Question

Enter in equation for the function includes the points. Give your answer in the form a(b to the x power). In the event that a =1, give your answer in the form B to the X power. (-2 2/5) and (-1,2) The equation is f(x)=?

Answer 1

`f(x) = 10\cdot 5^(x)`

Explanation:

The form of the fit curve is:

`y = A\cdot B^(x)`

Coefficient are found by replacing x and y by known values:

`(2)/(5)= A\cdot B^(-2)`

`2 = A\cdot B^(-1)`

`(2)/(5)\cdot B^(2) = 2\cdot B`

`B =5`

`A = 10`

The equation is:

`f(x) = 10\cdot 5^(x)`