27: D( f ) = (−∞,0) ∪ (0,∞); f is continuous there.

y-intercept: f (0) not possible; x-intercepts: f = 0 gives x = 2.
f is not symmetric, see f = 0.
Limits at endpoints:

Interpretation as asymptotes:
Horizontal asymptote y = −1 at −∞.
Vertical asymptote at x = 0.
Horizontal asymptote y = 1 at ∞.

Now determine monotonicity using f ′.

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Answer