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:
$f(x)=( \frac{1}{2} )^x$
$f(-7)=( \frac{1}{2})^{-7}$
$f(-7)=128$

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:
$f(x)=( \frac{1}{2} )^x$
$f(5)=( \frac{1}{2})^{5}$
$f(5)=0.031$

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