(Solved): Finding an Appropriate Equation Given Data For each table below, determine if it represents a funct ...
Finding an Appropriate Equation Given Data For each table below, determine if it represents a function that is linear or exponential. Then determine the actual function. It is recommended to use https://www. desmos. com/calculator or another calculator capable of computing both linear and exponential regressions. \begin{tabular}{|c|r|r|r|r|} \hlinex & 0 & 1 & 2 & 3 \\ \hlinef(x) & 130 & 91 & 63.7 & 44.59 \\ \hline \end{tabular} \begin{tabular}{|c|r|r|r|r|} \hline x & 0 & 1 & 2 & 3 \\ \hline g(x) & -115 & -195 & -275 & -355 \\ \hline \end{tabular} \begin{tabular}{|c|r|r|r|r|} \hlinex & 0 & 1 & 2 & 3 \\ \hlineh(x) & 50 & 60 & 72 & 86.4 \\ \hline \end{tabular}
When x = 0 , f(.0) = 130When x = 1 , f(1) = 102.4When x = 2 , f(2) = 81.92The linear function increases or decreases exponentially.Here So, the function f(x) is exponential ??????.Then f(x) = a (b)xf(0) = a(b) = ab = 130f(1) = a(b)2 = ab2 = 91Dividing f(1) by f(0) , we get