Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 3.9, Problem 6OE
To determine

To find: The missing entries by value of linear function f .

Expert Solution & Answer
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Answer to Problem 6OE

Therefore, the equation of linear function f(x)=3x1 and f(0)=4,f(3)=5 .

Explanation of Solution

Given information: The function f at x=1,x=2 ,

  f(1)=1,f(2)=2

Formula used: For calculation of equation of linear function,

  f(x)=mx+bwhere m is slope and b is yintercept.

Calculation: To calculate the equation of function using function f at x=1 and fat x=2 ,

  Putting value of f(1)in genral form,f(x)=mx+bNow, at x=1f(1)=m×(1)+b1=m+bb=1+mPutting value of f(2)in genral form,f(x)=mx+bNow, at x=2f(2)=m×(2)+b2=2m+bPutting value of b2=2m+(1+m)m=3Now,b=1+mb=4f(x)=3x4

  At x=0,f(0)=3×04f(0)=4At x=3,f(3)=3×(3)4f(3)=5

Therefore, the equation of linear function f(x)=3x1 and f(0)=4,f(3)=5 .

Chapter 3 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 3.1 - Prob. 11OECh. 3.1 - Prob. 1WECh. 3.1 - Prob. 2WECh. 3.1 - Prob. 3WECh. 3.1 - Prob. 4WECh. 3.1 - Prob. 5WECh. 3.1 - Prob. 6WECh. 3.1 - Prob. 7WECh. 3.1 - Prob. 8WECh. 3.1 - Prob. 9WECh. 3.1 - Prob. 10WECh. 3.1 - Prob. 11WECh. 3.1 - Prob. 12WECh. 3.1 - Prob. 13WECh. 3.1 - Prob. 14WECh. 3.1 - Prob. 15WECh. 3.1 - Prob. 16WECh. 3.1 - Prob. 17WECh. 3.1 - Prob. 18WECh. 3.1 - Prob. 19WECh. 3.1 - Prob. 20WECh. 3.1 - Prob. 21WECh. 3.1 - Prob. 22WECh. 3.1 - Prob. 23WECh. 3.1 - Prob. 24WECh. 3.1 - Prob. 25WECh. 3.1 - Prob. 26WECh. 3.1 - Prob. 27WECh. 3.1 - Prob. 28WECh. 3.1 - Prob. 29WECh. 3.1 - Prob. 30WECh. 3.1 - Prob. 31WECh. 3.1 - Prob. 32WECh. 3.1 - Prob. 33WECh. 3.1 - Prob. 34WECh. 3.1 - Prob. 35WECh. 3.1 - Prob. 36WECh. 3.1 - Prob. 37WECh. 3.1 - Prob. 38WECh. 3.1 - Prob. 39WECh. 3.1 - Prob. 40WECh. 3.1 - Prob. 1PCh. 3.1 - Prob. 2PCh. 3.1 - Prob. 3PCh. 3.1 - Prob. 4PCh. 3.1 - Prob. 5PCh. 3.1 - Prob. 6PCh. 3.1 - Prob. 7PCh. 3.1 - Prob. 8PCh. 3.1 - Prob. 9PCh. 3.1 - Prob. 10PCh. 3.1 - 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