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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