blem 6 The U S consumption of natural gas from 1965 to 1980 can be modeled by C x 0 00012342 0 00568923 0 08792 0 5145z 1 514 where 6 corresponds to 1966 and a 20 to 1980 Consumption is measured in trillion cubic feet Source Department of Energy a Determine symbolically if the consumption function C x is odd even or neither b Evaluate C 12 and interpret the result c Evaluate the average rate of change of the consumption function on the interval 12 13 and interpret your result Be sure to include appropriate units d Graph the function on the domain 6 20 and label the axis Use the graph to describe the energy usage e Determine and interpret the meaning of the local and absolute extrema if any