More graphing ?Make a complete graph of the following functions. If an interval is not specified, graph the function on its domain. Use a graphing utility to check your work. f?(?x? x? + 2 cos ?x? on [?2?, 2?]

Solution:- Step1 Given function is f(x)= x+2 cos(x) on[-2 , 2 ] And the domain of given function is [-2 , 2 ] The given function is not symmetrical about x-axis and y-axis. Since it is not an even or odd function. Step2 Differentiate the given equation to find f’(x) we get, f’(x)= 1-2 sin(x) Again differentiate f’(x) to find f”(x) we get, f”(x)=-2 cos(x) Step3 To get extreme value we have to use f’(x)=0 1-2 sin(x)=0 1=2sin(x) 1 sin(x)= 2 Values in the interval [-2 , 2 ] Which satisfy the above equation 5 7 11 x= ,6 6 , 6 , 6 These x values are the critical points. Step4 To find the inflection points we have to use f”(x)=0 -2 cos(x)=0 cos(x)=0 Values in the...