[Script Info]
Title:
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.00,0:00:02.97,Default,,0000,0000,0000,,Now you may not have heard the term constant function before,
Dialogue: 0,0:00:02.97,0:00:08.78,Default,,0000,0000,0000,,but intuitively we think that this is a function that has a constant value, at all values of the input.
Dialogue: 0,0:00:08.78,0:00:16.06,Default,,0000,0000,0000,,That's what graph A is.\NIt's of the form y equals some constant, c, let's say.
Dialogue: 0,0:00:16.06,0:00:19.88,Default,,0000,0000,0000,,Actually in this case it looks more like 3,\Nso we'll just write that.
Dialogue: 0,0:00:19.88,0:00:23.23,Default,,0000,0000,0000,,Linear functions you recognize.\NIt's graph C right here.
Dialogue: 0,0:00:23.23,0:00:26.15,Default,,0000,0000,0000,,The quadratic function is the parabola, graph F.
Dialogue: 0,0:00:26.15,0:00:32.74,Default,,0000,0000,0000,,The absolute value function, which you saw in a problem set earlier in the course, is graph B.
Dialogue: 0,0:00:32.74,0:00:36.39,Default,,0000,0000,0000,,The cubic function is graph D.
Dialogue: 0,0:00:36.39,0:00:42.11,Default,,0000,0000,0000,,And the square root function is graph E. \NNow you may not have seen this graph before either.
Dialogue: 0,0:00:42.11,0:00:46.06,Default,,0000,0000,0000,,But as always, you can test points picking values of x
Dialogue: 0,0:00:46.06,0:00:49.49,Default,,0000,0000,0000,,and then plugging them into the function to figure what the y coordinate should be.
Dialogue: 0,0:00:49.49,0:00:53.56,Default,,0000,0000,0000,,The graph of this function is\Ny equals the square root of x.
Dialogue: 0,0:00:53.56,0:00:57.67,Default,,0000,0000,0000,,So if x equals 0, y equals 0.\NIf x equals 1, y equals 1.
Dialogue: 0,0:00:57.67,0:01:06.42,Default,,0000,0000,0000,,And we can see that moving further over,\Nif x equals 5, y equals just over 2.