# pre-calculus

posted by .

R(x)=x^2+x-6
________
x-3

1. find the domain and y-intercepts
2. find the x-intercepts
3. find the real solution of the equation
4. find the horizontal or oblique asymptotes
5. find the x-axis
6. plot the points

• pre-calculus -

R(x) = (x^2 + x - 6)/(x-3)
= (x+3)(x-2)/(x-3)

1. domain: any real number, x ≠ 3
y-intercept, let x = 0, so y = 2
2. for x-intercepts, let y = 0
x = -3, 2
3. x = -3, y = 2
4. After a synthetic division, I got
R(x) = x+4 + 3/(x-3)
So the oblique asymptote is y = x+4

5. "find the x-axis" ????
6. you have to do that.

## Similar Questions

1. ### Pre-Calculus

I want to learn how to find the domain, holes, x-intercepts, y- intercepts, vertical asymptotes, and horizontal asymptotes of a rational function. I know it is against the rules in jiskha to do the homework for the students but if …
2. ### pre cal

g(x) = x^2 - x -12 / x + 1 I know the division brings it to x -2 + -10/x + 1 but these are the steps I have to follow 1. factor the numerator and denominator and find its domain. ( I know 0 is not in domain) 2. write in lowest ermas …
3. ### pre calculus

given the following rational function a. state the domain b. find the vertical and horizontal asymptotes if any c. find the oblique asymptote f(x) = x^2 + 7x + 5 / x + 8
4. ### College Algebra

Using the 7 steps outlined in section 4.3 of your book, analyze the graph of the following function: R(x) = x^2 - 49/x^4 - 16 Step 1: Factor the numerator and denominator of R and find its domain. If 0 is in the domain, find y-intercept, …
5. ### Calculus

Graph the following function. Find and state the domain, intercepts, asymptotes, intervals of increase and decrease, local extrema, concavity, and inflections points. F(x)=(x+1)/(square root(x^2+1)) I got so far... Domain: (-infinity, …

find the slant asymptote of the graphof the rational function. 1.f(x)=x^2-x-2/x-7 y=?
7. ### Geomatry

For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. y-intercept g. x-intercepts 1. f(x)= x^2+x-2 / x^2-x-6
8. ### algebra

For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. y-intercept g. x-intercepts 1. f(x)= x^2+x-2 / x^2-x-6
9. ### math: pre-calculus

5. For the log function (h(x)=log(x+3)-8): a) Find the domain. b) Find the asymptotes. c) Find the x-intercepts.
10. ### math: pre-calculus

For the log function (h(x)=log(x+3)-8): a) Find the domain. b) Find the asymptotes. c) Find the x-intercepts.

More Similar Questions