What type of equation is h(x)=x^2/(x-1.5)?

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The function h(x) = x²/(x - 1.5) is classified as a rational function, which is defined as the ratio of two polynomials. Despite its hyperbolic appearance when graphed, it does not contain a y² term, confirming its classification. The key characteristics of rational functions include their asymptotic behavior and discontinuities, which are evident in this case due to the denominator equating to zero at x = 1.5.

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I have the following function:

h(x)= [tex]\frac{x^2}{x-1.5}[/tex]

and I want to know what kind of equation you would call this. It looks like a hyperbola when I graphed it but it has no [tex]y^2[/tex] term.
 
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It is called a rational function - the ratio of 2 polynomials.
 

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