Barrelracing
  • Barrelracing
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Do you have a calculator?
Barrelracing
  • Barrelracing
yes
anonymous
  • anonymous
Take each of the choices and plug it in for x

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campbell_st
  • campbell_st
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
Barrelracing
  • Barrelracing
im confused why would i do that?
campbell_st
  • campbell_st
ok... you said you have a calculator what is the value of \[10 \div 0 = ?\]
Barrelracing
  • Barrelracing
there is no value
campbell_st
  • campbell_st
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....
campbell_st
  • campbell_st
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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campbell_st
  • campbell_st
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..?
Barrelracing
  • Barrelracing
ok

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