Answer Happy

Sketch the graph of a function that satisfies all of givenconditions:f(1) = f′(1) = f′(4) = f′′(6) = 0limx→0−f(x) = limx→2+ f(x) = −∞, limx→0+ f(x) = limx→2−f(x) =∞limx→−∞f(x) = 1, limx→∞f(x) = 0f′′(x) > 0 for 0 < x < 2 and x > 6f′′(x) < 0 for x < 0 and 2 < x < 6
12. Sketch the graph of a function that satisfies all of given conditions: f(1)=f′(1)=f′(4)=f′′(6)=0 limx→0−​f(x)=limx→2+​f(x)=−∞,limx→0+​f(x)=limx→2−​f(x)=∞limx→−∞​f(x)=1,limx→∞​f(x)=0f′′(x)>0 for 0<x<2 and x>6f′′(x)<0 for x<0 and 2<x<6​