6. Exponential & Logarithmic Functions

Introduction to Exponential Functions

Textbook Question
The figure shows the graph of f(x) = e^x. In Exercises 35-46, use transformations of this graph to graph each function. Be sure to give equations of the asymptotes. Use the graphs to determine graphs. each function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn g(x) = 2e^x
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Textbook Question
The figure shows the graph of f(x) = e^x. In Exercises 35-46, use transformations of this graph to graph each function. Be sure to give equations of the asymptotes. Use the graphs to determine graphs. each function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn h(x) = e^2x + 1
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Textbook Question
In Exercises 47–52, graph functions f and g in the same rectangular coordinate system. Graph and give equations of all asymptotes. If applicable, use a graphing utility to confirm your hand-drawn graphs. f(x) = 3^x and g(x) = (1/3). 3^x
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Textbook Question
Graph each function. Give the domain and range. See Example 3. ƒ(x) = 2^(x+2) - 4
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Textbook Question
In Exercises 47–52, graph functions f and g in the same rectangular coordinate system. Graph and give equations of all asymptotes. If applicable, use a graphing utility to confirm your hand-drawn graphs. f(x) = (½)^x and g(x) = (1/2)^(x-1) + 1
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Textbook Question
Use the compound interest formulas A = P (1+ r/n)^nt and A =Pe^rt to solve exercises 53-56. Round answers to the nearest cent. Find the accumulated value of an investment of \$10,000 for 5 years at an interest rate of 1.32% if the money is b. compounded quarterly
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Textbook Question
Use the compound interest formulas A = P (1+ r/n)^nt and A =Pe^rt to solve exercises 53-56. Round answers to the nearest cent. Find the accumulated value of an investment of \$10,000 for 5 years at an interest rate of 1.32% if the money is d. compounded continuously.
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Textbook Question
Use the compound interest formulas A = P (1+ r/n)^nt and A =Pe^rt to solve exercises 53-56. Round answers to the nearest cent. Find the accumulated value of an investment of \$10,000 for 5 years at an interest rate of 1.32% if the money is a. compounded semiannually
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Textbook Question
Use the compound interest formulas A = P (1+ r/n)^nt and A =Pe^rt to solve exercises 53-56. Round answers to the nearest cent. Suppose that you have \$12,000 to invest. Which investment yields the greater return over 3 years: 0.96% compounded monthly or 0.95% compounded continuously?
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Textbook Question
Graph each function. Give the domain and range. See Example 3. ƒ(x) = (1/3)^(-x+1)
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Textbook Question
Graph y= 2^x and x = 2^y in the same rectangular coordinate system.
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Textbook Question
Graph each function. Give the domain and range. See Example 3. ƒ(x) = -(1/3)^(x+2) - 1
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Textbook Question
Solve each equation. See Examples 4–6. 4^(x-2) = 2^(3x+3)
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Textbook Question
Graph f(x) = 2^x and its inverse function in the same rectangular coordinate system.
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Textbook Question
Concept Check. If ƒ(x) = a^x and ƒ(3) = 27, determine each function value. ƒ(-1)
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