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.

Solution:- Step1 Given function is f(x)= xx + 4 And the domain of given function is [-4, ] The given function is not symmetrical about x-axis and y-axis. Step2 Differentiate the given equation to find f’(x) we get, f’(x)= x + 4 + x 2 x+4 2( x+4 )( x+4 )+x = 2( x+4 ) 2(x+4)+x = 2( x+4 2x+8+x 3x+8 = 2( x+4 )= 2( x+4 ) Again differentiate f’(x) to find f”(x) we get, f”(x)= 3 - 3x+83 2 x+4 4(x+4) = 3x+16 4(x+4) Step3 To get extreme value we have to use f’(x)=0 3x+8 =0 2( x+4 ) 3x+8=0 3x=-8 8 x= 3 is the critical point. Step4 To find the inflection points we have to use f”(x)=0 3x+16 3=0 4(x+4) 3x+16=0 3x=-16 x= 16 is inflection point. This does not exist. 3 Step5 We have to find increasing,...