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Answer:
A f(x) = x/((x+5)(x-2))
Step-by-step explanation:
The vertical asymptotes at +2 and -5 indicate that (x -(+2)) and (x -(-5)) are factors of the denominator.
The zero at x=0 indicates (x -0) is a factor of the numerator.
The simplest function that will give a graph like this is ...
f(x) = x/((x +5)(x -2))