Question

Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x.

Answer 1

`F(4) = \frac {1}{256}`

Explanation:

Given the following mathematical function;

`F(x) = \frac {1}{4^(x)}`

When x = 1

`F(1) = \frac {1}{4^(1)}`

`F(1) = \frac {1}{4}`

When x = 2

`F(2) = \frac {1}{4^(2)}`

`F(2) = \frac {1}{4*4}`

`F(2) = \frac {1}{16}`

When x = 3

`F(3) = \frac {1}{4^(3)}`

`F(3) = \frac {1}{4*4*4}`

`F(3) = \frac {1}{4*4*4}`

When x = 4

`F(4) = \frac {1}{4^(4)}`

`F(4) = \frac {1}{4*4*4*4}`

`F(4) = \frac {1}{256}`

When x = 5

`F(5) = \frac {1}{4^(5)}`

`F(5) = \frac {1}{4*4*4*4*4}`

`F(5) = \frac {1}{1024}`