Question

please help if f(x)=(1/3)^x and a 10 years ago

Answer 1

..are there any answer choices?

Answer 2

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)

Answer 3

first step is to narrow it down to D and E, since those are the only ones that make remote sense

Answer 4

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

Answer 5

if we let a = 1 and b = 2, see whether f(a) or f(b) is bigger.

Answer 6

(you can rule out choices A and B because the questions asks which one "must" be true" and those only work for certain numbers)

Answer 7

@Vocaloid which would be the a or the c in this?

Answer 8

?

Answer 9

just calculate f(a) when a = 1

Answer 10

is the answer E, because its a whole fraccion?

Answer 11

and how you know a its 1 ?

Answer 12

I just picked a value for a

Answer 13

the question just says a < b so I just picked a = 1 and b = 2 as test values

Answer 14

you can pick any two numbers for a and b as long as a < b

Answer 15

the point of me picking a = 1 and b = 2, was just to see whether f(a) or f(b) was bigger

Answer 16

b is the exponent right?

Answer 17

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

Answer 18

\[\left( \frac{ 1 }{ 3 } \right)^2=\frac{ 1 }{ 9 },\]
\[\left( \frac{ 1 }{ 3 } \right)^3=\frac{ 1 }{ 27 }\]
2<3
\[\frac{ 1 }{ 9 } ?\frac{ 1 }{ 27 }\]

Answer 19

yeah its true @surjithayer 1/9 is bigger than 1/27