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 break up a logarithm of a large number.
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 to solve inequalities that use the word "and" or "or."
How we identify the end behavior of a polynomial functions.
How to define an exponential function.
How to define periodic functions.
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 use the quotient rule for logarithms.
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 solve a logarithmic equation by putting it into exponential form.
How the number e is defined.
How a domain restriction affects the graph of a function.
How to identify the graph of a stretched cosine curve.