Answer the following questions. Use R studio

1. Consider the following equation: Y=(6x213x8)2 a) Find the points ( x values) where the function has zero gradients (slopes). b) Evaluate if the points with zero gradients are maxima or minima. c) Draw the function in XY graph over x values of -2 to +4 . 2. Consider the following annual data on US home price index (HPI) in nominal terms, and the consumer price index (CPI). a) Calculate the yearly percentage changes in home prices and the yearly inflation rates. b) Calculate the real values of the HPI in 2010 dollars. c) Calculate the yearly percentage changes in HPI in real terms. d) Calculate the yearly HPI changes in real terms by using the Fisher equation: Realrate=(1+nominalrate)/A1+inflationrate)1 e) Are your figures in (c) and (d) the same or different