function 53 videos

The Tangent Function
Precalculus Trigonometric Functions
How to define the tangent function for all angles.
tangent right triangle trigonometry the unit circle 
Limits of Rational Functions
Precalculus Polynomial and Rational Functions
How to evaluate the limit of k/x^n as x goes to infinity (or negative infinity).
rational functions limits infinity 
Graphing Rational Functions, n=m
Precalculus Polynomial and Rational Functions
How to recognize when a rational function has a horizontal asymptote, and how to find its equation.
rational functions polynomials degree horizontal asymptote 
Graphing Rational Functions, n less than m
Precalculus Polynomial and Rational Functions
How to recognize when y = 0 is the horizontal asymptote of a rational function.
rational functions polynomials degree horizontal asymptote 
Finding Zeros of a Polynomial Function
Precalculus Polynomial and Rational Functions
How we find the zeros of a polynomial function in expanded form.
polynomial functions zeros factored form expanded form the factor theorem the rational roots theorem potential zeros synthetic division the reduced polynomial the quadratic formula 
Inverse Trigonometric Functions
Precalculus Basic Trigonometry
How to use inverse trig functions to find angles in right triangles.
trigonometry right triangle inverse sine cosine tangent 
The Reciprocal Trigonometric Functions
Precalculus Trigonometric Functions
How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.
identities the unit circle reciprocal identities the Pythagorean identities 
Graphing the Reciprocal Trigonometric Functions
Precalculus Trigonometric Functions
How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.
identities the unit circle the cofunction identities the "add Π@" identities 
Graphing Polynomial Functions with Repeated Factors
Precalculus Polynomial and Rational Functions
How we identify the behavior of a polynomial graph near an xintercept.
polynomial functions leading term end behavior x intercepts 
Computing Difference Quotients
Precalculus Equations of Lines, Parabolas and Circles
How to compute and simplify the difference quotient of a linear function.
functions function notation slope secant line difference quotient 
Computing Difference Quotients
Precalculus Introduction to Functions
How to compute and simplify the difference quotient of a linear function.
functions function notation slope secant line difference quotient 
Graphs with Holes
Precalculus Polynomial and Rational Functions
How to graph a rational function when there is a common factor in the numerator and denominator
rational functions factors holes 
The Reflection y = f(x)
Precalculus Introduction to Functions
How to reflect the graph of y = f(x) across the yaxis.
functions parent functions reflection 
Limits at a Glance
Precalculus Polynomial and Rational Functions
How to quickly find the limit of a rational function as x goes to infinity.
rational functions polynomials degree limits infinity 
Graph of Logarithmic Functions
Precalculus Exponential and Logarithmic Functions
How to find the graph of a logarithmic equation with a base greater than one.
log graph logarithmic graphs inverse graphically domain range asymptote 
Evaluating the Tangent Function
Precalculus Trigonometric Functions
How to evaluate the tangent of 3*pi/4.
tangent quadrants reference angles 
Graph of the Tangent Function
Precalculus Trigonometric Functions
How to graph y = tan(theta) for 0 <= theta < pi/2.
tangent the unit circle asymptotes 
Intercepts and Asymptotes of Tangent Functions
Precalculus Trigonometric Functions
How to find the xintercepts and vertical asymptotes of the graph of y = tan(q).
sine cosine tangent zeros x intercepts vertical asymptotes 
Using the Inverse Trigonometric Functions
Precalculus Advanced Trigonometry
How to evaluate expressions like tan(sin (4/5))^(1).
sine cosine tangent inverse sine inverse cosine inverse tangent the unit circle 
Properties of Logarithms
Precalculus Exponential and Logarithmic Functions
How to evaluate logarithms when the argument is a recognizable power of the base.
logarithmic functions exponential functions inverse functions identities the common logarithm