Question: Consider the function f(x) = 6x + x2 and the point P(-2, -8) on the graph of f. (a) Graph f and the secant lines

 Consider the function f(x) = 6x + x2 and the point
P(-2, -8) on the graph of f. (a) Graph f and the

Consider the function f(x) = 6x + x2 and the point P(-2, -8) on the graph of f. (a) Graph f and the secant lines passing through P(-2, -8) and Q(x, f(x)) for x-values of -3, - 2.5, - 1.5. -10 -8 -6 1-2 2 8 10 -10 -8 N O -10 O 107 -10 -10 8 6 8 10 -10- (b) Find the slope of each secant line. -9 X (line passing through Q(-3, f(x))) 8.75 X (line passing through Q(-2.5, f(x))) -6.75 X (line passing through Q(-1.5, f(x))) (c) Use the results of part (b) to estimate the slope of the tangent line to the graph of fat P(-2, -8). -1.5 X

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