Pre-Calculus Exponential/Logarithm Quiz 3A Name Date Period Part 1: Non-Calculator 1. Determine which graph below is the graph of the function.

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1 Pre-Calculus Exponential/Logarithm Quiz A Name Date Period Part : Non-Calculator. Determine which graph below is the graph of the function. E). Identif the operation that will transform the graph of ( ) x f x into the graph of gx ( ) x. g(x) is obtained b shifting f(x) units upward (positive). g(x) is obtained b shifting f(x) units downward (negative). g(x) is obtained b shifting f(x) units to the left (negative). g(x) is obtained b shifting f(x) units to the right (positive). E) g(x) cannot be obtained b an of these tranforms. Page

2 . Identif the operation that will transform the graph of f ( x) x into the graph of g( x) x. g(x) is obtained b reflecting f(x) in the x-axis then shifting upward units. g(x) is obtained b reflecting f(x) in the -axis then shifting upward units. g(x) is obtained b reflecting f(x) in the x-axis then shifting downward units. g(x) is obtained b reflecting f(x) in the -axis then shifting downward units. E) g(x) cannot be obtained b an of these tranforms.. Rewrite the arithmic equation 6 in exponential form. 6 /6 6 6 E) 6. Rewrite the exponential equation in arithmic form. E) 6. Rewrite the arithm 9 in terms of the natural arithm. ln 9 ln ln ln 9 ln ln 9 ln 9 e E) ln9. Rewrite the arithm in terms of the common arithm. 0 E). Solve the following equation for x. x 6 E) Page

3 9. Solve the following equation for x. x E) 0. Solve x for x. E) no solution. Solve the equation ln x ln( e ) for x. e e e E) The equation has no solution.. Solve the equation ( x) (00) for x E) The equation has no solution.. Simplif the expression 9 0 E) The expression cannot be simplified.. Evaluate the function f( x ) / E) undefined Page

4 . Find the exact value of. E) 6. Expand the expression as a sum, difference, and/or constant multiple of arithms. E). Condense the expression x to the arithm of a single term. ( x ) x x x E) x +. Condense the expression [ x ] [ ] to the arithm of a single term. x x x x E) x Page

5 Part Calculator 9. What is the value of the function 0.x f ( x) 0e at x =.? Round to decimal places E) Let Q represent a mass of radioactive radium ( 6 Ra) (in grams), whose half-life is 99 ears. The quantit of radium present after t ears is t /99 Q Determine the quantit present after 00 ears. Round to the nearest hundredth of a gram g 0. g 0. g.9 g E).00 g. Identif the value of the function f ( x) 0 x at x. Round to decimal places E) 6.0. Evaluate the arithm 0. Round to decimal places E).. Approximate the solution of x e to decimal places E) 0.0. Solve for x: x (0 ). Round to decimal places E) no solution. Approximate the solution to lnx.. Round to decimal places E) An initial investment of $9000 grows at an annual interest rate of % compounded continuousl. How long will it take to double the investment?.6 ears.6 ears.0 ears.0 ears E) ear Page

6 . An initial investment of $000 doubles in value in. ears. Assuming continuous compounding, what was the interest rate? Round to the nearest tenth of a percent..%.%.% 9.% E) 00%. The population of a culture of bacteria is described b the equation 0.0 t A( t) 00 e, where t is the time in hours. What was the population at t = hours? After how man hours will the population reach 0,000? Round to the nearest tenth of an hour. approximate population 6 when t after. hours, At ( ) 0,000 approximate population. when t after.9 hours, At ( ) 0,000 approximate population when t after 9. hours, At ( ) 0, 000 approximate population when t after. hours, At ( ) 0,000 E) approximate population 69 when t after 9. hours, At ( ) 0, A television rating compan tracks the viewing habits of a select sample of American TV viewers and extrapolates the results to estimate the total viewership of an particular show. The estimate of the number of viewers of a particular new show over a period of months was modeled as N( t) 0e kt, where t represents the number of weeks since the opening episode, and k is a constant. If there were 0,000 viewers for the first episode and. million viewers weeks later for the eighth episode, identif an appropriate value for k. Round to the nearest thousandth E). Page 6