Practice section 1 of 6

Find the coordinates of the axial intercepts of the curve $y=x^2+2x-15$.

Find the exact coordinates of the axial intercepts for the following curves.

(a) $y=1/(3-x)$.

(b) $y=(2x+1)/(x-2)$.

(c) $y=x^2/(x-1)$.

(d) $y=(x^2+2x-3)/(x+2)$.

Given the curve $y=1+1/(x-3)$, find the equations of the asymptotes and sketch the curve.

Find the equation(s) of the vertical asymptote(s) for the following curves.

(a) $y=1/(3-x)$.

(b) $y=(2x+1)/(x-2)$.

(c) $y=x^2/(x-1)$.

(d) $y=(x^2+2x-3)/(x+2)$.

Given the curve $y=(x^2-3x)/(x+1)$, find the equations of the asymptotes and sketch the curve.

By carrying out long division to simplify the rational function (if applicable), find the equation(s) of the horizontal asymptote(s) or oblique asymptote(s) for the following curves.

(a) $y=1/(3-x)$.

(b) $y=(2x+1)/(x-2)$.

(c) $y=x^2/(x-1)$.

(d) $y=(x^2+2x-3)/(x+2)$.