Find the equation for the exponential function f (x) = b .aˣ that passes through the points (0,6) and (1,11).

Step-by-step explanation:

We have two points (0,6) and (1,11) and to find the exponential function that passes through that points we have to substitute them in the equation .

First we are going to replace the point (0,6) in the equation, where x=0 and y=6.

Remember:

We got the value of b and it's 6. The equation now is:

Finally we have to replace the point (1,11),

Remember:

Isolating the variable a:

We have then, a=1.83 and b=6. Replacing a and b in

We obtain: