Question

Decide if the function is an exponential function. If it is, state the initial value and the base. y = - 1.8 ⋅ 6x

Answer 1

Answer:

It is an exponential function.

Initial value is - 1.8 and the base is 6.

Step-by-step explanation:

The function is given by $y = - 1.8 (6)^{x}$ and it is an exponential function as the general form of an exponential function is $y = a(b)^{x}$.

Here, if we put x = 0, the function becomes $y = - 1.8 (6)^{0} = - 1.8$.

Therefore, the initial value of the function is - 1.8.

In the general equation of exponential function $y = a(b)^{x}$, b is called the base and x is the exponent.

Therefore, in our case the base of the function $y = - 1.8 (6)^{x}$ is 6. (Answer)