https://r2.erweima.ai/mathbot/image/17260597485852j7v67hq.jpg

To solve question 4 based on the image:

### 1. **Graph Interpretation:**
The graph shows a logarithmic function. It has the following properties:
- The function is **decreasing** (descendente) as \( x \) increases, which is typical of a logarithmic function with a base between 0 and 1.
- The function has an asymptote along the y-axis, confirming that it is a log function.

### 2. **Analyzing the Statements:**
The question asks us to analyze the graph and decide which statements are true:

1. **Essa função é decrescente** (The function is decreasing):
   - **True**. From the graph, we can observe that as \( x \) increases, the \( y \) value decreases, confirming that the function is decreasing.

2. **A base dessa função é igual a 2** (The base of the function is 2):
   - **False**. A logarithmic function with base 2 would decrease more slowly compared to the graph shown. Based on the graph's steepness and general behavior, the base is likely less than 1, possibly close to \( \frac{1}{2} \), but not equal to 2.

### 3. **Answer the Multiple-Choice:**
The question asks to mark the correct alternative:
- (a) Somente I é falsa (Only statement I is false).
- (b) Somente II é falsa (Only statement II is false).
- (c) Somente III é falsa (Only statement III is false).
- (d) Todas são verdadeiras (All statements are true).

Since statement I is true and statement II is false, the correct answer is **(b) Somente II é falsa**.

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Do you want further details on logarithmic functions or have any other questions?

### Related Questions:
1. How can we distinguish between logarithmic functions with different bases?
2. Why do logarithmic functions have vertical asymptotes?
3. How does the behavior of a logarithmic function change if the base is greater than 1?
4. Can a logarithmic function have a negative base?
5. How do we solve logarithmic equations with different bases?

### Tip:
Remember, the base of a logarithmic function dramatically affects its graph—functions with a base greater than 1 increase, while those with a base between 0 and 1 decrease.

Analyze the logarithmic function in the given graph and determine which statements are true.

Analyze a logarithmic function graph and assess the truth of statements regarding its behavior. Explore key concepts such as function behavior, logarithmic base, and graph interpretation.

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