Exam. Name. Domain: (0, ) Range: (-, ) Domain: (0, ) Range: (-, ) Domain: (-, ) Range: (0, ) Domain: (-, ) Range: (0, ) y
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1 Eam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the function and write the domain and range in interval notation. ) f () = 5 B) 0 0 ) Domain: (0, ) Range: (-, ) 0 Domain: (0, ) Range: (-, ) Domain: (-, ) Range: (0, ) Domain: (-, ) Range: (0, )
2 Use transformations of the graph = e to graph the function. Write the domain and range in interval notation. ) f () = e + ) B) Domain: (-, ) Range: (0, ) Domain: (-, ) Range: (-, ) Domain: (-, ) Range: (0, ) Domain: (-, ) Range: (, ) Solve the problem. ) After taking a certain antibiotic, the amount of amoicillin A(t), in milligrams, remaining in the patient's sstem t hr after taking,000 mg of amoicillin is A(t) =,000e -0.9t. How much amoicillin is in the patient's sstem hr after taking the medication? Round to the nearest tenth of a mg. ) 9. mg B).0 mg.9 mg 9.9 mg
3 Write the equation in eponential form. ) log = ) / = B) - = = / = Write the equation in logarithmic form. 5) 5 - = 5 -log 5 5 = - B) log 5 5 = - 5) log - 5 = 5 log 5 (-) = 5 Simplif the epression. ) log 7 9 ) - B) - 7) log ( + ) 7) + B) + +
4 Graph the function. ) = log 7 B) )
5 a. Use transformations to graph the function. b. Write the domain and range in interval notation. c. Determine the vertical asmptote. 9) = + log 5 () a. B) a. 9) b. domain: (-, ), range (-, ) c. vertical asmptote: = - a. b. domain: (, ), range (-, ) c. vertical asmptote: = a b. domain: (0, ), range (-, ) c. vertical asmptote: = 0 b. domain: (0, ), range (-, ) c. vertical asmptote: = 0 Use the product propert of logarithms to write the logarithm as a sum of logarithms. Then simplif if possible. 0) log / (abc) 0) log / a - log / b - log / c B) log a + log b + log c (log / a)(log / b)(log / c) log / a + log / b + log / c 5
6 Write the logarithm as a sum or difference of logarithms. Simplif each term as much as possible. ) log a 5 b 7 c ) log 5 a + 7log 5 b + log 5 c B) log 5 a - 7log 5 b + log 5 c log 5 a - 7log 5 b - log 5 c log 5 a + 7log 5 b - log 5 c Write the logarithmic epression as a single logarithm with coefficient, and simplif as much as possible. ) log 5 m - log 5 n ) log 5 m n B) log 5 m n log 5 (m - n) log 5 (m - n ) Use the change-of-base and a calculator to approimate the logarithm to decimal places. ) log 5 9 Solve the equation. ) ( + ) =.5 B) ( - 9) B) - - ) ) Solve the equation. Write the solution set with the eact values given in terms of natural or common logarithms. Also give approimate solutions to decimal places, if necessar. 5) - = 5-5) - ln + ln ; 0.55 B) - ln + ln ; ln - 5 ln ln - 5 ln - ln - ln ln + 5 ln ; { } Solve the equation. Write the solution set with the eact solutions. Also give approimate solutions to decimal places if necessar. ) log ( - ) = log 5 ) {5, -} B) {-5, } {5} { } 7) ln + ln( + ) = ln( + 5) -7 B) -5, 7 5 5, -7 7)
7 Solve the equation. ) log (7 - z) + log z = {, } B) {-, } {-, -} ) Solve the equation. Write the solution set with the eact values given in terms of natural or common logarithms. Also give approimate solutions to decimal places, if necessar. 9) e - e - 0 = 0 ; use natural logarithms 9) {ln 5, -ln };.09 or -0.9 B) {ln 5};.09 {ln 5, ln (-)};.09 or -0.9 { } Solve the sstem b substitution. 0) + = - 5 = - {(-, )} B) {(, )} {(, 0)} {(0, -)} Solve the sstem of equations b using the addition method. ) ( - ) = = - {(, )} B) {(-, 0)} {(, 9)} {(0, -)} Solve the sstem b the substitution method. ) - = -5 + = {(-5, -), (, 9)} B) {(-5, 0), (-5, -)} {(-, ), (, 9)} {(-, ), (-5, 0)} Solve the sstem of equations b using the addition method. ) - = - + = { } B) {(-, -), (, )} {(, ), (, -), (-, ), (-, -)} {(, ), (, -)} Write the augmented matri for the given sstem. ) + + 5z = z = - -z = - 0) ) ) ) ) B)
8 Solve the sstem using Gaussian elimination or Gauss-Jordan elimination. 5) z = z = z = 5) {(5, -, )} B) {(-, -5, -)} {(-, 5, )} {(-5,, )} ) 5-7 = = 7 ) {(, )} B) {(-, -)} {(-, -)} {(-, )} Find A + B. 7) A = , B = ) B) Find AB, if possible. ) A = 7-0 and B = ) B) Not possible ) A = and B = 5-9) Not possible B)
9 Evaluate the determinant of the given matri. 0) A = u -5 9 u 0) -u - 5 B) u + 5 -u + 5 u - 5 Evaluate the determinant of the given matri and state whether the matri is invertible. 7 5 ) A = , Yes B) -5, Yes -, No -5, No ) Give the order of the matri. Classif the matri as a square matri, row matri, column matri, or none of these. ) ) 5 5, row matri B), column matri, none of these, none of these Determine the value of the given element of the matri. ) a A = ) -5 B) -7 Find the additive inverse of A. ) A = 9-5 ) B) For what values of,, and z will A = B? 5) A = - B = z 9 9 5) = 9, = -, z = B) =, = 9, z = =, = -, z = 9 =, = -, z = 9
10 Find AB, if possible. ) A = and B = ) B) Not possible Solve the sstem using Gaussian elimination or Gauss-Jordan elimination. 7) - + z = z = z = 5 7) {(9,, )} B) {(-9, -, )} {(-, 9, -)} {(-, -9, )} 0
11 Answer Ke Testname: REVIEW TEST MATH ) C ) A ) D ) A 5) B ) A 7) C ) D 9) D 0) D ) C ) A ) A ) A 5) B ) A 7) C ) A 9) B 0) A ) A ) C ) B ) C 5) A ) B 7) D ) C 9) C 0) B ) B ) C ) D ) B 5) D ) D 7) B
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