How to define an exponential function.
How to define periodic functions.
How to determine one-sided and two-sided limits from the graph of a function.
How to recognize when a rational function has a horizontal asymptote, and how to find its equation.
How to find the oblique asymptote of a rational function, if it has one.
How to graph the special cases of the family r = a + b cos (theta) when a or b = 0.
How to transform the graph of a hyperbola.
How to describe the unit circle. How to draw the unit circle and label its parts. How to strategize about finding coordinates on the unit circle.
How to use the quotient rule for logarithms.
How to infer the derivative of the natural log function using a calculator investigation.
How to notate solving and graphing inequalities.
How to graph the reciprocal of a linear function.
How to recognize when y = 0 is the horizontal asymptote of a rational function.
How to differentiate a composite function when the outside function is the natural logarithm.
How to solve a logarithmic equation by putting it into exponential form.
How to define a piecewise function.