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

Answer:

$f(x) = 10\cdot 5^{x}$

Step-by-step explanation:

The form of the fit curve is:

$y = A\cdot B^{x}$

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

$\frac{2}{5}= A\cdot B^{-2}$

$2 = A\cdot B^{-1}$

$\frac{2}{5}\cdot B^{2} = 2\cdot B$

$B =5$

$A = 10$

The equation is:

$f(x) = 10\cdot 5^{x}$