Question

Questions involving numeric data [1.3-1.4] Two common examples of different questions that can come up involving numeric data are writtern below. It is important not to confuse these questions. Answer each for the table below, and explain your answers. 17 8 5 3 -6 4. Do the data represent y as a function of x? Explain why or why not 5. Can the data be modeled by a linear function? Explain why or why not.

Answer 1

$\\ \\ 4)\ The\ given\ table\ satisfies\ the\ condition \ that\ each \ input \ has \ only \ one \ output\ so\ it\ if\ function\\ \\\\ 5)\ slope\ between\ point\ (-4,17)\ and\ (-1,8)\ is\ \ \frac{8-17}{-1-(-4)}=-3\\ \\ slope\ between\ point\ \ (-1,8)\ and\ (0,5)\ is\ \ \frac{5-8}{0-(-1)}=-3\\ \\ slope \ between\ point\ (0,5)\ and (2,-3)\ is\ \frac{-3-5}{2-0}=-4\\ \\ Slope\ between\ point\ (2,-3)\ and\ (3,-6)\ is\ \frac{-6-(-3)}{3-2}=-3\\ \\ Slope is \ varying \ so \ data\ \boldsymbol{cannot}\ be\ modeled\ by\ linear \ function$