How To Find The Domain Of A Graph

Finding the Domain of a Graph

The domain of a graph represents all potential input values, typically displayed on the x-axis. Here's a simple guide to determine a graph's domain:

Step 1: Identify Input Values

Examine the graph. Note the furthest points on the left and right that the graph reaches.

Step 2: Check for Restrictions

Some graphs may have domain restrictions. For instance, if the graph represents a function with an even root, exclude any real numbers that result in a negative number in the radicand.

Step 3: Write the Domain

The domain is typically written in interval notation. For example, if the graph extends from -5 to the right without bound, the domain is [-5, ∞).

Note

If the graph continues beyond the visible portion, the domain may be larger than the visible values.

For a more comprehensive guide, consider watching the video tutorial. It provides a detailed, step-by-step guide on how to find the domain and range from a graph.

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