## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 2 - 2.4 - A Library of Parent Functions - 2.4 Exercises - Page 203: 11

#### Answer

a) $f(x)=-2x+6$ b) see graph

#### Work Step by Step

We are given the linear function: $f(1)=4$ $f(0)=6$ a) Determine the slope of the line using the points $(0,6),(1,4)$: $m=\dfrac{4-6}{1-0}=-2$ Determine the line's equation using the slope and one of the points: $y-6=-2(x-0)$ $y=-2x+6$ $f(x)=-2x+6$ b) Graph the function using the two points:

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