Subjects algebra

Domain Graph 07Dd42

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1. The problem is to find the domain of a graph. 2. The domain of a graph is the set of all possible input values (usually $x$-values) for which the function is defined. 3. To find the domain, look at the graph and identify all $x$-values where the graph has points. 4. Important rules: - The domain includes all $x$-values where the graph exists. - If the graph extends infinitely left or right, the domain includes all real numbers in that direction. - If there are breaks, holes, or vertical asymptotes, exclude those $x$-values. 5. For example, if the graph starts at $x=1$ and continues to the right without end, the domain is $[1, \infty)$. 6. If the graph is a parabola opening upwards with vertex at $x=0$, the domain is all real numbers $(-\infty, \infty)$. 7. In summary, to find the domain from a graph, observe the horizontal extent of the graph and note any excluded points.