1. Preliminary, Slide 1 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Finney Weir Giordano PRELIMINARY Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved.

2. Preliminary, Slide 2 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Figure 7(a): Scatter plot of (x, y) data in Table 2 (b) Using the regression line to estimate the price of a stamp in 2010.

3. Preliminary, Slide 3 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Figure 14: Shows graphs of power functions that arise frequently in calculus. Knowing the general shapes of these graphs will help you recognize grapher failure. We will review other functions as the chapter continues.

4. Preliminary, Slide 4 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Continued.

5. Preliminary, Slide 5 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Continued.

6. Preliminary, Slide 6 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Figure 24: y = 2 x, y = 3 x, y = 10 x.

7. Preliminary, Slide 7 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Figure 28: Graphs of (a) exponential growth, k = 1.5 > 0 and (b) exponential decay, k = –1.2 < 0.

8. Preliminary, Slide 8 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Figure 32: The graph of y = f –1 (x).

9. Preliminary, Slide 9 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Figure 32: The graph of y = f –1 (x).

10. Preliminary, Slide 10 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Figure 35: The graph of 2 x and its inverse, log 2 x.

11. Preliminary, Slide 11 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Figure 39: Graphs of the (a) cosine, (b) sine, (c) tangent, (d) secant, (e) cosecant, (f) cotangent functions using and radian measure.

12. Preliminary, Slide 12 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Continued.

13. Preliminary, Slide 13 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Continued.

14. Preliminary, Slide 14 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Figure 45: The general sine curve y = A sin [(2  /B)(x – C)]+D, shown for A, B, C, and D positive. (Example 3)

15. Preliminary, Slide 15 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Figure 50: Graphs of (a) y = cos –1 x, (b) y = sin –1 x, (c) y = tan – 1 x, (d) y = sec –1 x, (e) y = csc –1 x, and (f) y = cot –1 x.

16. Preliminary, Slide 16 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Continued.

17. Preliminary, Slide 17 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Continued.

18. Preliminary, Slide 18 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Figure 63: A flow of the modeling process beginning with an examination of real world data.

19. Preliminary, Slide 19 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Figure 67: The rest of Pearl’s data.

20. Preliminary, Slide 20 Preliminary. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved. Figure 68: The logistic curve obtained from Equation (2) superimposed on a scatter plot of Pearl’s observed data in Figure 67.