Please do problems #1, 2, 5, 7, 9, 13, 14, 15, 16, 20

434 Math 155 Lab (4.1-4.3).pdf Q CHAPTER 4 EXPONENTIAL AND LOGARITHMIC FUNCTIONS CHAPTER 4 REVIEW EXERCISES EXPONENTIAL FUNCTIONS I. Determine whether the function y 2. The population ofa herd of deer is represented by represents exponential growth, exponential decay, or neither. Explain the function A(t) = where t is given in years. To the nearest whole number, what will the herd population be after 6 years? 3. Find an exponential equation that passes through the points (2, 2.25) and (5, 60.75). 4. Determine whether Table 1 could represent a function that is linear, exponential, or neither. If it appears to be exponential, find a function that passes through the points. f(x) 3 2 0.9 Tame 1 6. 8. 3 0.27 4 0.081 5. A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the account be worth in 20 years? 7. Does the equation y 2.294e-0654t represent continuous growth, continuous decay, or neither? Explain. GRAPHS OF EXPONENTIAL FUNCTIONS Hsu-Mei wants to save $5,000 for a down payment on a car. To the nearest dollar, how much will she need to invest in an account now with 7.5% APR, compounded daily, in order to reach her goal in 3 years? Suppose an investment account is opened with an initial deposit of $10,500 earning 6.25% interest, compounded continuously. How much will the account be worth after 25 years? 9. Graph the functionf(x) State the domain 10. Graph the functionf(x) = 4 and its reflection and range and give the y-intercept. about the y-axis on the same axes, and give the y-intercept. 11. "Ihe graph off(x) 6.5x is reflected about the y-axis and stretched vertically by a factor of 7. What is the equation of the new function, g(x) ? State its y-intercept, domain, and range. 12. 'Ihe graph here shows transformations of the graph off(x) 2x. What is the equation for the transformation? LOGARITHMIC FUNCTIONS 13. Rewrite logw(4913) = x as an equivalent exponential equation. 15. Rewrite a-s b as an equivalent logarithmic equation. Solve for xlog64(x) to exponential form. 17. 19. Evaluate log(0.000001) without using a calculator. Figure 1 14. Rewrite In(s) = t as an equivalent exponential equation. -38 = h as an equivalent logarithmic 16. Rewrite e equation. J) 18. Evaluate log without using a calculator. 125 20. Evaluate log(4.005) using a calculator. Round to the nearest thousandth.