Question

Write a rational function with no veritas al asymptotes and no holes. explain

Answer 1

Question:

write a rational function with no vertical asymptotes and no holes. explain.

Solution:

Let the following rational function:

`f(x)\text{ = }(x^3+2x^2-8x)/(x^2+1)`

notice that the denominator is never zero:

`x^2+\text{ 1 > 0}`

so there are no vertical asymptotes and no holes. (You need zeros in the denominator for those). The graph is shown below.

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