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Alchen [17]
2 years ago
8

The table below represents the function F. 3 7 F(x) 4 15 5 31 7 127 8 255 The equation that represents this function is?​

Mathematics
1 answer:
timurjin [86]2 years ago
4 0

The table is an exponential function, and the equation that represents this function is f(x) =2^x -1

<h3>The equation of the table</h3>

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:

f(x) =2^x -1

Hence, the equation of the table is f(x) =2^x -1

Read more about exponential functions at

brainly.com/question/9608962

#SPJ1

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