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The domain of a quadratic function, which represents the set of all possible x-values for which the function is defined, is always all real numbers. This is because a quadratic function, defined as \( f(x) = ax^2 + bx + c \), can take any real value for \( x \) and will still produce a real result. The graph in the image further confirms this as it shows a continuous curve without any breaks or restrictions along the x-axis.

Therefore, the domain of the quadratic function depicted in the graph is all real numbers.

Would you like more details on this topic or have any other questions? Here are some further questions and a tip:

1. What is the range of the quadratic function shown in the image?
2. How do you find the vertex of a quadratic function from its graph?
3. What determines the direction (upwards or downwards) of a quadratic graph?
4. Can the domain of any function ever be restricted?
5. How can transformations of a quadratic function affect its graph?

**Tip:** When determining the domain of more complex functions, always consider factors such as division by zero or square roots of negative numbers, as these will impose restrictions on the domain.

What is the domain of this quadratic function?

Learn how to determine the domain of a quadratic function based on its graph. This problem explores key algebraic concepts like quadratic functions and their domains. Suitable for students in Grades 8-10.

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