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LINEAR AND NONLINEAR PROGRESSIONS

Linear progressions are sequences that are a list of numbers whose change is found by adding or subtracting the same constant each time. The graph of a linear progression makes a “straight line” as the change is the same from term to term. Nonlinear progressions are sequences that are lists of numbers that are found by multiplying or dividing by the same constant each time or by adding or subtracting different constants. The graph of a nonlinear progression can be a curved line or a crooked line as the change varies from term to term.

FUNCTIONS, GRAPHING FUNCTIONS, AND LINEAR EQUATIONS

A function is the relationship between two variables where the input variable yields exactly one output value determined through the function rule. We will examine input values, function rules, and output values organized in a table.

If we write ordered pairs from the input and output values of functions, we can graph functions in the coordinate plane. The graph of a linear function, also called a linear equation, is a straight line. We will plot ordered pairs to find the straight line on which the points of a linear equation are located.

Sequences