Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.9 Graph and Solve Quadratic Inequalities - 4.9 Exercises - Skill Practice - Page 304: 2

Answer

See below

Work Step by Step

Make a table of $x$ and $y$ values that contains locations where $y=x^2+6x-8$ to solve using a table. Intervals will be separated by when $y=0$. The answer is found in the intervals when y is negative. To solve by graphing, graph $y=x^2+6x-8$. The solution will be values of x where the graph is below the $x$ axis $(y=0)$. To solve algebraically, solve the equation $0=x^2+6x-8$ for $x$. Test an $x$ value in the equation to check if it is positive or negative in the intervals separated by those x values. The solutions are the negative intervals.
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