Question

which of the following rational functions is graphed below? A f(x) = x/(x+5)(x-2) B f(x)= x-2/x(x+5) C f(x)= (x+5)(x-2)/x D f(x)= 1/(x+5)(x-2)

Answer 1

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))