x 45 videos
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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 y-axis.
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
Pre-Algebra Graphing in Two Dimensions
Vocabulary of origin, axes, quadrants, and carteesian coordinates
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Symmetry of Polar Graphs
Precalculus Polar Coordinates and Complex Numbers
How to determine if the graph of a polar equation is symmetric about the x-axis.
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 x-intercepts 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 x-intercept.
polynomial functions leading term end behavior x intercepts -
Intercepts and Asymptotes of Tangent Functions
Precalculus Trigonometric Functions
How to find the x-intercepts 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 x-intercepts 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 x-intercepts 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 -
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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
