Question

Consider the attached function - The values are?

Answer 1

To find the value f(-7), we just need to evaluate the function at
`x=-7`. In other words, we are going to replace
`x` with -7 in the function:

`f(x)=( (1)/(2) )^x`

`f(-7)=( (1)/(2))^(-7)`

`f(-7)=128`

Similarly, to find the value of f(5), we just need to evaluate the function at
`x=5`. In other words, we are going to replace
`x` with 5 in the function:

`f(x)=( (1)/(2) )^x`

`f(5)=( (1)/(2))^(5)`

`f(5)=0.031`

We can conclude that
`f(-7)=128` and
`f(5)=0.031`