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anonymous

  • one year ago

Find the domain and range, x and y intercepts of the rational function

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

  2. triciaal
    • one year ago
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    domain set of x values range set of y values x-intercept when y = 0 y-intercept when x = 0 restrictions values of x that will make the denominator zero you do not want to divide by zero

  3. triciaal
    • one year ago
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    factor the quadratic

  4. triciaal
    • one year ago
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    |dw:1434948963218:dw|

  5. anonymous
    • one year ago
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    So the domain is \[x \neq 3 and -1\]

  6. anonymous
    • one year ago
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    and the range is all real numbers except 0?

  7. triciaal
    • one year ago
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    domain all real numbers for any x there is a y

  8. anonymous
    • one year ago
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    Im sorry im really bad at this

  9. triciaal
    • one year ago
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    don't be sorry and you are asking and getting help so you are trying stay positive

  10. anonymous
    • one year ago
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    Thank you.. So i understand how you factored and go those numbers but like what do we do with them

  11. triciaal
    • one year ago
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    when x is negative do you see y is when x = 0 y = -2/3 when x is positive y is small

  12. triciaal
    • one year ago
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    I set f(x) = 0 means y = 0 to get the x-intercepts the value of x when y = 0

  13. anonymous
    • one year ago
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    Okay I understand :)

  14. triciaal
    • one year ago
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    |dw:1434949938040:dw|

  15. triciaal
    • one year ago
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    the graph does not touch at x = -1 or x = 3

  16. anonymous
    • one year ago
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    Got it

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