Find the equation of any vertical asymptotes fx x2 - x -

Question

Q1. In this problem,

f(x) = 5x - x² - 6

For polynomial function find the following:

(a) Degree of the polynomial

(b) All x intercepts

(c) The y intercept.

Q2. For rational function -

f(x) = (x + 2/x - 2)

(a) Find the intercept for the graph.

(b) Determine the domain.

(c) Find any vertical or horizontal asymptotes for the graph.

(d) Sketch any asymptotes as dashed lines. Then sketch a graph of y = f(x) for - 10 ≤ x ≤ 10 and -10 ≤ y ≤ 10.

Q3. Find the equation of any horizontal asymptote.

f(x) = x⁴ + 2x² + 1/1 - x⁵  

Q4. Find the equation of any vertical asymptotes.

f(x) = (x² - x - 6/x² - 3x - 10).