Project 9MAC 22331. Consider the following piecewise defined function for various choices of constantspandq.Sketch its graph in the case thatp=q= 1.f(x) =-pxx <-12x=-12-x-1< x <2√x+qx≥2Determine whetherf(x)is continuous atx=-1,x= 0, andx= 2. Classify each discontinu-ity as infinite, jump, or removable.jump discontinuities atx=-1,2continuous atx= 02. For what choices ofpandqdo the limitslimx→-1f(x)andlimx→2f(x)both exist?Do thesechoices makef(x)continuous? Why or why not? Sketch the graph of
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