Mathematics

Mathematics

Problem

Find the domain of the function ff whose graph is the horizontal line segment joining the points (−4,2)(-4,2) and (3,2)(3,2), including both endpoints. Express your answer in interval notation.
Intuitive explanation

The domain of a function is simply the set of all xx-values where the function is defined. Since this function's graph is a horizontal line segment, it exists only between the leftmost and rightmost points—there's no vertical spread to worry about. Just identify where the segment starts and ends along the xx-axis, then write that interval with brackets to show both endpoints are included.

Intuitive explanation

The domain of a function is simply the set of all xx-values where the function is defined. Since this function's graph is a horizontal line segment, it exists only between the leftmost and rightmost points—there's no vertical spread to worry about. Just identify where the segment starts and ends along the xx-axis, then write that interval with brackets to show both endpoints are included.

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