Question

Which is the graph of f(x) = 100(0.7)x?

Answer 1

where are the choices?

Answer 2

See the attachment below.

Explanation:

Given : The function
`f(x) = 100(0.7)^x`

To find : The graph of the given function

Solution :

Let y=f(x)

`y = 100(0.7)^x`

Put in x = 0 we get,

`y = 100(0.7)^x`

`y = 100(0.7)^0`

`y = 100(1)`

`y = 100`

So (x,y) = (0,100) is one point on this function curve

Put in x = 2 we get

`y = 100(0.7)^x`

`y = 100(0.7)^2`

`y = 100(0.49)`

`y = 49`

So (x,y) = (2,49) is another point on this curve

For the graph we can see the attached figure.