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Exponential growth and decay
From compound interest to population growth to half lives of radioactive materials, it all comes down to exponential growth and decay.
Sal introduces and defines exponential functions using the example y = 3^x and graphing it. He also solves an exponential word problem.
Sal shows how to graph y=5^x, including a discussion of the end behavior of the function.
Sal sorts various descriptions of real-world situation according to the type of growth they describe: linear or exponential.
Given a verbal description of a real-world relationship, determine whether that relationship is linear or exponential.
Sal discusses two functions that model the shipment rate of cars. One function is quadratic and the other is exponential. Which one will eventually exceed the other?
Practice analyzing the end behavior of two functions that model similar real-world relationship, where one function is exponential and the other is polynomial.
Sal constructs a linear function of the form f(x)=mx+b and an exponential function of the form g(x)=a*r^x, given a table of values of those functions.
Sal constructs a linear function of the form f(x)=mx+b and an exponential function of the form g(x)=a*r^x, given the graphs of those functions.