Coordinate Algebra Unit 3

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Presentation transcript:

Coordinate Algebra Unit 3 Rate of Change Coordinate Algebra Unit 3

Standard F.IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.

Objectives SWBAT calculate and interpret the average rate of change given the equation of a linear function SWBAT calculate and interpret the average rate of change given a table for a linear function

Rate of Change What is “Rate of Change?” The incline of a function Describes the steepness of a line Essentially the SLOPE. Equation :

Rate of Change with Points Example 1: Find the rate of change given the following points: (2,3) and (1,4) (x1, y1) (x2, y2)

Rate of Change with Functions Example 1: Find the average rate of change for f(x) = ½x + 4 from interval [0,3]

Guided Practice (5 minutes)

Rate of Change with Tables Example 1: Find the average rate of change between 2 and 3 x f(x) -1 -10 0 -4 10 22 6 40

Guided Practice (5 minutes)

Independent Practice

Exit Ticket Find the rate of change given the function f(x) = x2 – 2x + 4 on the interval [0,4] 2. Given the table, find the rate of change on the interval [-8, 8]