The question is asking for the characteristics that best describe the exponential graph. The answer choices are:

• both increasing and decreasing
• decreasing
• increasing
• constant

Exponential graphs can have two general forms:

1. Exponential Growth: This occurs when the base of the exponential function is greater than 1 (e.g., $y = a \cdot b^x$, where $b > 1$). The graph in this case is increasing and rises quickly as $x$ increases.

2. Exponential Decay: This happens when the base is between 0 and 1 (e.g., $y = a \cdot b^x$, where $0 < b < 1$). In this case, the graph is decreasing, falling rapidly as $x$ increases.

Since the problem refers to an "exponential graph" without specifying if it is growth or decay, it is generally safe to say that an exponential graph is either increasing or decreasing but not both, and it is not constant.

Conclusion:

• The correct answer is either "increasing" or "decreasing", depending on the base of the exponential function. Since there's no context on whether this refers to growth or decay, "increasing" is a common default for exponential growth.

Would you like more details on exponential functions? Let me know!

Here are 5 related questions you might find useful:

1. How can you determine if an exponential function represents growth or decay?
2. What is the general equation of an exponential function?
3. What are the key differences between exponential and linear functions?
4. How does the horizontal asymptote behave in exponential functions?
5. What real-world phenomena can be modeled by exponential functions?

Tip: To visualize exponential growth or decay, graphing tools or graphing calculators can help you see how quickly the function increases or decreases depending on the base.