17) The following function is given on the specified interval. 8 points f ( x ) = = x - 1 -2 sxs-0.5 or written as [- 2,-0.5] Find the absolute maximum and absolute minimum (if any) on the interval. Write your answers as points (x, y). 18) Let f(x) = x# - 2x be a polynomial function. I point a) Find the first, second, and third derivative of f(x). 3 points b) Find the critical points (x, y) for local extrema.18) continued 3 points Use the Second Derivative Test to check if the critical points (x, y) are local minima or maxima. 2 points d) Find the x- and y-intercepts. 2 points e) Find the point(s) of inflection and saddle points (POIs with horizontal tangent) including y-value(s). 2 points f) Sketch the graph and mark all the points you got above clearly! Do it on scratch first :-) Don't forget to label the axis and the units (choose them wisely!) 2 points g ) From your graph decide where the function is increasing and decreasing and where the function is concave up and concave down. Use the following notation for intervals: a x > b or a z x 2 b increasing: concave up