Algebra

Find the Graph of the PowerPoint that I attached and:
Show how the graph constituted a function
Show evidence of Domain and Range
Show the intercepts
Show the type of symmetry or any symmetry axis
Analyze and show evidence of the type behavior and the type of concavity observed on the sectors of the graph
Show remarkable intervals and values of the variable on the graph (function values)
Show evidence of presence of turning points and their type
Determine the presence of relative( local ) extremes (either MAX, min or both) provide locations and values
Determine the presence of absolute extreme (either MAX, min or both) provide locations and values
Determine the average rate of change using the slope of the secant to the graph in the several remarkable intervals, compare to the value of the slope of the tangent to the graph at the beginning of those remarkable intervals. Include the analysis of what is the slope of the tangent line to the graph at the local extremes.