rational function 179 videos

Optimization Using the Closed Interval Method
Calculus Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous.

Using Synthetic Division to Evaluate Polynomials
Algebra 2 Polynomials
How to use synthetic division to evaluate a function.
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Finding an Inverse Graphically
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to graph the inverse of a function using points.
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Introduction to Logarithms
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to use inverses to define the logarithmic function.
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Introduction to Logarithms
Precalculus Exponential and Logarithmic Functions
How to use inverses to define the logarithmic function.
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Exponential Growth and Decay
Precalculus Exponential and Logarithmic Functions
How to find the doubling time of a population when the growth rate is given.
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Infinite Limits; Vertical Asymptotes
Calculus Limits and Continuity
How to use onesided limits to find a vertical asymptote.
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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).
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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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An Important Limit
Calculus The Derivative
How to interpret the value of a limit important in the derivative of exponential functions.
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Concavity and Inflection Points
Calculus Applications of the Derivative
How to show that a function is discontinuous at a point x=a because it is not defined there.

Economics: Marginal Cost & Revenue
Calculus Applications of the Derivative
How to interpret the derivatives of the cost and revenue functions as marginal cost and marginal revenue.
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Graphing Radical Equations using Shifts
Algebra Radical Expressions and Equations
How to graph radical functions without making a table of values.
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Square Root Operations
Geometry Pythagorean Theorem
How to simplify square roots using two different methods.
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Square Root Operations
Trigonometry Pythagorean Theorem
How to simplify square roots using two different methods.
Pythagorean theorem simplifying square roots adding square roots multiplying square roots rationalizing roots 
Parametric Equations and Motion
Precalculus Vectors and Parametric Equations
How to graph a parametric curve, and how to eliminate the parameter to obtain a rectangular equation for the curve.
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Optimization Using the First Derivative Test
Calculus Applications of the Derivative
How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph.

OneSided Limits
Calculus Limits and Continuity
How to use onesided limits to show that a limit does not exist.
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