Question
Consider the function g(x)=-3x+3 and the points P(x, g(x)) and Q(x+h, g(x+h)) on the graph of g(x). (a) Determine a simplified expression for g(x+h).
Consider the function g(x)=-3x+3 and the points P(x, g(x)) and Q(x+h, g(x+h)) on the graph of g(x). (a) Determine a simplified expression for g(x+h). (b) Determine and simplify an expression for m, the slope of the secant line through P and Q. (e) Determine the slope of the line tangent to the graph of g(x) at P. (d) Determine the coordinates of any points on the graph of g(x) where the tangent line is horizontal.
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