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?

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!