2, g(x) = 4x ) x - 12

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1 Math Practice Final Eam Page 1 1) Find f(-1) when f() = ) ) Given f() = and g() =, find the sum, (f + g)(). ) + 3) Given f() = and g() = , find the difference, (f -g)() 3) ) Given f() = - and g() = 3 +, find the product, (f g)() ) 5) Given f() = and g() = - 3, find the quotient, f () 5) g 6) Which of the functions is graphed below? 6) 6 f() = f()= f()= f()= ) Find the range ) ) Find the domain of the function: f() = notation Write our answer using set-builder 8)

2 Math 110 Final Eam C (Make-up) Page Spring, 009 9) Find the domain of the difference of f and g, (f - g)(): f() =, g() = ) ) Find the domain of the quotient of f and g, (f /g)(): f() =, g() = ) ) The weight W of an object on the Moon varies directl as the weight E on earth. A person who weighs 15 lb on earth weighs 9 lb on the Moon. How much would a 10-lb person weigh on the Moon? Round to one decimal place, if necessar 11) 1) The volume V of a gas varies inversel as the pressure P on it. The volume of a gas is 30 cm3 under a pressure of 1 kg/cm. What will be its volume under a pressure of 35 kg/ cm? 1) 13) Solve: + = = -5 13) The value of the coordinate is... 1) Solve: 6-5 = = 1 1) 15) A sum of mone amounting to $.5 consists of dimes and quarters. If there are 3 coins in all, how man are quarters? 15) 16) Walt made an etra $5000 last ear from a part-time job. He invested part of the mone at 6% and the rest at 10%. He made a total of $0 in interest. How much was invested at 10%? 16) 17) Find the total-profit function for the total-cost and total-revenue functions. C() = 5 + 0,000 R() = ) 18) Find the break even point (-coordinate onl) for the given total-cost and total-revenue functions. Round to the nearest whole unit. C() = 0 + 3,000 R() = ) 19) Find the equilibrium point for the pair of demand and suppl functions. D(p) = p S(p) = 0 + p 19) 0) Graph the solution: < 3 or 6 0) 1) Solve: -3 6 and + > 5 Write our answer using interval notation 1) ) Solve: b - = 5 )

3 Math 110 Final Eam C (Make-up) Page 3 Spring, 009 3) Solve: + 3 < 15 Write our answer using interval notation 3) ) Graph the solution: n - > ) 5) Match the graph below with the corresponding linear inequalit (Note: the boundar line is drawn as a dashed line) 5) > + + < ) Find the domain of the function: f() = - Write our answer using set-builer notation 6) 7) Use rational eponents to simplif: eponents 3 Write our answer using rational 7) 8) Simplif: 0 Assume that all epressions under radicals represent nonnegative numbers. 8) 9) Simplif: ) 30) Simplif: ( 3 - )( 5 - ) 30) 31) Simplif: ( + 7) 31) 3) Solve : = 0 3) 33) Solve : 1/3-3 = 1 33) 3) Simplif: i1 where i is the ʺimaginar numberʺ 3) 35) Simplif: i19 35)

4 Math 110 Final Eam C (Make-up) Page Spring, ) Solve: (3s + ) = 9 36) 37) Solve: 5 + = 1 37) 38) Let f() = Find so that f() =. 38) 39) Find the -intercepts: f() = ) 0) Sue rowed her boat across Lake Bend and back in 3 hours. If her rate returning was mph less than the rate going, and if the distance each wa was 7 miles, find her rate going. Round to one decimal place, if necessar 0) 1) Solve: = -11 1) ) Solve for r: A = 1 3 πr (assume that all variables represent nonnegative numbers.) ) 3) Find the -intercept: f() = ) ) Find the verte: f() = ) 5) The number of mosquitoes M(), in millions, in a certain area depends on the June rainfall, in inches: What amount of rainfall produces the maimum number of mosquitoes? 5) M() = ) The graph below is best represented b which function? (Note: the dashed curve, = is provided for reference) 6) f()= -3(-) -1 f()= -3(+) -1 f()= 1 3 (+) f()= (-) +1

5 Math 110 Final Eam C (Make-up) Page 5 Spring, 009 7) Find the inverse, if it eists: f() = 3-1 7) 8) Given f() = 3-5 and g() = 5, find f g(). 8) 9) The graph below is best represented b which function? 9) f() = e f() = log f() = (0.3) f() = log ) The graph below is best represented b which function? 50) f() = 5 f() = log 0.35 f() = 10 f() = ln 51) Solve: log 9 = 1 51) 5) Epress in terms of log a, log b and log c: log a c b3 5)

6 Math 110 Final Eam C (Make-up) Page 6 Spring, ) Solve: 5 = 7 (Round to the nearest ten-thousandth.) 53) 5) Suppose that $750 is invested at 6% annual interest, compounded continuousl. How much will be in the account in ears if no mone is withdrawn? Hint: Use A = P 1 +i t or A = P e rt, whichever is more appropriate. 5) 55) Suppose that $10,000 is invested at an interest rate of 5.8% per ear, compounded continuousl. What is the doubling time? Hint: Use A = P 1 +i t or A = P e rt, whichever is more appropriate. 55)

7 Answer Ke Testname: PRACTICE FINAL EXAM (MATH 11000) 1) 5 ) ( - 3)( + ) 3) ) ) ) f()= ) { - } 8) { 3} 9) { is a real number and 8} 10) is a real number and 1 and 5 11) 8 lb 1) 138 cm3 13) -10 1) Infinite number of solutions 15) 13 quarters 16) $ ) P() = 55-0,000 18) 6 19) ($35, 510) 0) ), no solution ) 7, -3 3) - 9, 6 ) ) > + 6) None of these 7) 11/1 8) 5 9) - 30) ) ) 13 33) 6 3) -1 35) -i 36) - 1 3, ) -1 ± ) +, -

8 Answer Ke Testname: PRACTICE FINAL EXAM (MATH 11000) 39) (-3, 0) and ( 1, 0) 0) 5.9 mph 1) - 5 3, - 3A ) r = π 3) (0, 3) ) (5, 3) 5) 9 inches 6) f()= -3(+) -1 7) f-1() = ) ) f() = log 50) f() = 5 51) 3 5) log a - 3log b + log c 53) ) $ ) 1 ears

5) In a local election, 48,900 people voted. This was an increase of 6% over the last election. How many people voted in the last election?

5) In a local election, 48,900 people voted. This was an increase of 6% over the last election. How many people voted in the last election? Final Eam Review (2018-2019) Math 11000 1) Evaluate the epression 6 - (a - b) 2, when a = 13 and b = 3 2) Simplif using the distributive law and combining like terms. -3(2t - ) - (t - ) + t 3) Solve: -9