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Round to the nearest hundredth. g(x) = et, x = 3.6 Step 1 For all real numbers x, the function defined by f(x) = ex is called the natural exponential function. To determine g(x) at x = 3.6, substitute x = 3.6 in g(x) = e. g(3.6) = e (rounded to two decimal places) Use a calculator to evaluate the exponential function for the given x-value.

Question: Use a calculator to evaluate the exponential function for the given x-value. Round to the nearest hundredth. g(x) = ex, x = 3.8 Answer:_____ Use a calculator to evaluate the exponential function for the given x value.

Question: Use a graphing calculator to find the equation of an exponential function given the points on the curve. (x, y) = (0, 3) and (x, y) = (3, 648) y = 3(8.6535)* X Submit Answer Show transcribed image text

Question: Problem 2: A quick look at the special exponential function 20 1 7 • Using your calculator or Mathematica, calculate a decimal approximation for the number e. is weale) an exponential growth function or an exponential decay function? Explain your answer.

Isolate the exponential function by solving for e Hint: Multiply both sides by the denominator first. e-0.2t b. Take the natural log of both sides, then solve for t. Write your answer in exact form. t5ln c. Use a calculator to get a decimal approximation for t.

Use a graphing calculator to find the equation of an exponential function given the points on the curve. (Round the coefficient and base to three decimal places.) (x, y) = (20, 28.295) and (x, y) = (150, 720.86) y = x Recall that an exponential equation can be determined from two points with the regression feature on a graphing calc

The percent of paper and paperboard recycled from municipal solid waste in a certain town has grown exponentially, as shown in the table to the right Use a graphing calculator to fit the data to an exponential function Use the function to find R(x) in 2007 Type the values of a and b from your calculator for the exponential function Year, X 1980, 0 1990, 10 1994, 14 1995. 15 1996, 16 …

For the following exercise, use a graphing calculator to find the equation of an exponential function given the points on the curve. (3,222.62) and (10,77.456) There are 3 steps to solve this one.

Evaluating the Natural Exponential Function In Exercises 33–36, use a calculator to evaluate the function at the indicated value of x. Round your result to the nearest thousandth. Function Value 33. f(x) = ex x = 9.2 34. f(x) = e-* 35. g(x) = 50e4x = 0.02 36. h(x) = -5.5e-* x = 200

Question: Without using a calculator, match each exponential function with its graph. Choose e Choose Choose Choose e e0.20 -0.2 e (I) (II) (III) (IV) X (Click on graph to enlarge) Without using a calculator, match each exponential function with its graph.