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...

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Consider the function g(x)=²-3x+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. Consider the function g(x)=²-3x+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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The function given is gx x3 3x 3 Lets answer each part step by step a To find a simplified expressio... View the full answer