Question

Complete the tables of values.

Answer 1

`a=1\\b=(1)/(16)\\\\c=(1)/(256)\\\\d=1\\e=(4)/(9)\\\\f=(16)/(81)`

Explanation:

For the orange table:

Substitute the corresponding values of x into the function
`f(x)=4^(-x)`, then:

For a:

x=0

`f(0)=4^0=1`

For b:

x=2

`f(x)=4^(-2)=(1)/(16)`

For c:

x=4

`f(x)=4^(-4)=(1)/(256)`

For the blue table:

Substitute the corresponding values of x into the function
`g(x)=((2)/(3))^x`, then:

For d:

x=0

`g(x)=((2)/(3))^0=1`

For e:

x=2

`g(x)=((2)/(3))^2=(4)/(9)`

For f:

x=4

`g(x)=((2)/(3))^4=(16)/(81)`