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Unit 5 Test Review

Unit 5 Test Review. Rules of exponents, exponential growth and decay functions, solving exponential equations and inequalities, geometric sequences, inverses, compositions of functions, appreciation, depreciations, compound interest. Question 1. Simplify. Question 2. Simplify. Question 3.

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Unit 5 Test Review

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  1. Unit 5 Test Review Rules of exponents, exponential growth and decay functions, solving exponential equations and inequalities, geometric sequences, inverses, compositions of functions, appreciation, depreciations, compound interest.

  2. Question 1 • Simplify

  3. Question 2 • Simplify

  4. Question 3 • What is the domain and range for the function: y = 4(2)x + 6?

  5. Question 4 • Shrink by a SF of ½, shift to the left 7, shift down 3 Go to #14 • Stretch by a SF of ½, shift to the right 7, shift down 3 Go to #7 • Shrink by a SF of ½ , reflect across the x-axis, shift to the left 7, shift down 3 Go to #6 • Shrink by a SF of ½, reflect across the x-axis, shift to the left 3, shift up 7 Go to #9

  6. Question 5 • What is the common ratio in the following geometric sequence:

  7. Question 6 • If a3=12 and r= 3, what is a1?

  8. Question 7 • Write the rule for the geometric sequence if a3 = 8 and a5 = 288.

  9. Question 8 • If f(x) = x2 + 3 and g(x) = x -5 what is f(g(x))? • x2 – 2 Go to # 10 • x2 - 10x + 28 Go to # 2 • x2 + x - 2 Go to # 15 • x3 - 5x2 +3x - 15 Go to # 18

  10. Question 9 • What is the inverse of the function

  11. Question 10 • Solve for x: 3x-2 = 272x-1

  12. Question 11 • A new car is purchased for $40,000. If the value of the car depreciated at 10% each year, when will the car be worth $20,000? • About 60.5 years Go to #14 • About 6.5 years Go to #9 • About 10 years Go to #6 • About 5 years Go to #2

  13. Question 12 • A ring is purchased for $1,000. The value of the ring appreciates 5% each year. How much will the ring be worth after 10 years? • $162,051 Go to #3 • $598.74 Go to #7 • $57,665.04 Go to #15 • $1,628.89 Go to #10

  14. Question 13 • $2,000 is deposited into a savings account that is compound quarterly at 3%. How much will be in the bank after 5 years? • $2,318.55 Go to #4 • $2,322.37 Go to #1 • $8,495.70 Go to #10 • $2,076.13 Go to #15

  15. Question 14 • What is the rate of change for over the interval

  16. Question 15 • Solve the inequality:

  17. Question 16 • If and , what is f(x)-g(x)? • x – 1 Go to #11 • x2 - x - 1 Go to #4 • x2 – x + 5 Go to #3 • x2 – 1 Go to #17

  18. Question 17 • Which of the following statements is true if f(x) = 3x2 + 4, g(x) = x–2, & h(x) = 3x2 - 12x+ 16 • h(x) = f(x) – g(x) Go to #9 • h(x) = f(g(x)) Go to #5 • h(x) = g(f(x)) Go to #11 • h(x) = f(x) + g(x) Go to #2

  19. Question 18 • Which of the following points would be on the graph of

  20. Answer key • 1. B 8. B 15. C • 2. C 9. C 16. C • 3. A 10. A 17. B • 4. C 11. B 18. C • 5. D 12. D • 6. A 13. B • 7. D 14. A

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