How to graph exponential functions.
How the values of A and B affect the shape of the graph y = A sin(Bx).
How to graph y = tan(theta) for 0 <= theta < pi/2.
How to graph y = tan(q) for one or more periods.
How graph the cotangent function using five key points.
How to recognize the graph of an even or odd function.
How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.
How we identify the behavior of a polynomial graph near an x-intercept.
How to define natural and common logs.
How to graph the transformation y = a f(x) + k when f(x) = abs(x).
How to graph y = f(x ? h) when f(x) = sqrt(x), and what kind of transformation to expect.
How we identify the end behavior of a polynomial functions.
How to define an exponential function.
How to define periodic functions.
How to solve inequalities that use the word "and" or "or."
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 find the doubling time of a population when the growth rate is given.