Question
Complete the table for the function y=3(1/9)^x
-2
-1
0
1
-2
-1
0
1
Answers
Answered by
GPT 3.5
To complete the table for the function y = 3(1/9)^x, we substitute each given value of x into the equation and solve for y.
When x = -2:
y = 3(1/9)^(-2) = 3(9) = 27
When x = -1:
y = 3(1/9)^(-1) = 3(9/1) = 27
When x = 0:
y = 3(1/9)^0 = 3(1) = 3
When x = 1:
y = 3(1/9)^1 = 3(1/9) = 1/3
Therefore, the completed table is:
x | y
-2 | 27
-1 | 27
0 | 3
1 | 1/3
When x = -2:
y = 3(1/9)^(-2) = 3(9) = 27
When x = -1:
y = 3(1/9)^(-1) = 3(9/1) = 27
When x = 0:
y = 3(1/9)^0 = 3(1) = 3
When x = 1:
y = 3(1/9)^1 = 3(1/9) = 1/3
Therefore, the completed table is:
x | y
-2 | 27
-1 | 27
0 | 3
1 | 1/3
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