horizontal asymptote 19 videos

Asymptotes of Secant, Cosecant, and Cotangent
Precalculus Trigonometric Functions
How to find the vertical asymptotes of secant, cosecant, and cotangent.
reciprocal identities vertical asymptotes 
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.
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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 
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.
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Graphing Rational Functions, n>m
Precalculus Polynomial and Rational Functions
How to find the oblique asymptote of a rational function, if it has one.
rational functions polynomials degree horizontal asymptote 
The Transformation y = f(bx)
Precalculus Introduction to Functions
How determine what transformation the graph y = f(bx) represents when b > 1.
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Graph of the Tangent Function
Precalculus Trigonometric Functions
How to graph y = tan(theta) for 0 <= theta < pi/2.
tangent the unit circle asymptotes 
Seven Elementary Functions and Their Graphs
Precalculus Introduction to Functions
How to graph seven elementary functions.
functions parent functions asymptotes 
The Reciprocal Transformation
Precalculus Polynomial and Rational Functions
How to graph the reciprocal of a linear function.
the reciprocal transformation x intercepts asymptotes 
Angle Inclination of a Line
Precalculus Advanced Trigonometry
How to find the angle of inclination of a line.
angle inclination horizontal lines tangent slope 
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 
Exponential Functions
Precalculus Exponential and Logarithmic Functions
How to graph exponential functions.
exponential functions graphs of exponential functions asymptote 
More Transformations of Sine and Cosine
Precalculus Trigonometric Functions
How the value of h affects the shape of the graph y = A sin(B(xh)).
transformations sine period amplitude phase shift horizontal shift 
Transforming the Tangent Graph
Precalculus Trigonometric Functions
How to graph y = tan(q) for one or more periods.
sine cosine tangent opposite angle identities intercepts asymptotes periodicity period 
Graph of Logarithmic Functions
Precalculus Exponential and Logarithmic Functions
How to find the graph of a logarithmic equation with a base greater than one.
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Algebraic Representation of Vectors
Precalculus Vectors and Parametric Equations
How to express a position vector algebraically in component form <a,b>, and how to compute its magnitude.
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Addition and Scalar Multiplication of Vectors
Precalculus Vectors and Parametric Equations
How to compute the sum of two vectors or the product of a scalar and a vector.
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Transforming the Cotangent Graph
Precalculus Trigonometric Functions
How graph the cotangent function using five key points.
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Transforming Secant and Cosecant
Precalculus Trigonometric Functions
How graph the secant function using five key points.
even functions the add pi identities secant cosine vertical asymptotes period periodicity