MAT135H1 Final: 4.1 Increasing and Decreasing Functions
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MAT135H1 Full Course Notes
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2 f x is decreasing (falls) on an interval if, x for any value of 1 x< , determine the intervals where f x is increasing and decreasing increasing when x 0 decreasing when x so for a function f x that is continuous and differentiable on an interval, f x is increasing if f. "( ) 0 x > for all values of x on the interval i slopeof tangent is f x is decreasing if f. "( ) 0 x < for all values of x on the interval the slope of the tangents are positive the slope of the tangents are negative. Example 2: for the following functions, determine the intervals where the function is increasing or decreasing. f x. 2 f g 3 2 6x x o x. 2 1 f cx tix lie is increasing when xx 1 decreasing when k i.
