University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 1 - Section 1.1 - Functions and Their Graphs - Exercises - Page 12: 15

Answer

$\mathrm{Domain:}\ \ (-\infty,\infty)$

Work Step by Step

Given function: $\quad f(x)=5-2x$ The function will be defined for any value of $\ x\ $. So the domain would be $\ (-\infty,\infty).$ The given function is linear and represents a line. We need at least two points to graph it. Just pick 2 values of $\ x\ $ and find their corresponding $\ y\ $ values. Then draw the line through those two points. When $\ x=0,\ y=5-0=5$. So our first point is $\ (0,5)$ When $\ x=2,\ y=5-4=1$. So our first point is $\ (2,1)$ So, here is our graph.
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