College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 5, Systems of Equations and Inequalities - Section 5.5 - Systems of Inequalities - 5.5 Exercises - Page 475: 30

Answer

$y\geq x^3-4x$

Work Step by Step

According to the given graph and the equation, our inequality is: $y\geq x^3-4x$. This includes the shaded area and the function itself (because we have an equals sign). Notice that we used a "greater-than or equals" sign to shade the graph above the curve (up) as well as the function itself. We confirm the inequality by plugging in $(0,0)$, which gives us: $0\geq0^3-4(0)$ This is a true statement, as expected since the point $(0,0)$ is included in the inequality. So the inequality works.
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