Question

Instructions: Fill in the table of values for the exponential function. Insert all answers as fractions, when applicable.

Answer 1

Given,

The expression is:

`y=-2((1)/(2))^x`

Required:

The value of y at x = -2, -1, 0, 1, 2.

The value of y at x = -2.

`y=-2((1)/(2))^(-2)=-2*(2)^2=-2*4=-8`

The value of y at x = -1.

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

The value of y at x = 0.

`y=-2((1)/(2))^0=-2*(2)^0=-2*1=-2`

The value of y at x = 1.

`y=-2((1)/(2))^1=-2*(1)/(2)=-1`

The value of y at x = 2.

`y=-2((1)/(2))^2=-2*(1)/(4)=-(1)/(2)=-0.5`

The table for the different value of the function:

x y

-2