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Course: MAP Recommended Practice>Unit 19

Lesson 25: Linear and nonlinear functions

Linear & nonlinear functions: table

Learn to determine if a table of values represents a linear function. Created by Sal Khan.

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• what if the table can be both linear and nonlinear?. thank you
• There are only two possibilities there. Either the data can be plotted as a line, or it can not. It can not be both. They are mutually exclusive definitions.
• i really wonder why math chose y and x
• Because y and x are fairly uncommon letters, I think.
• where is this used in real life?
• Marketing,stock prices,net income,etc
• If anyone is still watching this, why does he say "in respect too"??
• It's just a way of speaking. You know, some people like to talk differently, for example, ppl who say 'like' a lot or something.
• do you have to graph to figure out if the equation is linear or nonlinear?
• That is a great question. The answer is no. This is how you figure it out. Let a = any number. If you can simplify the equation to
y = ax, it is a linear equation.
• what does it mean when there is a curved line on the graph
• I don't understand what the triangle that Sal puts next to x and y means. Can someone help me? I have a quiz about this tomorrow and I'm very confused.
• The triangle is the Greek letter "Delta" which is just short for "Change in".
• what is the difference between a non linear fuction and a linear function
• A linear function has a constant rate of change while a non-linear function does not.
• Does the triangle stand for "change"? Or so called "delta"?