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For the function g whose graph is given. Arrange the following numbers in increasing order and explain your reasoning. g(0), g'(-2), g'(0), g'(2), g'(4) |
Answer» Solution : From the graph, the VALUE off(0) = 0. Also TANGENT to` y = g(x) " at" x = 0` MAKES an obtuse ANGLE with thepositive x - AXIS, hence ` g'(0) lt 0`. The measure of acute angle of inclination with the positive x - axis for tangent at ` x =- 2, x = 2, x = 4` is in decreasing order. Hence ` g'(-2), gt g'(2) gt g'(4)`. Thus, values in increasing order are ` g'(0) lt g(0) lt g'(4) lt g'(2) lt g'(-2)`. |
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