Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 4 - Quadratic Functions - 4.1 Quadratic Functions and Parabolas - 4.1 Exercises - Page 300: 19

Answer

A) $(-2,-20)$ B) $(x>-2)$ C) $x<-2$ D) $(-1,0),\ (9,0)$ E) $(0,9)$ F) $f(-4)= 9.5$ G) $ x= -5$ and $ x= 3$

Work Step by Step

A) The graph shows that when $x=-1$, $y= 4$. The vertex of the function is at $(-2, -20)$. B) The function is increasing for $x> -1$. C)The function is decreasing for $x< -1$. D) The graph does not cross the $x$-axis. It has no $x$ intercept. E) When $x= 0$, $y= 5$. The vertical intercept is at $(0,5)$. F) We see that $f(-4) = 9.5 $. G) We see that $f(x) = -10$ for $ x= -5$ and $ x= 3$.
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