-2 -1 0 1 2 fx 1/8 1/4 1/2 1 2 what is the initial value of the exponential function represented by the table

Step-by-step explanation:

The standard form of an exponential function is

, where a is the initial value and b is the growth factor.

You will always find your initial value at the y value where x = 0.  From your table where x = 0 and y = 1/2:

Any number or variable raised to the power of 0 = 1, therefore

which gives us an initial value, a, of 1/2.

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: