Question

Consider the functions f(x)=3x,g(x)=x3f(x)=3 x, g(x)=x^{3}, and h(x)=3xh(x)=3^{x}. a) Graph each function. b) Make a list of the key features for each function, as in investigate. Organize the information in a table. c) Identify key features that are common to each function. d) Identify key features that are different for each function. e) How do the instantaneous rates of change compare for these three functions?

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a)\textbf{a)}

The graph of the function, f(x)=3xf(x) = 3 x, is shown below:

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