College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.1 - Page 344: 47


domain$:\quad \mathbb{R}=(-\infty,\infty)$ range$:\quad (-\infty,-6] $

Work Step by Step

$f(x)= ax^{2}+b\mathrm{x}+c \quad $or $\quad f(x)=a(x-h)^{2}+k$ A quadratic function is defined for all real numbers, domain$:\quad \mathbb{R}=(-\infty,\infty)$ The graph of f(x) is a parabola. If the parabola opens down, the vertex is its maximum point. If the parabola opens up, the vertex is its minimum point. At $x=10$ the maximum of $f(x)$ is $-6$ (parabola opens down). (for all the other x, function values are less than $-6)$ The range of f is $(-\infty,-6] $
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