How to determine whether a relation is a function.
How to find an antiderivative of a function.
How to restrict the domain of sine so it will have an inverse function.
How to restrict the domain of cosine so it will have an inverse function.
How to restrict the domain of tangent so it will have an inverse function.
How to calculate the composition of functions.
How to evaluate the limit of a function using continuity.
How to find the average value of a function over an interval [a,b].
How we identify the equation of a polynomial function when we are given the intercepts of its graph.
How to find the oblique asymptote of a rational function, if it has one.
How to show that polynomial functions are continuous functions.
How to differentiate a composite function when the outside function is the natural logarithm.
How to define the tangent function for all angles.
How to evaluate the limit of k/x^n as x goes to infinity (or negative infinity).
How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.