The table is an exponential function, and the equation that represents this function is [tex]f(x) =2^x -1[/tex]
The equation of the table
The table is given as:
x F(x)
4 15
5 31
7 127
8 255
Rewrite the table as:
x F(x)
4 16 - 1
5 32 - 1
7 128 - 1
8 256 - 1
Express as a base of 2
x F(x)
4 2⁴ - 1
5 2⁵- 1
7 2⁷ - 1
8 2⁸ - 1
Notice that the function is 1 subtracted from 2 raised to the power of the input.
This is represented as:
[tex]f(x) =2^x -1[/tex]
Hence, the equation of the table is [tex]f(x) =2^x -1[/tex]
Read more about exponential functions at
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