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## Unit 5 Test Review

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**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**• What is the domain and range for the function: y = 4(2)x + 6?**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**Question 5**• What is the common ratio in the following geometric sequence:**Question 6**• If a3=12 and r= 3, what is a1?**Question 7**• Write the rule for the geometric sequence if a3 = 8 and a5 = 288.**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**Question 9**• What is the inverse of the function**Question 10**• Solve for x: 3x-2 = 272x-1**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**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**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**Question 14**• What is the rate of change for over the interval**Question 15**• Solve the inequality:**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**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**Question 18**• Which of the following points would be on the graph of**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