Even questions only. Question #'s 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

HW 5.3.1: How Fast is y Changing? 1. Use the graph in Fig. 12 to fill in the table. 2 X y=f(x) 0 y = f(x) 0.5 1 1.5 2 2.5 3 3.5 4 Fig. 12 How fast is y changing at each of the listed values: a. x = 1 b. x = 2 C. X= 3 2. Use the graph in Fig. 13 to fill in the table. X y=g(x) 2 / 0 y = g(x) 0.5 1 1.5 2 2.5 3 3.5 Fig. 13 4 How fast is y changing at each of the listed values: a. X = 1 b. x = 2 C. X=3 3. What connection do you notice between how fast y is changing and the graph at that point?4. The table below gives the annual sales (in millions of dollars) of a product. What was the average rate of change of annual sales a) between 2000 and 2001? b) between 2000 and 2005? year 1998 1999 2000 2001 2002 2003 2004 2005 2006 sales | 207 220 235 245 247 252 250 243 |237 5. The table below gives the population of a city, in thousands. What was the average rate of change of population a) between 2002 and 2004? b) between 2002 and 2006? year 2000 2001 2002 2003 2004 2005 2006 2007 2008 population 185 187 182 181 178 |176 |177 175 182 6. Based on the graph shown, estimate the average rate of change from x = 0 to x = 3. 7. Based on the graph shown, estimate the average rate of change from x = 1 to x = 5. Find the average rate of change of each function on the interval specified. 8. f(x) = x' on [2, 5] 9. q(x) = x' on [-1, 3] 10. g(x) = 2x'-1 on [-3, 3] 11. h(x)=3-5x' on [-2, 4] 12. k(t) = 4t' + = on [-1, 3] 13. r(t)=-2t+1 on [-3, 1] 1'+2Find the average rate at change at each function en the interval specified. Your answers will he expreeeiene involving a parameter [a er h}. 14. ftxi=3x1+1 en[1,a] 15.3txi=4x15 en [3, a] 1e. MI) = 3: + 4 en [2, 2m] 1?. m) = 4x2 en [3. 3+h] 1e. pm=i en [9, em] 19. rm=i en[1,1+h] r+2 H1 2e. x} =31? en [2, 2+h] 21. rm=4ri an [e. h] 22. m{x) = 2x2 3 an [x, x+h] 23. nix) = x2 T an [x, x+h]