Question

Please help 25 points

Answer 1

(-1,5)

(3, 1/125)

Explanation:

g(x) = (1/5) ^x

Lets check the points

(1,0)

0 = (1/5) ^1

0 = 1/5 False this is not on the graph

(-1,5)

5 = (1/5) ^ -1

Remember negative exponents flip the fraction inside the parentheses

5 = 5/1 True this is on the graph

(3, 1/125)

1/125 = (1/5)^ 3

1/125 = 1^3/ 5^3

1/125 = 1/125 true this is on the graph

(-2,1/25)

1/25 = (1/5) ^-2

Remember negative exponents flip the fraction inside the parentheses

1/25 = 5^2/1^2

1/25 = 25 false this is not on the graph