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Identifying Domain and Range - Continuous

Move points A and B to see how the domain and range change as the function f changes. The domain is shown in blue along the x-axis from point A to point B. The range is shown in red along the y-axis. When you are ready, reason through the examples toward the bottom of the page to help ensure you understand domain and range!

Example #1

Question: Move point A to -4 and point B to 4. What are the domain and range in inequality and interval notation? Answer: The domain is from -4 to 4, which can be written as -4≤x≤4 or [-4, 4]. The range is approximately -1.8 (or something close as we don't know the exact value) to 3, which can be written as -1.8≤y≤3 or [-1.8, 3].

Example #2

Question: Move point A to 1 and point B to 5. What are the domain and range in inequality and interval notation? Answer: The domain is from -1 to 5, which can be written as -1≤x≤5 or [-1, 5]. The range is 0 to 2, which can be written as 0≤y≤2 or [0, 2].