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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.
Sal illustrates that exponential functions eventually grow faster than quadratic functions by considering the exponential and the quadratic growth of shipment of cars to two different countries..
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.