True/False Quiz for Chapter 2

Logarithmic and Exponential Functions

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1. a⁶ = a³a² True False

2. a⁶ = (a³)² True False

3. a² = a² True False

4. a² = 1/a^1/2 True False

5. a² = 1/a² True False

6. (a+b)^1/2 = a^1/2 + b^1/2 True False

7. f(x) = 2(3^x) is an exponential function. True False

8. g(x) = 2(4^2x) is an exponential function. True False

9. h(x) = 4(3^x1) is an exponential function. True False

10. r(x) = 10x^2.1 is an exponential function. True False

11. log 6 = log 3 + log 3 True False

12. log 6 = log 3 + log 2 True False

13. log 9 = (log 3)² True False

14. ln 3(1.05)²⁰ = 20 ln (3.15) True False

15. ln 3 = ln(3) True False

16. If, due to inflation, prices are rising by 1% every month, they will rise exactly 12% during the year. True False

17. If, due to inflation, prices are rising by 1% every month, they will rise by about 12.7% during the year. True False

18. An investment earning 20% interest compounded twice a year is better than one earning 19.7% interest compounded continuously. True False

19. If a quantity is growing continuously with a fractional rate of growth k = 1/3 per year, then the quantity increases by more than one third each year. True False

20. Logistic growth is initially approximately the same as exponential growth with the same fractional rate of growth k. True False