Question

Complete the missing parts of the table for the following function

Answer 1

At x=-2, y=16

At x=0, y=1

At x=3, y=1/64

Explanation:

As we know that the function is given by:

`y=((1)/(4))^(x)`

The table represents the output values on given inputs.

So, when the input is -2:

`y=((1)/(4) )^(-2)\\y= ((1)^(-2))/((4)^(-2))`

To convert the power in positive:

`y=((4)^(2))/((1)^(2) )\\y=16`

So the output for x=-2 is 16.

For x=0

`y=((1)/(4))^(0)`

Anything whose exponent is zero equals to 1, so y=1

For x=3, output is incomplete.

To complete,

`y=((1)/(4))^(3)\\y=((1)^(2) )/((4)^(2) )\\y=(1)/(64)` ..