6. Exponential & Logarithmic Functions

Graph each function. Give the domain and range. See Example 3. ƒ(x) = 2^(x+2) - 4

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

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 rateof 1.32% if the money isa. compounded semiannually;b. compounded quarterly;c. compounded monthly;d. compounded continuously.

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 rateof 1.32% if the money isa. compounded semiannually;b. compounded quarterly;c. compounded monthly;d. compounded continuously.

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 rateof 1.32% if the money isa. compounded semiannually;b. compounded quarterly;c. compounded monthly;d. compounded continuously.

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?

Graph each function. Give the domain and range. See Example 3. ƒ(x) = (1/3)^(-x+1)

Graph y= 2^x and x = 2^y in the same rectangular coordinate system.

Graph each function. Give the domain and range. See Example 3. ƒ(x) = -(1/3)^(x+2) - 1

Solve each equation. See Examples 4–6. 4^(x-2) = 2^(3x+3)

Graph f(x) = 2^x and its inverse function in the same rectangular coordinate system.

Concept Check. If ƒ(x) = a^x and ƒ(3) = 27, determine each function value. ƒ(-1)