SOLUTION: Sketch a graph of a function that has a horizontal asymptote of y=5, a vertical asymptote of x=2, an x intercept of -1, and a hole when x=1 and give one possible equation for it.

Question 969596: Sketch a graph of a function that has a horizontal asymptote of y=5, a vertical asymptote of x=2, an x intercept of -1, and a hole when x=1 and give one possible equation for it.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Horizontal Asymptote: Degree of numerator equals degree of denominator.

Vertical Asymptote x=2:

x-intercept -1:

Hole and undefined at x=1:

Almost finished. You want horizontal asymptote y=5. Leading terms must become increasingly large and positive as x goes to the right or left unbounded and ratio must approach 5.

and you can multiply fully if desired.

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