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The graphs above visually represent the functions \( f(x) = 1.3^x - 0.5 \) and \( g(x) = \log(x+3) + 4 \). As observed:

- **Graph of \( f(x) \)** shows an exponential growth as \( x \) increases, which is typical for exponential functions.
- **Graph of \( g(x) \)** shows a logarithmic increase, more gradual and slowing as \( x \) increases, which is characteristic of logarithmic functions.

Would you like more detailed analysis on these functions or any specific features of the graphs?

### Further Questions:
1. How do the base values affect the growth in \( f(x) \) and \( g(x) \)?
2. What would the graphs look like if different base values were used for \( f(x) \) and \( g(x) \)?
3. How would adding a constant term to either function change the graph?
4. Can these functions intersect, and if so, at which \( x \) value might this occur?
5. What are the implications of these functions in real-world scenarios?

### Tip:
Understanding the basic characteristics of exponential and logarithmic functions can significantly help in predicting their behavior and applications in different contexts.

Consider the functions f(x) = 1.3^x - 0.5 representing the increase in the price of an asset over time, and g(x) = log(x+3) + 4 representing the depreciation of the same asset's value over time. You are asked to: a) Plot the graph of f(x). b) Plot the graph of g(x).

Learn how to graph exponential and logarithmic functions, f(x) = 1.3^x - 0.5 and g(x) = log(x+3) + 4, which represent asset price increase and depreciation over time. Explore key mathematical concepts suitable for Grades 9-12 students.

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