MATA31H3 Lecture Notes - Lecture 13: Inflection Point, Maxima And Minima, Even And Odd Functions
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)(x f ! f ! (b) if graph of f bends downward on an interval i then it is called concave downward on i decreases from positive to negative on (a,b) is concave down on (a,b) if. Concavity test (a) if (b) if f ! f ! > 0 for all x in i, then the graph of f is concave upward. < 0 for all x in i, then the graph of f is concave downward. 2 x is concave up and down. y. A point x = c on the graph concavity of curve is changes from concave up to concave down or from concave down to concave up. is called an inflection point if f (x) f (x) 6 is continuous at x = c and the. Suppose f f continuous near c. f ! , then f(c) has a point of inflection at c. x f.
