jmartinez638
  • jmartinez638
Sketch the graph of a function f(x) for which f(x) > 0, f’(x) > 0, and f’’(x) > 0 on the entire domain of f ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
jmartinez638
  • jmartinez638
@SolomonZelman
SolomonZelman
  • SolomonZelman
Hello!
jmartinez638
  • jmartinez638
Heya! :D

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More answers

SolomonZelman
  • SolomonZelman
I check polynomial wouldn't work. It would have t be even to make f(x)>0, but f'(x) would be >0 at least for some x.
SolomonZelman
  • SolomonZelman
it is probably a square root
Zarkon
  • Zarkon
a very famous function works
SolomonZelman
  • SolomonZelman
famous function?
SolomonZelman
  • SolomonZelman
I get something like \(\color{#0000ff }{ \displaystyle f(x)=\sqrt{x^3+3} }\)
Zarkon
  • Zarkon
a function all should know
SolomonZelman
  • SolomonZelman
yes pliz
Zarkon
  • Zarkon
\[\Large f(x)=e^x\]
SolomonZelman
  • SolomonZelman
Oh...
SolomonZelman
  • SolomonZelman
yes of course :))
SolomonZelman
  • SolomonZelman
I thought maybe \(\color{#0000ff }{ \displaystyle f(x)=\sqrt{x+3}+3 }\) fits
SolomonZelman
  • SolomonZelman
assuming that f'(x) doesn't have to be defined everywhere where f(x) is defined
Zarkon
  • Zarkon
the second derivative of that function is not positive
SolomonZelman
  • SolomonZelman
yes, the power....
SolomonZelman
  • SolomonZelman
we can make it positive... if we make a power bigger but of same nature, perhaps
Zarkon
  • Zarkon
with the cubed...then yes
SolomonZelman
  • SolomonZelman
\(\color{#0000ff }{ \displaystyle f(x)=\sqrt{(x+3)^5} +4 }\)
SolomonZelman
  • SolomonZelman
yes or cubed... i did 5th power just to secure myself
jmartinez638
  • jmartinez638
:| A lot is happening xD
SolomonZelman
  • SolomonZelman
do you have any questions about anthing in (or outside) the thread?
jmartinez638
  • jmartinez638
Not anything in this thread, anymore, but I have a few questions about other things in calc entirely xD
SolomonZelman
  • SolomonZelman
ok:)
SolomonZelman
  • SolomonZelman
I hope I am denoting things correctly.
SolomonZelman
  • SolomonZelman
I think I have extracted the general solution for this... \(\color{#0000ff }{ \displaystyle y=a^{\Large x} ;\quad a>1}\) \(\color{#0000ff }{ \displaystyle y=\sqrt[\Large 2b]{(x+5)^{\Large 3b+2m}};\quad b,m\in\mathbb{N} }\)
SolomonZelman
  • SolomonZelman
don't want to get to complicated tho... you might as well take e^x ...
SolomonZelman
  • SolomonZelman
good luck
jmartinez638
  • jmartinez638
Ok xD thanks guys
SolomonZelman
  • SolomonZelman
yw

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