2. In 2005, some data was taken on the number of women in certain age groups who gave birth. Age of Women Number of women per 1000 who gave birth 22 27 32 102 116 96 (a) Determine f(x)= a(x-h)+k, so that models this data. (NOT ax²+bx+c) (Use trial and error, and find values of a, h, and k to the tenths place to guarantee that your graph comes close enough to "go through" all 3 points on the table when on "ZOOM STAT™ [as boxes in the TI-83/84].) (b) Estimate the number of women per 1000 who give birth at age 35 according to your model. (c) Where does it look like f(x)=0? (You will likely need to expand your window, especially since you used "ZoomStat") What does this mean? Do you believe this? Is f(x) a perfect model of what really happens? (answer all 3 questions)