https://file.aiquickdraw.com/mathbot/file/172684697173566q2vmuc.jpg

The graph represents part of an exponential function, and the question asks to write an inequality to represent the domain of the function based on the graph.

### Analyzing the Graph:
- The x-axis represents the domain (input values for \( x \)).
- The graph begins at \( x = -2 \) and continues indefinitely to the right.
- Therefore, the domain consists of all values of \( x \) that are greater than or equal to \( -2 \).

### Correct Inequality:
The inequality representing the domain is:
\[
x \geq -2
\]

The correct answer is:
- Use the box for "x"
- Use the "≥" symbol
- The number in the domain restriction is "-2"

Would you like more details or have any questions?

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Here are five questions that expand on this information:
1. How do you determine the range of an exponential function from its graph?
2. What is the general form of an exponential function?
3. Can an exponential function have a negative domain?
4. How does the asymptote of an exponential function affect its graph?
5. How would the graph change if the base of the exponential function were less than 1?

**Tip:** The domain of a function refers to all possible input values (x-values), while the range refers to all possible output values (y-values). Always examine the graph's horizontal and vertical extent carefully.

Write an inequality to represent the domain of the part shown in the exponential function graph.

This problem involves writing an inequality to represent the domain of an exponential function based on its graph. The domain begins at x = -2 and continues indefinitely to the right, leading to the inequality x ≥ -2. This problem is suitable for students in Grades 9-12.

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