The step-by-step analysis leads to the conclusion that the domain of function \(m\) is \((-∞, ∞)\), indicating that the function is defined for any real number input.
1. Given Information:
- The function represented by the graph is
, which is a quadratic function.
- The graph extends infinitely in both directions without breaks or gaps.
2. Understanding Domain:
- The domain of a function is the set of all possible input values for the function.
3. Analysis of the Graph:
- The graph shows a quadratic function without any apparent restrictions on the x-values.
4. Conclusion:
- Since the graph represents a quadratic function
without any breaks or gaps, the function is defined for all real numbers.
5. Final Answer:
- The domain of function \(m\) is all real numbers, which can be represented as \((-∞, ∞)\).