Question

Evaluate the function f(x) = 4(2)" for the domain {1,2,3,4}{8, 9, 10, 11){8, 16, 32, 64){8,64,512, 4096}{8, 68, 218, 1038)

Answer 1

We are given the following function:

`f(x)=4(2^x)`

we are asked to evaluate that function in the following domain:

`\lbrace1,2,3,4\rbrace`

To do that, we must find the value of the function on each one of the numbers in the domain. Let's evaluate the function for x = 1. we do that by replacing "x" in the function for 1 and solving the operations, like this:

`f(1)=4(2^1)`

since 2 to the power of 1 is 1, we get:

`f(1)=4(2)=8`

If we were to evaluate in x = 2, then we replace the value of "x" in the function for 2, like this:

`f(2)=4(2^2)`

since 2 to the power of 2 is 4, we get:

`f(2)=4(4)=16`

A we continue until we have evaluated all the values in the domain.