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Question
Mathematics
  1. Fill in the table for the given explicit function.
g ( x ) = ( 4 ) x g(x)=(-4)^(x)
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Best Answer
We fill in the table for g ( x ) = ( 4 ) x g(x)=(-4)^(x):
x x g ( x ) g(x)
-3 1 16 (1)/(16)
-2 1 4 (1)/(4)
-1 4 -4
0 1
1 4 -4
2 1 4 (1)/(4)
3 1 16 (1)/(16)
x g(x) -3 (1)/(16) -2 (1)/(4) -1 -4 0 1 1 -4 2 (1)/(4) 3 (1)/(16)
Steps:
To find the value of g ( x ) g(x), we substitute the value of x x in the function g ( x ) = ( 4 ) x g(x)=(-4)^(x) and simplify.
For example, to find g ( 3 ) g(-3), we substitute 3 -3 for x x in the equation,
g ( 3 ) = ( 4 ) 3 = 1 ( 4 ) 3 = 1 64 = 1 16 g(-3)=(-4)^(-3)=(1)/((-4)^(3))=(1)/(-64)=(1)/(16)
Similarly, we can find the other values of g ( x ) g(x).
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