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Identify and analyze discontinuities of rational functions
By Khan Academy
Sal analyzes the function f(x)=(3x^2-18x-81)/(6x^2-54) and determines its horizontal asymptotes, vertical asymptotes, and removable discontinuities.
Graphing a family of cubic functions
By David Metzler
Using calculus to analyze and graph a family of cubic functions in conjunction with technology
Grade 8 Math - Analyzing Functions
By Lumos Learning
Using the Lumos Study Programs, parents and educators can reinforce the classroom learning experience for children and help them succeed at school and on the standardized tests. Lumos books, dvd, eLearning and tutoring are used by leading schools, libraries and thousands of parents to supplement classroom learning and improve student achievement in the standardized tests.
Determine the end behavior of rational functions
By Khan Academy
Sal analyzes the function f(x)=(3x^2-18x-81)/(6x^2-54) and determines its horizontal asymptotes, vertical asymptotes, and removable discontinuities.
Match graphs of rational functions to their formula
By Khan Academy
Sal analyzes the function f(x)=(3x^2-18x-81)/(6x^2-54) and determines its horizontal asymptotes, vertical asymptotes, and removable discontinuities.
Determine the end behavior of rational functions
By Khan Academy
Sal analyzes the function f(x)=(3x^2-18x-81)/(6x^2-54) and determines its horizontal asymptotes, vertical asymptotes, and removable discontinuities.
Determine the end behavior of rational functions
By Khan Academy
Sal analyzes the function f(x)=(3x^2-18x-81)/(6x^2-54) and determines its horizontal asymptotes, vertical asymptotes, and removable discontinuities.
Match graphs of rational functions to their formula
By Khan Academy
Sal analyzes the function f(x)=(3x^2-18x-81)/(6x^2-54) and determines its horizontal asymptotes, vertical asymptotes, and removable discontinuities.
Match graphs of rational functions to their formula
By Khan Academy
Sal analyzes the function f(x)=(3x^2-18x-81)/(6x^2-54) and determines its horizontal asymptotes, vertical asymptotes, and removable discontinuities.
Match graphs of rational functions to their formula
By Khan Academy
Sal analyzes the function f(x)=(3x^2-18x-81)/(6x^2-54) and determines its horizontal asymptotes, vertical asymptotes, and removable discontinuities.
Match graphs of rational functions to their formula
By Khan Academy
Sal analyzes the function f(x)=(3x^2-18x-81)/(6x^2-54) and determines its horizontal asymptotes, vertical asymptotes, and removable discontinuities.
Determine the end behavior of rational functions
By Khan Academy
Sal analyzes the function f(x)=(3x^2-18x-81)/(6x^2-54) and determines its horizontal asymptotes, vertical asymptotes, and removable discontinuities.
Determine the end behavior of rational functions
By Khan Academy
Sal analyzes the function f(x)=(3x^2-18x-81)/(6x^2-54) and determines its horizontal asymptotes, vertical asymptotes, and removable discontinuities.
Match graphs of rational functions to their formula
By Khan Academy
Sal analyzes the function f(x)=(3x^2-18x-81)/(6x^2-54) and determines its horizontal asymptotes, vertical asymptotes, and removable discontinuities.
Determine the end behavior of rational functions
By Khan Academy
Sal analyzes the function f(x)=(3x^2-18x-81)/(6x^2-54) and determines its horizontal asymptotes, vertical asymptotes, and removable discontinuities.
Algebra Applications: Quadratic Functions
By John Santiago
Forensics. The distance a car travels even after the brakes are applied can be described through a quadratic function. But there is also the reaction time, the split second before the brakes are applied. The total distance is known as the stopping distance and this segment analyzes the quadratic function. This is an equation that can be used by accident investigators.
Algebra Applications: Quadratic Functions
By John Santiago
Forensics. The distance a car travels even after the brakes are applied can be described through a quadratic function. But there is also the reaction time, the split second before the brakes are applied. The total distance is known as the stopping distance and this segment analyzes the quadratic function. This is an equation that can be used by accident investigators.
Algebra Applications: Exponential Functions
By Media4Math
In this episode of Algebra Applications, students explore earthquakes using exponential models. In particular, students analyze the earthquake that struck the Sichuan Province in China in 2008, months before the Beijing Olympics. This dramatic, real-world example allows students to apply their understanding of exponential functions and their inverses, along with data analysis and periodic function analysis. Segments include: What is an earthquake? The basic definition of an exponential function is shown in the intensity function for an earthquake. Students analyze data and perform an exponential regression based on data from the Sichuan earthquake. What is the difference between earthquake intensity and magnitude? An exponential model describes the intensity of an earthquake, while a logarithmic model describes the magnitude of an earthquake. In the process students learn about the inverse of an exponential function. How is earthquake magnitude measured? An earthquake is an example of a seismic wave. A wave can be modeled with a trigonometric function. Using the TI-Nspire, students link the amplitude to an exponential function to analyze the dramatic increase in intensity resulting from minor changes to magnitude. Go to www.media4math.com for additional resources.
Using a Random Variable to Represent a Quantity
By Bionic Turtle
This video shows us an example of how we could use a random variable in the real world. In this case, we represent the return given by investing in a particular company. The video goes over some basics of random variables, including two functions we could use to analyze them
Recognizing functions from graphs
By Khan Academy
Sal checks whether a given set of points can represent a function. For the set to represent a function, each domain element must have one corresponding range element at most.