Which statement is true about y = 2^x + 4?
A; It represents a function only.
B; It represents both a relation and a function.
C; It represents neither a relation nor a function.
D; It represents a relation only.

The correct answer is **B: It represents both a relation and a function**.

### Explanation:

- A **relation** is any set of ordered pairs, where the first element is from the domain (input) and the second is from the range (output).
- A **function** is a specific type of relation where each input (x-value) is paired with exactly one output (y-value).

The equation \( y = 2^x + 4 \) assigns a unique \( y \)-value to each \( x \)-value. Therefore, it satisfies the definition of both a relation and a function.

Would you like more details or have any further questions?

Here are 5 related questions:
1. What is the difference between a relation and a function in general?
2. How can you tell if a given equation represents a function?
3. What is the range of the function \( y = 2^x + 4 \)?
4. How does the graph of \( y = 2^x + 4 \) look?
5. What kind of transformations occur when comparing \( y = 2^x \) and \( y = 2^x + 4 \)?

**Tip:** To test if an equation represents a function, use the vertical line test on its graph. If a vertical line crosses the graph at only one point for all x-values, it is a function.

Which statement is true about y = 2^x + 4? A: It represents a function only. B: It represents both a relation and a function. C: It represents neither a relation nor a function. D: It represents a relation only.

Explore the exponential function y = 2^x + 4 and understand why it represents both a relation and a function. Learn the key concepts of relations and functions, and how to apply the vertical line test to determine if an equation is a function. Suitable for Grades 9-12 students.

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