You can put this solution on YOUR website! Let's look at the function first.
It is undefined at x=1 (because of division by zero).
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As you approach x=1 from the left, the numerator is positive, the denominator is negative, f(x) goes to negative infinity.
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As you approach x=1 from the right, the numerator is positive, the denominator is positive, f(x) goes to positive infinity.
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As x grow large (negative or positive), the function looks like,
So there is a horizontal asymptote at y=1.
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f(x) crosses the x-axis when f(x)=0
f(x) cross the x-axis when x=-4.
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f(x) crosses the y-axis when x=0
f(x) crosses the y-axis when y=-4.
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