8.2.1

Understand the concept of function in real world and mathematical situations, and distinguish between linear and nonlinear functions.

8.2.1.1Understand that a function is a relationship between an independent variable and a dependent variable in which the value of the independent variable determines the value of the dependent variable. Use functional notation, such as f(x), to represent such relationships.8.2.1.2Use linear functions to represent relationships in which changing the input variable by some amount leads to a change in the output variable that is a constant times that amount.8.2.1.3Understand that a function is linear if it can be expressed in the form f (x)= mx+b or if its graph is a straight line.8.2.1.4Understand that an arithmetic sequence is a linear function that can be expressed in the form f (x)= mx+b , where x = 0, 1, 2, 3,....8.2.1.5Understand that a geometric sequence is a non-linear function that can be expressed in the form f (x)= ab^x , where x = 0, 1, 2, 3,....
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