Question

Using the seven steps in 4.3, analyze the graph of the following function.
R(x)=x^2+x-30/x+3

Answer 1

I don't understanding, i need help asap.

Answer 2

well looking at the function start by factoring the numerator

\[R(x) = \frac{(x +6)(x-5)}{x+3}\]

1. Roots: the function has roots at x = -6 and x = 5

2. Vertical asymptote solve x = 3 = 0 and this will be the vertical asymptote

3. The curve has an oblique asymptote which is found by polynomial division



so the oblique asymptote is y = x - 2

hope this helps.