Question: Suppose that the function is a model for linear growth and that g is a model for exponential growth, with both and g functions of

 Suppose that the function is a model for linear growth and

Suppose that the function is a model for linear growth and that g is a model for exponential growth, with both and g functions of time t. (a) Fill in the table by evaluating the functions and g at the given values of t. (b) Construct equations for the functions and g in terms of t. FE g(t) (c) Use a graphing calculator to graph the functions and g on the same screen for o s t = 10. 1 20 OFMaple Generated Plot O 120 a 1DO 100 O O What does the graph tell us about the differences between the two functions behaviors ? O g(t) is the inverse of F(E) O g(t) increases faster than At) does O g (t) is the same as R(t ) O f (t ) increases faster than g(t) does

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