1. For each function as defined that is one-to-one, (a) write an equation for the inverse function in the form (b) graph f and f -1 on the same axes,* and (c) give the 1 y f ( x ), domain and the range of f and f -1. Is it not one-to-one?? a. y 4x 5 b. y 4 ,x0 x 2. Graph each function a. x 1 f ( x) 4 b. f ( x ) 2 x 3. Solve each equation. a. x 2 9 4 3 b. x 2/5 16 4. Future valueFind the future value and interest earned if $56,780 is invested at 5.3% compounded quarterly for 23 quarters. 5. Interest rateFind the required annual interest rate to the nearest tenth of a percent for $65,000 to grow to $65,325 if interest is compounded monthly for 6 months. 8. If the statement is in exponential form, write it in an equivalent logarithmic form. If the statement is in logarithmic form, write it in exponential form. a. 25 32 b. log 4 1 3 64 9. Solve each logarithmic equation. a. x log 3 b. 1 81 x log 5 4 25 10. Use the properties of logarithms to rewrite the expression. Simplify the result if possible. log 2 2 3 5 11. Given the approximations log10 2 0.3010 and log10 3 0.4771 , find each logarithm without using a calculator. log10 20 27 12. Find each value. If applicable, give an approximation to four decimal places. a. b. c. log107 log 0.01 log 0.0055 13. Earthquake intensityOn December 26, 2004, an earthquake struck the Indian Ocean with a magnitude of 9.1 on the Richter scale. The resulting tsunami killed an estimated 229,900 people in several countries. Express this reading in terms of I0. 14. Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. log 2 9 15. Solve each exponential equation. Express irrational solutions as decimals correct to the nearest thousandth. a. x 1 6 3 b. 5 1.2 3 x 2 1 7 16. Solve the following logarithmic equation. Express the solution in exact form. ln(2 x) 5 17. Investment timeFind t to the nearest hundredth year if $1786 becomes $2063 at 2.6%, with interest compounded monthly. Refer to the formulas for compound interest tn and r A P 1 n A Pert 18. Interest rateAt what interest rate, to the nearest hundredth of a percent, will $16,000 grow to 20,000 if invested for 5.25 yr and interest is compounded quarterly. Refer to the formulas for compound interest tn r A P 1 n and A Pert 19. Carbon-14 datingA sample from a refuse deposit near the Strait of Magellan had 60% of the carbon-14 of a contemporary sample. How old was the sample? 20. Dissolving a chemicalThe amount of a chemical that will dissolve in a solution increases exponentially as the (Celsius) temperature t is increased according to the model At what temperature will 15g dissolve A(t ) 10e0.0095t . 21. Growth of an accountRuss McClelland, who is self-employed, wants to invest $60,000 in a pension plan. One investment offers 5% compounded quarterly. Another offers 4.75% compounded continuously. If Russ chooses the plan with continuous compounding, how long will it take for his $60,000 to grow to $80,000? 22. Doubling timeIf interest is compounded continuously and the interest rate is tripled, what effect will this have on the time required for an investment to double