For the given function, compute the missing values in the following table.

f(x) = 8x

i got the negatives wrong, but I know how to solve for it. Is there a reason it is wrong?

-3: -1/512
-2: -1/64
-1: -1/8
(^These were wrong, but I don't know how to solve it)
0: 1
1: 8
2: 64
3: 512
(^These are correct.)

How should I approach the problem of finding negative exponential values?

Thank you

2 answers

f ( x ) = 8 ^ x

x = 0

8 ^ 0 = 1

x = 1

8 ^ 1 = 8

x = 2

8 ^ 2 = 64

x = 3

8 ^ 3 = 512
x = - 1

8 ^ - 1 = 1 / 8

x = - 2

8 ^ - 2 = 1 / 8 ^ 2 = 1 / 64

x = - 3

8 ^ - 3 = 1 / 8 ^ 3 = 1 / 512