Use the table of values to write the exponential function

The required function is .

Step-by-step explanation:

The general exponential function is

          .... (1)

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

From the given table it is clear that the function passes through the points (0,0.5) and (-1,2). It means the equation of function must be satisfied by the points (0,0.5) and (-1,2).

Substitute f(x)=0.5 and x=0 in equation (1), to find the value of a.

The value of a is 0.5.

Substitute a=0.5, f(x)=2 and x=-1 in equation (1), to find the value of b.

Divide both sides by 2.

The value of b is 0.25.

Substitute a=0.5 and b=0.25 in equation (1).

Therefore the required function is .

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation:

answer. d.289 hope that