1. ## Precalculas difficult Question

I don't have a single clue to solve the following question so I post here to seek help.

Create a polynomial function f(x) with a least two vertical asymptotes, and a non-zero horizontial asymptote.

Demonstrate how you would find the x-values in which f(x) ≥ 5

How is this different from finding where f(x) ≥ y ?

Thank you very much

2. ## Re: Precalculas difficult Question

Originally Posted by luckjoehkg
I don't have a single clue to solve the following question so I post here to seek help.

Create a polynomial function f(x) with a least two vertical asymptotes, and a non-zero horizontial asymptote.

Demonstrate how you would find the x-values in which f(x) ≥ 5

How is this different from finding where f(x) ≥ y ?

Thank you very much
Your question makes no sense. Polynomials don't have vertical asymptotes (and no horizontal ones either.)

-Dan

3. ## Re: Precalculas difficult Question

Originally Posted by luckjoehkg
I don't have a single clue to solve the following question so I post here to seek help.
Create a polynomial function f(x) with a least two vertical asymptotes, and a non-zero horizontial asymptote.
Demonstrate how you would find the x-values in which f(x) ≥ 5
How is this different from finding where f(x) ≥ y ?
Is it possible that instead of polynomial function, it was miss-translated and should be rational function?

4. ## Re: Precalculas difficult Question

If you are, indeed, asked to find a rational function having two vertical asymptotes and a non-zero horizontal asymptote then you want something of the form $\frac{1}{(x- a)(x- b)}+ c$. The two vertical asymptotes are at x= a and x= b and the horizontal asymptote is y= c which you want to be non-zero.

5. ## Re: Precalculas difficult Question

Can anybody kindly explain what is the meaning of f(x) ≥ y ?

6. ## Re: Precalculas difficult Question

You are asked to find those values of x such that f(x) is greater than or equal to 5. You were the one who asked "How is this different from finding where $f(x)\ge y$". The answer to that question is that it is exactly the same with y set equal to 5.

7. ## Re: Precalculas difficult Question

Thank you very much for your help.

However, would you please explain more why they are the same?

Thank you very much