L7 · Domain and Range: Descriptions, Lists, Set-Builder, Interval Notation
“I can state the domain and range of a linear relation - from a graph description, a set of pairs, or a context - as a description, a list, in set-builder notation, or in interval notation, and I can apply the restrictions a context imposes.”
A graph is the straight segment from (1, 2) to (5, 10), endpoints included. The domain is every x the segment touches: from 1 to 5. Three ways to say it - description: "all real numbers from 1 to 5"; set-builder: {x | 1 <= x <= 5, x in R}; interval: [1, 5]. The range is every y the segment touches: {y | 2 <= y <= 10, y in R}, i.e. [2, 10]. For a set of ordered pairs, the domain is the list of first coordinates and the range the list of second coordinates - with NO repeats in a list.
The segment's domain starts at 1, not 0, because...
A segment runs from (0, 3) to (4, 11). Give domain and range in interval notation. -> Domain [0, 4]; range [3, 11]
"For the segment from (-2, 1) to (3, 6): domain in set-builder is {x | ___}, range in interval notation is ___." -> {x | -2 <= x <= 3, x in R}; [1, 6]
10 scored questions with a 3-rung hint ladder. Mastery needs 8/10 plus both gate questions.