To find the value f(-7), we just need to evaluate the function at [tex]x=-7[/tex]. In other words, we are going to replace [tex]x[/tex] with -7 in the function:
[tex]f(x)=( \frac{1}{2} )^x[/tex]
[tex]f(-7)=( \frac{1}{2})^{-7}[/tex]
[tex]f(-7)=128[/tex]
Similarly, to find the value of f(5), we just need to evaluate the function at [tex]x=5[/tex]. In other words, we are going to replace [tex]x[/tex] with 5 in the function:
[tex]f(x)=( \frac{1}{2} )^x[/tex]
[tex]f(5)=( \frac{1}{2})^{5}[/tex]
[tex]f(5)=0.031[/tex]
We can conclude that [tex]f(-7)=128[/tex] and [tex]f(5)=0.031[/tex]
