Question

The exponential function g, whose graph is given below, can be written as g(x)=a•b^x

Answer 1

8⋅(1/4)^x

Explanation:

trust me thats the answer

Answer 2

g(x) =
`8((1)/(2))^x`

Explanation:

Let the equation of the graphed exponential function is,

g(x) =
`a(b)^x`

Two points (0, 8) and (1, 2) lie on this graph.

For (0, 8),

g(0) =
`a(b)^0`

8 = a(1)

a = 8

For other point (1, 2),

g(1) =
`a(b)^1`

2 = ab

2 = 8b

b =
`(2)/(8)`

b =
`(1)/(4)`

Therefore, given exponential function wiil be,

g(x) =
`8((1)/(2))^x`