anonymous
  • anonymous
please help if f(x)=(1/3)^x and a
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
..are there any answer choices?
anonymous
  • anonymous
Yes @jacquelyn1237 A.f(a)+ f(b)=3 B f(a) + 1/3=f(b) C f(a)= f(b) D. f (a) < f(b) E. f (a) >f(b)
Vocaloid
  • Vocaloid
first step is to narrow it down to D and E, since those are the only ones that make remote sense

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Vocaloid
  • Vocaloid
an easy way to distinguish whether f(a) or f(b) is bigger is just to pick two numbers for a and b and see which one ends up bigger
Vocaloid
  • Vocaloid
if we let a = 1 and b = 2, see whether f(a) or f(b) is bigger.
anonymous
  • anonymous
(you can rule out choices A and B because the questions asks which one "must" be true" and those only work for certain numbers)
anonymous
  • anonymous
@Vocaloid which would be the a or the c in this?
Vocaloid
  • Vocaloid
?
Vocaloid
  • Vocaloid
just calculate f(a) when a = 1
anonymous
  • anonymous
is the answer E, because its a whole fraccion?
anonymous
  • anonymous
and how you know a its 1 ?
Vocaloid
  • Vocaloid
I just picked a value for a
Vocaloid
  • Vocaloid
the question just says a < b so I just picked a = 1 and b = 2 as test values
Vocaloid
  • Vocaloid
you can pick any two numbers for a and b as long as a < b
Vocaloid
  • Vocaloid
the point of me picking a = 1 and b = 2, was just to see whether f(a) or f(b) was bigger
anonymous
  • anonymous
b is the exponent right?
Vocaloid
  • Vocaloid
f(x) = (1/3)^x f(a) = (1/3)^a f(b) = (1/3)^b find f(a) and f(b) if a = 1 and b = 2
anonymous
  • anonymous
\[\left( \frac{ 1 }{ 3 } \right)^2=\frac{ 1 }{ 9 },\] \[\left( \frac{ 1 }{ 3 } \right)^3=\frac{ 1 }{ 27 }\] 2<3 \[\frac{ 1 }{ 9 } ?\frac{ 1 }{ 27 }\]
anonymous
  • anonymous
yeah its true @surjithayer 1/9 is bigger than 1/27

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