3.3 Interpret Rates of Change of Quadratic Functions p. 69

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3.3 Interpret Rates of Change of Quadratic Functions p. 69

Vocabulary rate of change: the speed at which a variable changes over a specific period of time Ex:Cell Phones ( cost per ______) Cars (miles per ______) Filling a shark tank (liters per _____) In a graph…….This is known as SLOPE

GOAL Use intervals of increase and decrease to understand average rates of change of quadratic functions.

Intervals of Increase Functions are continuous from left to right, if from left to right the function is going up, the function is increasing. Intervals of Decrease Functions are continuous from left to right, if from left to right the function is going down, the function is decreasing.

Polynomial Functions and Their Graphs Local Maximum Increasing Function Decreasing Function Local Minimum

Ex. 1: Identify Intervals of Increase & Decrease Graph the function. Identify the intervals over which the graph increases and decreases. a) y = -x2 – 6x – 4

Guided Practice p. 69 #1, 2, 4, 6

Ex. 2: Calculate an Average Rate of Change Calculate the average rate of change of the function y = -0.5x2 + 4 on the given interval. a) b)

Ex. 2: Calculate an Average Rate of Change Calculate the average rate of change of the function y = -0.5x2 + 4 on the given interval. c)

Guided Practice p. 70 #7

Ex. 3: Compare Average Rates of Change Compare the average rates of change of y = x2 and y = x on .

Guided Practice p. 71 #10

Homework Pg. 72, 1 – 15 all Pg. 73, 1 – 7 all Take Home Quiz 3.1 – 3.2