x 45 videos

Substitutions Involving e^x or ln(x)
Calculus Antiderivatives and Differential Equations
How to use the method of substitution when the antiderivatives involve e^x or ln[x].
substitution antidifferentiation exponential functions logarithmic functions power functions 
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 
Graphing the Transformation y = a f(x) + k
Precalculus Introduction to Functions
How to graph the transformation y = a f(x) + k when f(x) = abs(x).
functions transformations stretch compression reflection vertical shift turning point 
Graphing the Transformation y = f(x  h)
Precalculus Introduction to Functions
How to graph y = f(x ? h) when f(x) = sqrt(x), and what kind of transformation to expect.
functions transformations horizontal shift end point 
Reflections
Geometry Transformations
How to describe the effect of a reflection, how to describe the effect of the ordered pair rules (x,y) > (x, y),(x,y) > (x, y), (x,y) > (y, x).
transformation isometry orientation image equidistant ordered pair rules map x axis y axis line y = x 
Intercepts of Linear Equations
Algebra Linear Equations and Their Graphs
How to work with x an y intercepts graphically or algebraically.
x intercept y intercept y=mx+b 
Graphing Lines using Intercepts
Algebra Linear Equations and Their Graphs
How to graph a line using the x and y intercepts.
x intercept y intercept standard form 
(x,y) Coordinates and Plotting Points
PreAlgebra Graphing in Two Dimensions
Vocabulary of origin, axes, quadrants, and carteesian coordinates

Symmetry of Polar Graphs
Precalculus Polar Coordinates and Complex Numbers
How to determine if the graph of a polar equation is symmetric about the xaxis.
polar graph polar equation symmetry reflection x axis symmetric about the x axis 
Intercepts and Asymptotes of Tangent Functions
Trigonometry 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 
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 
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 
Vocabulary of Quadratic Polynomials
Algebra Quadratic Equations and Functions
How to label the roots of a quadratic polynomial, solutions to a quadratic equation, and xintercepts or roots of a quadratic function.
roots x intercepts solutions excluded values zeros function 
Vocabulary of Quadratic Polynomials
Algebra 2 Quadratic Equations and Inequalities
How to label the roots of a quadratic polynomial, solutions to a quadratic equation, and xintercepts or roots of a quadratic function.
roots x intercepts solutions excluded values zeros function 
Continuity
Calculus Limits and Continuity
How to determine whether a function f(x) is continuous at a particular point x=a.
limits definition of a function continuous at a point domain of a function 

Composition of Functions
Algebra 2 Functions
How to calculate the composition of functions.
composition f(g(x)) 
Finding an Inverse Graphically
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to graph the inverse of a function using points.
finding an inverse graphically switch x and y flip over y=x 
The Discriminant
Algebra Quadratic Equations and Functions
How to calculate and interpret the discriminant of a quadratic equation.
discriminant x intercepts number of solutions 
The Reciprocal Transformation
Precalculus Polynomial and Rational Functions
How to graph the reciprocal of a linear function.
the reciprocal transformation x intercepts asymptotes