\text { A rational function has the form } f(x)=\frac{a x^{3}}{x^{k}+10} \text { where } a \text { is non-zero real numbers and } k \text { is } x+a positive integer. a) Are there any values of a and k for which the function above will have no vertical asymptotes? Explain why by providing examples and showing work. Use terminology learned in this unit. b) Are there any values of a and k for which the function above will have an horizontal asymptote? Explain why by providing examples and showing work. Use terminology learned in this unit.

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