Question: Advanced maths. step solution The function f is defined by f(x) = (a) State the x-intercept of the graph of y = f(x). (b) Show

Advanced maths. step solution

The function f is defined by f(x) = (a) State the x-intercept of the graph of y = f(x). (b) Show that f(x)= 3x -x The graph of y = f(x) has two stationary points. (c) Find the coordinates of both stationary points. It is given that one of the stationary points is also a point of inflexion. (d) Determine if the other stationary point is a local maximum or local minimum. (e) Find the following limits: E lim f(x) ; E lim f(x). Hence state the equation(s) of any asymptotes on the graph of y = f(x). (g) Sketch the graph of y = f(x), showing all stationary points, intercepts and asymptotes

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