Helpjebal
  • Helpjebal
h(x) = - 3x2 + 2x + 12 answer: all real numbers How did they get this answer and what does it mean to be all real numbers?
Mathematics
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jamiebookeater
  • jamiebookeater
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SolomonZelman
  • SolomonZelman
Do you mean the domain?
BloomLocke367
  • BloomLocke367
What were they looking for?
Helpjebal
  • Helpjebal
yes it is a lesson on domain of a function

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SolomonZelman
  • SolomonZelman
The domain is all real numbers, simply speaking, because you can plug any real number for x into the equation h(x), and get a valid output.
SolomonZelman
  • SolomonZelman
Any polynomial, by defnition, will have a domain of "all real numbers".
Helpjebal
  • Helpjebal
so just because it's a polynomial, we know right off the bat that the domain will be "all real numbers" which is 0 and any positive whole number?
SolomonZelman
  • SolomonZelman
Think about it logically. You have whole number powers of x, with some coefficients in front of them, (+ some number at the end sometimes). No matter what real number you put in for x, you get a real number back. there is just simply no reason for the output to be imaginary if you plug in a real number.
SolomonZelman
  • SolomonZelman
You can make an exercise, perhaps.... Make up a polynomial, and plug in some real numbers into the polynomial. You will always see that your output is going to be a real number.
Helpjebal
  • Helpjebal
thank you! just tried that exercise and it totally worked. Thanks again!
SolomonZelman
  • SolomonZelman
You are welcome!

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