Analyse the function, draw the graph of a function and determine the properties of a function :
(domain of a function, range of a function, function is/is not one-to-one function, continuous/discontinuous function, even/odd function, is/is not periodic function, unbounded/bounded below/above function, coordinates of intersections with the x-axis and with the y-axis, horizontal/vertical/slant asymptote of a function, local extrema of a function - local minimum and local maximum, intervals of monotonicity - increasing/decreasing function, stationary points, intervals of convexity and concavity - convex/concave function, inflection points)

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