Answer:
[tex]a=1\\b=\frac{1}{16}\\\\c=\frac{1}{256}\\\\d=1\\e=\frac{4}{9}\\\\f=\frac{16}{81}[/tex]
Step-by-step explanation:
For the orange table:
Substitute the corresponding values of x into the function [tex]f(x)=4^{-x}[/tex], then:
For a:
x=0
[tex]f(0)=4^0=1[/tex]
For b:
x=2
[tex]f(x)=4^{-2}=\frac{1}{16}[/tex]
For c:
x=4
[tex]f(x)=4^{-4}=\frac{1}{256}[/tex]
For the blue table:
Substitute the corresponding values of x into the function [tex]g(x)=(\frac{2}{3})^x[/tex], then:
For d:
x=0
[tex]g(x)=(\frac{2}{3})^0=1[/tex]
For e:
x=2
[tex]g(x)=(\frac{2}{3})^2=\frac{4}{9}[/tex]
For f:
x=4
[tex]g(x)=(\frac{2}{3})^4=\frac{16}{81}[/tex]
