Given the points (1, 12) and (-1, 0.75)
We will write the exponential function that includes the given points
Let the expression of the function will be as follows:
When x = 1, f = 12
so,
When x = -1, f = 0.75
So,
Solve the equations (1) and (2) to find (a) and (b)
Multiply the equations to eliminate (b)
Substitute with (a) into equation (1) to find (b)
So, the answer will be:
The equation of the exponential function will be as follows: