Question - Exponential Expression Tables Comparison
Solution:
The image shows two tables of values, each for a different algebraic expression.For the table on the left, the expression given is 4 raised to the power of x (4^x).The values of x provided are -1, 0, 1, and 2. To fill in the corresponding y-values for the expression 4^x, we calculate 4 raised to the power of each x-value.For x = -1: 4^(-1) = 1/4^1 = 1/4 = 0.25For x = 0: 4^0 = 1 (Any non-zero number raised to the power of 0 is 1.)For x = 1: 4^1 = 4For x = 2: 4^2 = 16For the table on the right, the expression given is 2 raised to the power of y (2^y).The values of y provided are -1, 0, 1, and 2. To find the corresponding x-values for the expression 2^y, we calculate 2 raised to the power of each y-value.For y = -1: 2^(-1) = 1/2^1 = 1/2 = 0.5For y = 0: 2^0 = 1For y = 1: 2^1 = 2For y = 2: 2^2 = 4The completed tables should now have the following values:Left table (4^x):-1 -> 0.250 -> 11 -> 42 -> 16Right table (2^y):-1 -> 0.50 -> 11 -> 22 -> 4
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