Question

Identify the key features of the exponential function of y= 2(3)x

a.Domain-
b.Range-
c.Y-Intercept
d.Asymptote-

Answer 1

The key features of the exponential function y= 2(3)^x include the domain, range, y-intercept, and asymptote.

Step-by-step explanation:

The key features of the exponential function y= 2(3)^x are:

1. Domain: The domain of the function is the set of all real numbers, as there are no restrictions on x.
2. Range: The range is the set of all positive real numbers, as 2(3)^x can never be negative or zero.
3. Y-Intercept: The y-intercept is the point where the graph of the function intersects the y-axis. In this case, when x=0, y=2(3)^0=2.
4. Asymptote: As x approaches negative infinity, the value of 2(3)^x approaches 0. Therefore, the x-axis acts as a horizontal asymptote.