Please answer these questions -- all information below is what the professor listed, so ALL information is there and you have to figure this out:

_Item_id=122582 16. Sketch the graph of By space equals space x to the power of n and each transformation. You may use https://www.desmos.com/calculator. By space equals space x to the power of 5 f left parenthesis x right parenthesis space equals space left parenthesis x plus 1 right parenthesis to the power of 5 b. f left parenthesis x right parenthesis space equals space x to the power of 5 plus 1 c. f left parenthesis x right parenthesis space equals space 1 space minus space 1 half x to the power of 5 if left parenthesis x right parenthesis space equals space fraction numerator minus 1 over denominator 2 end fraction open parentheses x plus 1 close parentheses to the power of 5 20. Describe the right-hand and left-hand behavior of thegraph of the polynomial function. left parenthesis x right parenthesis space equals space 2 x squared minus 3 x plus 1 28. Describe the right-hand and left-hand behavior of the graph of the polynomial function. f left parenthesis x right parenthesis space equals space fraction numerator 3 x to the power of 4 minus 2 x plus 5 over denominator 4 end fraction 32. Use a graphing utility (such as https://www.desmos.com/calculator) to graph the functions fand g in the same viewing window. Zoom out sufficiently far to show that the right-hand and left-hand behaviors of the two functions appear identical. f left parenthesis x right parenthesis space equals space fraction numerator minus 1 over denominator 3 end fraction open parentheses x cubed minus 3 x plus 2 close parentheses g left parenthesis x right parenthesis space equals space fraction numerator minus 1 over denominator 3 end fraction x cubed 38. f left parenthesis x right parenthesis space equals space x squared space plus thin space 10 x space plus thin space 25 a. Find all real zeros of the polynomial function b. Determine the multiplicity of each zero c. Determine the maximum possible number of turning points of the graph of the function d. Use a graphing utility (https://www.desmos.com/calculator) to graph the function and verify your answers