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The question asks, "Which statement is true about the equation \(y = 2^x + 4\)?"

Let's analyze the given equation:

### Equation: \( y = 2^x + 4 \)

1. **Function vs. Relation**:
   - A **function** is a relation where each input (value of \( x \)) has exactly one output (value of \( y \)).
   - A **relation** is a set of ordered pairs, but it does not necessarily need to satisfy the condition of a function.

### Analyzing \( y = 2^x + 4 \):

- The equation \( y = 2^x + 4 \) represents an **exponential function** because for every value of \( x \), there is exactly one corresponding value of \( y \).
- Therefore, it is **not just a relation**, but specifically a function.

### Evaluating the Answer Choices:

- **A.** "It represents neither a relation nor a function."  
  This is incorrect because \( y = 2^x + 4 \) does represent a function.
  
- **B.** "It represents both a relation and a function."  
  This is correct because a function is a specific type of relation where each input corresponds to exactly one output.
  
- **C.** "It represents a function only."  
  This is also correct, but not as precise as B, since every function is inherently a relation.
  
- **D.** "It represents a relation only."  
  This is incorrect, as it overlooks the fact that the equation also satisfies the conditions of a function.

### Correct Answer:
The correct answer is **B**: "It represents both a relation and a function."

Would you like more details or have any questions about this?

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**Related Questions:**

1. What is the difference between a function and a relation?
2. Can an equation represent a relation that is not a function?
3. What is an example of an equation that is a relation but not a function?
4. How do you determine if an equation represents a function?
5. What types of equations commonly represent functions?

**Tip:** Remember, every function is a relation, but not every relation is a function!

Which statement is true about the equation y = 2^x + 4?

Explore the properties of the equation y = 2^x + 4 to understand its representation as both a relation and a function. This problem focuses on core concepts in algebra, suitable for students in Grades 9-12.

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