1 Consider the function f(x) = - defined on the domain R {0}. x2 (a)...

 

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1 Consider the function f(x) = - defined on the domain R \ {0}. x2 (a) Find an equation for the tangent line to the function passing through the point (x, y) = (1, 1). Write this equation in the form y = ax + b. (b) Draw a figure showing both the graph of the function and the tangent line through this point, and find and label the x and y-intercepts of this tangent line. (c) From the figure, it looks likes the tangent line intersects the graph of at another point besides (1, 1). Find, with proof, where this other intersection occurs. (d) Show that the line is not tangent to the curve at this other point of intersection. [2+3+3+2= 10 marks] 1 Consider the function f(x) = - defined on the domain R \ {0}. x2 (a) Find an equation for the tangent line to the function passing through the point (x, y) = (1, 1). Write this equation in the form y = ax + b. (b) Draw a figure showing both the graph of the function and the tangent line through this point, and find and label the x and y-intercepts of this tangent line. (c) From the figure, it looks likes the tangent line intersects the graph of at another point besides (1, 1). Find, with proof, where this other intersection occurs. (d) Show that the line is not tangent to the curve at this other point of intersection. [2+3+3+2= 10 marks]