Elenathehomeschooler
  • Elenathehomeschooler
can someone help me understand how to find the range and domain of this. f(x) e^(x-2) +3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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welshfella
  • welshfella
the domain is all the possible vaues of x what do you think that might be?
Elenathehomeschooler
  • Elenathehomeschooler
all real numbers greater than or equal to 2?
welshfella
  • welshfella
is there any real value of x for which there is no value of f(x)?

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Elenathehomeschooler
  • Elenathehomeschooler
no
welshfella
  • welshfella
no
Elenathehomeschooler
  • Elenathehomeschooler
would it be all real numbers
welshfella
  • welshfella
yes
Elenathehomeschooler
  • Elenathehomeschooler
how do i find range?
welshfella
  • welshfella
the graph of e^x looks a bit like |dw:1449606810641:dw|
Elenathehomeschooler
  • Elenathehomeschooler
ok
welshfella
  • welshfella
the graph of this function will be similar to the top end of the range will be +Infinity
welshfella
  • welshfella
at x = 0 f(x) will be e^(0-2) + 3
Elenathehomeschooler
  • Elenathehomeschooler
ok
welshfella
  • welshfella
this value is about 3.13 the left side of the graph would approach a limit of 3 if we plug in a high negative value of x into the calculator we get f(x) = 3
welshfella
  • welshfella
so the range is (3, +INF)
Elenathehomeschooler
  • Elenathehomeschooler
finding range is a little confusing to me
welshfella
  • welshfella
yes drawing a rough graph will help have you got a graphical calculator if not there is a website called Desmos Graphical calculator you can use
Elenathehomeschooler
  • Elenathehomeschooler
i use desmos
welshfella
  • welshfella
the range is all the psooble values of f(x)
Elenathehomeschooler
  • Elenathehomeschooler
oh okay
Elenathehomeschooler
  • Elenathehomeschooler
thanks!
welshfella
  • welshfella
yw Note that for very high negataive values of x e^(x -2) approaches 0 for example if x = -1000002 e^-1000000 = 1 / e^1000000 which is a very small number so e^x -2) + 3 appriaches 3
welshfella
  • welshfella
got to go good luck in your studies

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