Answer:
The exponential function will be
Step-by-step explanation:
Let the exponential function is given by ............ (1)
Now, ordered pairs (2,20) and (3,40) are the solution of the above exponential function. So, they will satisfy the equation.
Now, for the ordered pair (2,20) putting f(2) = 20, we get
............. (2)
Again, for the ordered pair (3,40) putting f(3) = 40, we get
............. (3)
Now, from equations (3) and equation (2) we get,
2 = b
⇒ b = 2.
Now, from equation (2) we get,
⇒ a = 5
Therefore, the exponential function will be
(Answer)