HELP PLS What are the domain and range of the exponential decay function?
A) Domain: All real numbers; Range: All real numbers
B) Domain: x< 3; Range: y> 3
C) Domain: All real numbers; Range: y> 3
D) Domain: x > 3; Range: All real numbers

Thus the domain is the real numbers and the range is y>3.

Option C)

Step-by-step explanation:

Domain and Range of Functions

To determine the domain and range of a function given on a graph, we use the vertical and horizontal line methods respectively.

The domain consists of all the values of x for which the function exists. We are told that the function is an exponential decay. Exponential functions without specified restrictions have a domain of all the real numbers.

Imagine a vertical line moving from minus infinite x to plus infinite. The line would always cross the graph at one point, thus the domain is all the real numbers.

Now for the range, imagine a horizontal line coming from y minus infinite. It won't get in contact with the graph until it approaches y=3. Once it goes up y=3, the line touches the graph in one point up to infinity y. The range is y>3.

Thus the domain is the real numbers and the range is y>3.

Option C)

36 is the final answer! : )