Given the exponential function f(x) = 1.2x and the logistic function g(x) = , a. Plot

Chapter 7, Problem 1

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Given the exponential function f(x) = 1.2x and the logistic function g(x) = , a. Plot both graphs on the same screen. Use a domain of x [10, 10]. Sketch the result. b. How do the two graphs compare for large positive values of x? How do they compare for large negative values of x? c. Find the approximate x-value of the point of inflection for function g. For what values of x is the graph of function g concave up? Concave down? d. Explain algebraically why the logistic function has a horizontal asymptote at y = e. T1.ransform the equation of the logistic function so that an exponential term appears only once. Show numerically that the resulting equation is equivalent to g(x) as given.