Find each interval on whichf(x)is increasing and decreasing for the following function. (Enter your answers using interval notation.)f(x)=4x48x2+12increasing(1,0),(1,)decreasing(,1),(0,1)Find all relative extrema. (If an answer does not exist, enter DNE.)local minimum at(x,y)=1,8(smallerx-value)local minimum at(x,y)=1,8(largerx-value)local maximum at(x,y)=0,12Find the intervals on which the function is concave up and down. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)concave up(0,12)concave down(1,8),(1,8)Find each inflection point. (If an answer does not exist, enter DNE.)(x,y)=33,889(smallerx-value)(x,y)=33,889(largerx-value)