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 All 1 month 2022-04-10T02:37:30+00:00 2022-04-10T02:37:30+00:00 2 Answers 0
Answers ( 2 )
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]
The answer is:
[tex] a=9 b=3 c=1 [/tex]
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
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