Which of these functions could have the graph shown below?

Answer:
A
Step-by-step explanation:
The graph appears to show an exponential function with rapid growth as x increases. Let's examine the options:
- Option A:
This is an exponential function with base e and a scaling factor of 20. This matches the behavior of the graph, which shows steady exponential growth.
- Option B:
This is also an exponential function, but the rate of growth is extremely fast due to the 20x term. This seems too rapid compared to the graph shown.
- Option C:
This is another exponential function with a base of 20 and a multiplying factor of 20. It would grow very quickly but doesn't quite match the moderate rate of growth observed in the graph.
- Option D:
This is an exponential function without the 20 multiplying factor. Although it has a similar shape, the scale seems off compared to the graph.
Option A is the best match for the graph, as it represents exponential growth with a scale that fits the graph’s behavior.