Question

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 12.5, 2.5, 0.5, 0.1, 0.02. Which exponential function is represented by the table?

Answer 1

`f(x)=0.5(0.2)^x`

Step-by-step explanation:

Exponential function can be in this form :
`f(x)=ab^x`

To find a and b we can use any two pairs from the table.

We can use (0, 0.5) and (1,0.1)

`0.5=a*b^0\\a=0.5`

let's find b

`0.1=0.5b^1\\b=0.2`