Finding the y-intercept and x-intercept of a rational function

Finding vertical, horizontal, and slant asymptotes for a rational function

First derivative test: critical numbers, intervals of increase, and local extrema

Finding concavity and inflection points using the second derivative

Finding the domain of a cubic polynomial function

Finding x-intercepts and y-intercept of a cubic polynomial

Finding asymptotes of a polynomial function

Finding critical points, intervals of increase/decrease, and local extrema

Computing the second derivative and sketching the full curve