Give a possible formula for the function below. let a = (-1, 32) and b = (1, 8). (note: use the general exponential function.)

Step-by-step explanation:

Let the equation is  ............ (1)

Putting the values of point A in equation (1) as follows.

                  ........... (2)

Putting the values of point B in equation (1) as follows.

                  ................ (3)

Now, divide the equation (2) by equation (3) as follows.

Cancelling out with common factors, the equation will be written as follows.

             4 =

             4 =

             4 =

or,          

Taking square root on both the side, we get

               b = ±

Case 1. Place the value of b = + in equation (3) as follows.

                      a = 16

Case 2. Place the value of b = - in equation (3) as follows.

                  8 =

                      a = - 16

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!