Recall that an inflection point is a point on the graph of a continuous function where the tangent line exists and where

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Recall That An Inflection Point Is A Point On The Graph Of A Continuous Function Where The Tangent Line Exists And Where 1 (21.11 KiB) Viewed 13 times

Recall that an inflection point is a point on the graph of a continuous function where the tangent line exists and where the concevity changes. To find infection points for the given function, we follow the method below. 1. Compute g(x). 2. Determine the numbers in the domain of g for which g"tx) 0 or g(x) does not exist. 3. Determine the sign of g(x) to the left and right of each number c found in Step 2. If there is a change in the sign of g'(a) as we move across then (c, f(c)) is an inflection point of g. We first compute g"(x). g(x) = 5x3 9x² + 4x-7 g'(x) = g(x) = 1x²-18x +4 1x-10