8.4 Rules For Linear Functions

Chapter 8 Section 4 Writing Rules for Linear Functions February 10 th , 2009

Writing Rules from Words ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Function Rule y = 3 x + 7 f ( x ) = 3 x + 7 output input Read it as “f of x is equal to the product of 3 and x, plus 7”. The Function rule is the Equation that you come up with to compare the Input and the Output.

Real World ,[object Object],[object Object],[object Object]

Function, Part A: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Function, Part B: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],S, here, is the input, like f(x). You can make your function notation different from f of x. Here we used t of s. t is dependant on s. So, s can change.

Try This One: ,[object Object],[object Object],[object Object]

Writing Rules from Tables or Graphs ,[object Object],[object Object],[object Object],[object Object]

Write a rule for the linear function in the table. ,[object Object],[object Object],[object Object],[object Object],[object Object],13 4 7 2 1 0 -5 -2 f ( x ) x

Write the rule for each linear function. f(x) = 2x, because when x = 0, y = 0. f(x) = -2x, because when x = 0, y = 0. f(x) = 2x + 1, because when x = 0, y = 1. 4 2 2 1 0 0 -2 -1 f ( x ) x -12 6 -6 3 0 0 6 -3 f ( x ) x 1 0 -3 -2 -7 -4 -11 -6 f ( x ) x

Use y=mx+b to Find Rules for Graphs. ,[object Object],Points (0, -1) and (4, 1) Find Slope First. 2/4 or ½ = m Y-Intercepts at? (0, -1) = b = -1 The rule is f(x) = ½x + -1.

Find the Rule ,[object Object],[object Object],[object Object],[object Object],[object Object]

Assignment #4: Pages 406-407: 1-20 all.

8.4 Rules For Linear Functions

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8.4 Rules For Linear Functions