Math  /  Algebra

QuestionFind the vertical asymptotes, x -intercepts, and holes, if any, of the graph of the rational function h(x)=xx2+3h(x)=\frac{x}{x^{2}+3}. 1) Remember, to use x=x= for all your answers. NO SPACES!! 2) You might need to factor your problem first. 3) For any of the following that have 2 answers, put the LOWER value first and the HIGHER value second. For example, if the graph has zeros at 8 and -6 , type x=6x=-6 in the first box and x=8x=8 in the second box. 4) If a function doesn't have one of the items, type the word: none

Studdy Solution
To find holes, check if there are any common factors in the numerator and denominator. The function is:
h(x)=xx2+3 h(x) = \frac{x}{x^2 + 3}
Since there are no common factors between the numerator and the denominator, there are no holes.
Answer: none
The vertical asymptotes are: none. The x x -intercepts are: x=0 x=0 . The holes are: none.

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