Concept explainers
Evaluating Exponential Functions Use a calculator to evaluate the function at the indicated values. Round your answers to three decimals.
10.
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Precalculus: Mathematics for Calculus (Standalone Book)
- Difference Quotients These exercise involve a difference quotient for an exponential function. If f(x)=10x , show that f(x+h)f(x)h=10x(10x1h)arrow_forwardComparing Exponential and Power Functions In these exercise we use a graphing calculator to compare the rates of growth of the graph of a power function and an exponential function. Compare the rates of growth of the functions f(x)=2x and g(x)=x5 by drawing the graphs of both functions in the following viewing rectangles: I. [0,5] by [0,20] II. [0,25] by [0,107] III. [0,50] by [0,108] Find the solutions of the equation 2x=x5, rounded to two decimal places.arrow_forwardFinding the Growth Factor Suppose that f is an exponential function with f(4)=8 and f(5)=10. What is growth factor for f?arrow_forward
- The function f(x)=5x is an exponential function with base______; f(2) =_______, f(0) =______, f(2) =_______, and f(6) =_______.arrow_forwardEvaluating Exponential Functions use a calculator to evaluate the function at the indicated values, Round your answers to three decimals. f(x)=3x ; f(12),f(2.5),f(1),f(14)arrow_forwardExponential Function from a Graph Find the exponential function f(x)=ax whose graph is given.arrow_forward
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