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Dialogue: 0,0:00:00.00,0:00:04.20,Default,,0000,0000,0000,,So we talked a lot about domain and range in this lesson so far, but I want to
Dialogue: 0,0:00:04.20,0:00:08.75,Default,,0000,0000,0000,,give you a slightly different perspective on how to visualize them, and how to
Dialogue: 0,0:00:08.75,0:00:13.30,Default,,0000,0000,0000,,think about values of the domain through the relation of a function mapping to
Dialogue: 0,0:00:13.30,0:00:17.80,Default,,0000,0000,0000,,values in the range. So lets say we have some function f and for three to our
Dialogue: 0,0:00:17.80,0:00:22.27,Default,,0000,0000,0000,,values a, b and c, constants not exactly sure what they are, we get outputs of
Dialogue: 0,0:00:22.27,0:00:27.69,Default,,0000,0000,0000,,one, four, and five. We know that if we graph this, we would pair the
Dialogue: 0,0:00:27.69,0:00:33.18,Default,,0000,0000,0000,,coordinates a and 1, b and 4, and c and 5. And what the function is really doing
Dialogue: 0,0:00:33.18,0:00:37.21,Default,,0000,0000,0000,,is taking this input value, playing with it somehow, and spitting out this
Dialogue: 0,0:00:37.21,0:00:41.79,Default,,0000,0000,0000,,output. So you could visualize this by writing out values of the domain over
Dialogue: 0,0:00:41.79,0:00:46.54,Default,,0000,0000,0000,,here, and then showing that via the function, they get paired with these values
Dialogue: 0,0:00:46.54,0:00:51.23,Default,,0000,0000,0000,,in the range. Let's say actually that for this particular function f, a, b and c
Dialogue: 0,0:00:51.23,0:00:56.27,Default,,0000,0000,0000,,are the only values in the domain. So if the entire domain of this function is
Dialogue: 0,0:00:56.27,0:01:01.35,Default,,0000,0000,0000,,just the set a, b, c, what values are in the range? Please separate any values
Dialogue: 0,0:01:01.35,0:01:03.26,Default,,0000,0000,0000,,that are in the range by commas.