal asymptote
(from above for positive x's , from below for negative x/s
there is no slant asymptote
I don't know what you mean by "poles"
Here are two graphs of your function by Wolfram
- College Algebra - Steve, Tuesday, November 6, 2012 at 10:58am
odd to be using the term "pole" which is usually reserved for functions of a complex variable. Here it is apparently used to indicate a vertical asymptote, since for a complex function
f(z), a pole at z=c means
lim f(z) = ∞
Answer this Question
- college algebra - Given the following rational function, find a. the horizontal ...
- algebra - find the slant asymptote of the graph of the rational function and use...
- College Algebra - 1.Use completing the square to describe the graph of the ...
- Precalculus - Write an equation for rational function with given properties. a...
- Math - Write a rational function satisfying the following criteria. vertical ...
- college algebra - Given the following rational function, find: A. horizontal ...
- pre calculus - use the seven step method to graph the following rational ...
- College Algrbra - Given the following rational function, f(x)=x^2-x-2/ax^2-x-21 ...
- PreCalculus - State the Vertical Asymptote, Horizontal Asymptote, domain, range...
- Algebra - Help! - Given the function: f(x)=(x^2+6x+5)/(x^2+3x−10) Find the...