anonymous
  • anonymous
so maybe you can help me with this problem also: For what value of the constant c is the function f continuous on (−infinity, infinity)? f(x) = cx2 + 5x if x < 6 x3 − cx if x ≥ 6 I dont understand the steps and finding this answer . the whole infinity thing throws me off
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
In this, the limits at infinity simply mean that as far as you go left or right the function is always continuous. To make that true also, the two halves of the piecewise function would have to be equal at x=6. So you just set \[cx^2+5x = x^3+6\] and then put in 6 for x and solve for c.
anonymous
  • anonymous
it has to do with the function meeting up at x=6. just like @jeherohaku wrote.
anonymous
  • anonymous
so why isn't the rewritten equation: \[cx ^{2}+5x=x ^{3} +c6\]

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anonymous
  • anonymous
probably a typo
anonymous
  • anonymous
Your rewritten equation should be \[c(6)^2+5(6)=(6)^3+6\] so that you only have one unknown, the c.
anonymous
  • anonymous
oh okay, im still confused though
anonymous
  • anonymous
no... that's not right. you have to include the c in both places.
anonymous
  • anonymous
so what exactly happened to the other c
anonymous
  • anonymous
then combine like terms and solve for c.
anonymous
  • anonymous
OH yeah whoops i had a typo. sorry guys.
anonymous
  • anonymous
\[c(6)^{2} +5(6) = (6)^3 -c(6) \text{ solve for c.} \]
anonymous
  • anonymous
Did you get a value for c?
anonymous
  • anonymous
4.429 and its saying that it is wrong
anonymous
  • anonymous
im doing practice problems on the computer
anonymous
  • anonymous
try it as a fraction... or mixed number.
anonymous
  • anonymous
you've got the right number (I believe) just maybe not the right form. if it's decimal to 3 places, i get the same thing. but they may want a fraction (improper) or mixed number.
anonymous
  • anonymous
i did. its not working as long as i got the answer correct Im okay. i just wanted a understanding of what was going on. my professor sometimes flies over lessons and missing one thing throws me off. i try reading out the textbook but Im more of a visual hands on person. however you guys really helped i appreciate your patience with me. Thank You
anonymous
  • anonymous
what was the fraction you got?
anonymous
  • anonymous
or mixed...
anonymous
  • anonymous
31/7
goformit100
  • goformit100
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anonymous
  • anonymous
perfect, I got that and it works so something must be up with the answer sheet or program

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