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7-74.

Given the graph of shown below, write at least five limit statements corresponding to this function. The limit statements you write should describe the graph thoroughly so that someone could sketch the general shape of the graph from your limit statements.  

3 piece, Piecewise graph, asymptotes at, x = negative 4, & x axis, left piece, starts below x axis on the left, turning at approximate point (negative 5, comma negative 1.5), & rising to infinity left of vertical asymptote. Center piece, starting from positive infinity, changing from opening  up to opening down, at open point (negative 1, comma 1), ending at closed point (1, comma negative 1). Right piece, starting at open point ( 1 comma 2), opening up, continuing right & above  x axis.