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Estimate the slope of the graph at the points (x], y, ) and (X2, Y2). At (x , ),), slope = At (X2, )2), slope

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Estimate the slope of the graph at the points (x], y, ) and (X2, Y2). At (x , ),), slope = At (X2, )2), slope = y 4 3 2 (X1 , yi) X -4 -3 -2 1 * 2 , 2 yz ) 3 4 -1 3Use the graph shown in the figure. Identify each of the quantities on the gure. y (a) rm and a5} f(1) = f(5) = (b) f5) - f(1) (c) 51 51: _ =f(5)f(1) _ (my 2 5_1(x 1) y: The tangent line to the graph ofy = h(X) at the point (-6, 2) passes through the point (9, 3). Find h(-6) and h'(-6). h(-6) = :] HHS) = :1 The limit represents f'(c) for a function 1'00 and a number c. Find f(x) and c. Iim x2+25 X45 x5 f(X)= X c= :Ix Identify a function f that has the given characteristics. Then sketch the function. f(3) = 15 f '(x) = 4, -00

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