We are given the following function:
[tex]f(x)=4(2^x)[/tex]we are asked to evaluate that function in the following domain:
[tex]\lbrace1,2,3,4\rbrace[/tex]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:
[tex]f(1)=4(2^1)[/tex]since 2 to the power of 1 is 1, we get:
[tex]f(1)=4(2)=8[/tex]If we were to evaluate in x = 2, then we replace the value of "x" in the function for 2, like this:
[tex]f(2)=4(2^2)[/tex]since 2 to the power of 2 is 4, we get:
[tex]f(2)=4(4)=16[/tex]A we continue until we have evaluated all the values in the domain.