definition of a function continuous at a point 265 videos
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Introduction to Rational Functions
Algebra Rational Expressions and Functions
How to find excluded values of a rational function.
rational function excluded value domain asymptote -
Introduction to Rational Functions
Precalculus Polynomial and Rational Functions
How to define rational functions, and how to identify their domain and zeros.
rational functions polynomials domain zeros -
Relations and Determining Whether a Relation is a Function
Algebra Graphs and Functions
How to determine whether a relation is a function.
domain range input output function relation -
The Definitions of Sine and Cosine
Trigonometry Trigonometric Functions
How we define sine and cosine for all angle measures using the unit circle.
sine cosine right triangle definitions of sine and cosine angles in standard position unit circle definitions of sine and cosine -
The Definitions of Sine and Cosine
Precalculus Trigonometric Functions
How we define sine and cosine for all angle measures using the unit circle.
sine cosine right triangle definitions of sine and cosine angles in standard position unit circle definitions of sine and cosine -
The Inverse Sine Function
Trigonometry Advanced Trigonometry
How to restrict the domain of sine so it will have an inverse function.
inverse functions one to one inverse sine arcsine -
The Inverse Cosine Function
Trigonometry Advanced Trigonometry
How to restrict the domain of cosine so it will have an inverse function.
inverse functions one to one inverse cosine arccosine -
The Inverse Tangent Function
Trigonometry Advanced Trigonometry
How to restrict the domain of tangent so it will have an inverse function.
inverse functions one to one inverse tangent arctangent -
The Inverse Sine Function
Precalculus Advanced Trigonometry
How to restrict the domain of sine so it will have an inverse function.
inverse functions one to one inverse sine arcsine -
The Inverse Cosine Function
Precalculus Advanced Trigonometry
How to restrict the domain of cosine so it will have an inverse function.
inverse functions one to one inverse cosine arccosine -
The Inverse Tangent Function
Precalculus Advanced Trigonometry
How to restrict the domain of tangent so it will have an inverse function.
inverse functions one to one inverse tangent arctangent -
Point-Slope Form of Linear Equations
Algebra Linear Equations and Their Graphs
How to write the equation of a line in point-slope form.
slope equation -
Composition of Functions
Algebra 2 Functions
How to calculate the composition of functions.
composition f(g(x)) -
Derivatives of Polynomial Functions
Calculus The Derivative
How to compute the derivative of a polynomial function using two properties of the derivative.
the constant multiple rule the sum rule of derivatives polynomial functions derivative -
Average Value of a Function
Calculus The Definite Integral
How to find the average value of a function over an interval [a,b].
average value antidifferentiation limits of integration functions area under a curve -
Find an Equation of the Polynomial Function
Precalculus Polynomial and Rational Functions
How we identify the equation of a polynomial function when we are given the intercepts of its graph.
polynomial functions cubic functions x intercepts factors end behavior leading coefficient stretch factor -
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 -
Locus and Definition of a Circle and Sphere
Geometry Circles
How to define a circle and a sphere using the word locus.
locus set of points distance plane circle sphere given -
The Second Derivative Test for Relative Maximum and Minimum
Calculus Applications of the Derivative
How to show that polynomial functions are continuous functions.
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Counterexample
Geometry Geometry Building Blocks
How to use a counterexample to prove a definition or conjecture incorrect.
counterexample definition conjecture