00:01
Okay, given a table of values, explain how you can determine if it is a function, if the function is linear, quadratic, or exponential.
00:10
All right, so a linear function when you get the table, and i'm going to just, i'm going to draw three different tables.
00:17
So say for linear, negative 2, negative 1, 0, 1, and 2, and 1, 3, 5, 7, 9.
00:30
Notice that my y values are increasing by 2.
00:35
So that's going to tell me that it's linear because the y values have a common difference of 2.
00:53
So whenever your first common difference, whenever your first y has a common difference of any number that's consistent, then it's going to be linear.
01:06
Okay.
01:07
Then we have exponential.
01:13
So exponential, i'm going to draw a table.
01:17
So i'll do the same x, negative 2, negative 1, 0, 1, and 2.
01:22
And then i'm going to do 1, 2, 4, 8, 16.
01:29
And notice how i'm multiplying by 2 for my y value to get to the next value.
01:36
So the y values have a common ratio, and that tells you that it's exponential.
01:53
For a quadratic, i'll draw my table again, same y value, i'm sorry, same x values.
02:04
And so my y value would be negative 1, negative 2, negative 1, 2, and then 7...