MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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1 MAC 0 Module Test 8 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the function value. ) Let f() = -. Find f() C) 8 6 Objective: (.) Evaluate Eponential Function ) The population of a small countr increases according to the function B =,00,000e 0.0t, where t is measured in ears. How man people will the countr have after 8 ears?,9,78 7, C),99,7,6, Objective: (.) Solve Apps: Evaluate Eponential Function Graph the function. ) f() =

2 C) Objective: (.) Graph Eponential Function ) f() = e

3 C) Objective: (.) Graph Eponential Function ) A computer is purchased for $800. Its value each ear is about 78% of the value the preceding ear. Its value, in dollars, after t ears is given b the eponential function V(t) = 800(0.78)t. Find the value of the computer after 7 ears. $67.6 $.97 C) $6,08.00 $8. Objective: (.) Solve Apps: Evaluate Eponential Function 6) The half-life of a certain radioactive substance is 9 ears. Suppose that at time t = 0, there are g of the substance. Then after t ears, the number of grams of the substance remaining will be: N(t) = t/8 How man grams of the substance will remain after 7 ears? 0. g 0.7 g C).06 g 0. g Objective: (.) Solve Apps: Evaluate Eponential Function Find the function value. 7) Let f() = e. Find f(-0.09), rounded to four decimal places C) Objective: (.) Evaluate Eponential Function Graph the function.

4 8) f() = ( - ) C) Objective: (.) Graph Eponential Function 9) The growth in the population of a certain rodent at a dump site fits the eponential function A(t)= 70e 0.08t, where t is the number of ears since 98. Estimate the population in the ear C) 7 Objective: (.) Solve Apps: Evaluate Eponential Function

5 Evaluate the logarithm, if possible. Round the answer to four decimal places. 0) log C) Objective: (.) Tech: Approimate Logarithm ) The sales of a new product (in items per month) can be approimated b S() = + 00 log(t + ), where t represents the number of months after the item first becomes available. Find the number of items sold per month months after the item first becomes available. items per month 0, items per month C) items per month 7 items per month Objective: (.) Solve Apps: Logarithmic Functions ) Cootes are one of the few species of North American animals with an epanding range. The future population of cootes in a region of Mississippi can be modeled b the equation P = + 9 ln(t + ), where t is time in ears. Use the equation to determine when the population will reach 70. 9,89. ears 6. ears C) 6.7 ears 6. ears Objective: (.) Solve Apps: Logarithmic Functions Provide an appropriate response. ) What is the range of the function = log? (0, ) (-, ) C) (, ) [0, ) Objective: (.) *Know Concepts: Logarithmic Functions ) A certain noise has an intensit I of Given that decibel level L is related to intensit b L = 0 log I Io, where I o is 0-, determine the decibel level of the noise. Round our answer to the nearest decibel. 8 decibels 79 decibels C) 69 decibels 8 decibels Objective: (.) Solve Apps: Decibel Scale Find the value of the logarithm without using a calculator. ) log C) - 6 Objective: (.) Evaluate Logarithm Graph the function.

6 6) = log C) Objective: (.) Graph Logarithmic Function Write the logarithmic equation in eponential form. 7) = log () 0 = 0 = C) = 0 0 = Objective: (.) Write Logarithmic Equation in Eponential Form 6

7 Find the value of the logarithm without using a calculator. 8) log - C) - Objective: (.) Evaluate Logarithm Provide an appropriate response. 9) What is the range of the function =? (-, 0) [0, ) C) (0, ) (-, ) Objective: (.) *Know Concepts: Logarithmic Functions Solve the equation. 0) log = 6 C) 0 Objective: (.) Solve Logarithmic Equation 7

Ch. 4 Review College Algebra Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Ch. 4 Review College Algebra Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Ch. Review College Algebra Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Decide whether or not the functions are inverses of each other. 3 5 +