(a) You are given the following information about a function f(x) :f(x)=2x5-5x4-10x3f'(x)=10x2(x-3)(x1)Describe all intervals on which f(x) is increasing or decreasing. Identify any maxima or minima (x-coordinates only), and indicate whether they are local or global extrema. Be sure to support your answers.(b) You are given the following information about a function g(x) :g(x)=x4-3x33x2-xg'(x)=4x3-9x26x-1g''(x)=6(2x-1)(x-1)Describe all intervals on which g(x) is concave up or concave down. Identify any inflection points (x-coordinates only). Be sure to support your answers.(c) Draw a graph of a continuous function h(x) that satisfies the following conditions:h(0)=-4;,h(-2)=0limxh(x)=4h'(0)=0;,h'(x)<0on(-,0);,h'(x)>0on(0,)h''(-1)=h''(1)=0;,h''(x)<0on(-,-1)(1,);,h''(x)>0on(-1,1)