Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 5 - Exponents, Polynomials and Functions - 5-1 Polynomial Functions - Practice and Problem-Solving Exercises - Page 285: 36

Answer

See the explanation

Work Step by Step

$y=-4x^3-5x^2$ Because the highest exponent is $3$, which is odd, and the leading coefficient is $-4$, negative, the end behavior of the graph is up, and down. When you graph this equation, the graph is a backward S shape. The turning points of the graph are $(0,0)$ and $(-1,-1)$, the intervals are: negative infinity to $0$, $0$ to $-1$, $-1$ to positive infinity.
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