Math 095 Final Exam Review - Faculty.chemeketa.edu

6. If f (x) = 2x 2 + 4 , find the following. a) b) c)Module II – Sections 4.3, 4.4, 4.5, 5.2, 5.3, 5.4, and 5.67. Simplify each of the following and write without negative exponents.y 3 −2⎛ ⎞a)⎝⎜ 4 ⎠⎟b) 6x2 y −3x −1 y 4 c) 5x −2 2x 5 + x 2( ) d)10p −48. Simplify each expression using the laws of exponents. Write the answers with positive exponents.4x( ) 3x 4 3( ) 3 4b)a) −5x 2 35x⎛c)⎝⎜m 2t 3⎞⎠⎟− 3 512( )d) m 6 n 49. Leta) What is the y-intercept of the graph of f? b) Does f represent growth or decay?c) Find f(-2) d) Find f(2) e) Find x when f (x) = 3210. Find an approximate equation of the exponential curve that contains the given set of points. (0, 7)and (3, 2).11. Sue invested $4000 in an account that pays 6% interest compounded annually. Let f(t) represent the value ofthe account after t years. a) Write an equation for f. b) What is the account worth after 12 years?12. Find the value of each logarithm. a) log 6(36) b) ln(e 12 )13. Rewrite the log equations in exponential form. a) log bt = k b) ln p = m14. Rewrite the exponential equations in log form. a) b) c)15. Solve each of the equations.a) 3(4) x−2 = 15 b) 3log(x + 2) = 9 c) 5ln(x − 3) = 4516. A population of 35 fruit flies triples every day. Let be the number of flies after t days.a) Write an equation for the function, f, that models the fruit fly population growth.b) How many fruit flies are there after 5 days?c) How long will it take for the fruit fly population to reach 25000?17. The population of Smalltown decreased from 1910 to 1960, as shown in the table at the right.Let p(t) be the population of Smalltown t years after 1910.a) Use exponential regression to find an equation for p. Round to two decimal places.b) What is the coefficient a in your model and what does it represent?c) Use your function to predict the year the population reaches 150.18. Use the intersect feature on a graphing calculator to solve the equation. 3ln(x + 5) = 5+ 2x