Question 1104806
the rational function is (x-7) * (x^2 + 3) /((x - 7) * (x+5)).


the range of the function is undefined at x = 7 and x = -5.


there is an asymptote at x = -5.


there is a hole at x = 7.


there is a hole at x = 7 because the factors of (x-7) in the numerator and (x-7) in the denominator cancel out and disappear after simplification.


there is an asymptote at x = -5 because the (x-5) in the denominator is still there after simplification.


here is the graph.


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