Silent Do Now (5 minutes) *Before you begin, take out your homework!

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Presentation transcript:

Silent Do Now (5 minutes) *Before you begin, take out your homework! Construct a function to model the relationship. X Y -4 3 -2 7 0 11

Agenda Review Do Now/Homework Lesson on Characteristics of Functions Exit Ticket

Group Practice with Functions

Characteristics of Functions

Intercepts (aka “zeros”) x-intercept – the point at which the line intersects the x-axis at (x, 0) y-intercept – the point at which the line intersects the y-axis at (0, y)

Example 1: Finding the Zeros

Example 2: Find the y-intercept

Increasing/Decreasing Behavior Move left to right If your finger is moving UP then the function is increasing If your finger is moving DOWN then the function is decreasing If your finder isn’t moving up or down, than your function is CONSTANT

Example 1: Are the functions increasing, decreasing or neither?

Rate of Change Rate of Change is the average amount of change in her y-values. Rate of Change is essentially the SLOPE.

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

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

Guided Practice

Independent Classwork If you finish early – laptops!

Exit Ticket Find the rate of change given the function f(x) = x2 – 2x + 4 on the interval [0,4] 2. Given the table, write the function, graph the function, determine if it is increasing or decreasing, find the y and x intercepts and find the rate of change on the interval [-8, 8]