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Saylilbaby

  • one year ago

1. Give the domain, range, intercepts, asymptotes, intervals of increasing and decreasing, intervals of positive and negative, symmetry and extrema (if any) for the graph of this equation. Include a screen shot of the graph.

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  1. saylilbaby
    • one year ago
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    \[f(x)=\frac{ 3 }{ x^2-4 }+1\]

  2. amoodarya
    • one year ago
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    what part of question ,is your problem ?

  3. saylilbaby
    • one year ago
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    2. Explain why there are asymptotes for this graph and how to find them algebraically. Use vocabulary given in the text for this module. 3. Algebraically calculate the intercepts, both x and y. Show all work and state extraneous solutions, if any.

  4. amoodarya
    • one year ago
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    \[vertical-retrice\rightarrow x^-4=0 \rightarrow x=\pm 2\\ \lim_{x \rightarrow 2}f(x)=\lim_{x \rightarrow 2}\frac{3}{x^2-4}+1=\infty \\so\\x=2 \space is-vertical-as.\\lim_{x \rightarrow -2}f(x)=\lim_{x \rightarrow -2}\frac{3}{x^2-4}+1=\infty \\so\\x=-2 \space is-vertical-as.\] \[\lim_{x \rightarrow \pm \infty}\frac{3}{x^2-4}+1\rightarrow 0+1=1 \rightarrow y=1 \\is\\horizontal-as.\]

  5. saylilbaby
    • one year ago
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    can u number em so I know what to put for each number @amoodarya

  6. amoodarya
    • one year ago
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    this operation was for finding asymptotes

  7. amoodarya
    • one year ago
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    to find intercept find the root(s) of f(x)=0 \[\frac{3}{x^2-4}+1=0\\\frac{3}{x^2-4}=-1\\x^2-4=-3\\x^2=1\\x=\pm1\]

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