## Complete the table of values for the function. f(x) = ( 1/3) ^x a= b= c=

Question

Complete the table of values for the function.

f(x) = ( 1/3) ^x

a=
b=
c=

in progress 0

1. To solve this problem you must apply the proccedure shown below:

1. To complete the table, you only have to substitute each value of [tex] x [/tex] given in the table above, into the function. Then, you have:

a) If [tex] x=-2 [/tex] :

[tex] f(x)=(frac{1}{3})^{-2} =9 [/tex]

b) If [tex] x=-1 [/tex] :

[tex] f(x)=(frac{1}{3})^{-1} =3 [/tex]

c) If [tex] x=0 [/tex] :

[tex] f(x)=(frac{1}{3})^{0} =1 [/tex]

[tex] a=9 b=3 c=1 [/tex]

2. The value of a, b, and c from the expression are 9, 3 and 1 respectively

Given the exponential function represented by the table as [tex]g(x)=(frac{1}{3})^x[/tex]

From the table, we are to find the value of a, b and c

If x = -2

g(-2) = a = (1/3)u207bu00b2

a = 1/3u207bu00b2

a = 9

Similarly;

If x = -1

g(-1) = b = (1/3)u207bu00b9

a = 1/3u207bu00b9

b = 3

Also if x = 0

If x = -1

g(0) = c = (1/3)u2070

c = 1

Hence the value of a, b, and c from the expression are 9, 3 and 1 respectively