Consider the function f(x)=(x2?11x+32)ex. Find the largest open intervals on whi

Question

Consider the function f(x)=(x2?11x+32)ex.

Find the largest open intervals on which the function is concave up or concave down. If there is more than one interval, enter your intervals from left to right as they appear on the real line. Enter INF for ? and -INF for ??. If there are extra blanks, enter NONE.

Concave up: (  ,  ) , (  ,  )

Concave down: (  ,  ) , (  ,  )

Find all the inflection points. Enter your answer in the format of (x,y) and enter the inflection point with the smaller x-value first. If there are no inflection points, enter NONE.

Inflection point: (  ,  )

Inflection point: (  ,  )

Explanation / Answer

here the given function is

f(x)=(x2-11x+32)ex

on drawing its graph

it is concave up in the interval (-infinity,0)

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