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Barrelracing

  • one year ago

What are the discontinuities of the function f(x) = the quantity of x squared plus 5 x plus 6, all over 2 x plus 16.? a) x= -3 b) x = -2 c) x =-8 d) x = -5

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  1. anonymous
    • one year ago
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    Do you have a calculator?

  2. Barrelracing
    • one year ago
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    yes

  3. anonymous
    • one year ago
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    Take each of the choices and plug it in for x

  4. campbell_st
    • one year ago
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    so the problem is \[\frac{x^2 + 5x + 6}{2x + 16}\] so you just need to solve the denominator 2x + 16 = 0 you can't divide anything by zero so you need to find the value of x that makes the denominator zero that is the discontinuity

  5. Barrelracing
    • one year ago
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    im confused why would i do that?

  6. campbell_st
    • one year ago
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    ok... you said you have a calculator what is the value of \[10 \div 0 = ?\]

  7. Barrelracing
    • one year ago
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    there is no value

  8. campbell_st
    • one year ago
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    if you did the calculation you probably got a response like Math Error which means an answer doesn't exist... so a discontinuity is where part of the curve doesn't exist. so to find the discontinuity in this question you need to find the value of x that makes the denominator zero....

  9. campbell_st
    • one year ago
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    here is a graph of the cruve... the vertical dotted line is called an asymptote, it is a discontinuity... as you may see the curve doesn't cross the line. the value of the discontinuity is the the value of x that makes the denominator zero

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  10. campbell_st
    • one year ago
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    so as I said earlier to find the discontinuity you need to solve 2x + 16 = 0 and that value of x is the discontinuity or you could plug all 4 choices into a calculator and then find the one that gives math error which is easier..?

  11. Barrelracing
    • one year ago
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    ok

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