Provide an Appropriate Response

Essay

Provide an appropriate response.
-The following table has the inputs, x, and the outputs for three functions, f, g, and h. Use second differences to
determine which function is exactly quadratic, which is approximately quadratic, and which is not quadratic. $$\begin{array} { c | c | c | c } \mathrm { x } & \mathrm { f } ( \mathrm { x } ) & \mathrm { g } ( \mathrm { x } ) & \mathrm { h } ( \mathrm { x } ) \\\hline 0 & 8 & 0 & 0 \\1 & 8.6 & 0.5 & 2.9 \\2 & 9.2 & 2 & 12.3 \\3 & 9.8 & 4.5 & 26.8 \\4 & 10.4 & 8 & 47.4 \\5 & 11 & 12.5 & 75.2\end{array}$$