Question 14 • Algebra: Concepts and Connections
To find where the graph crosses the x-axis, set f(x) = 0: ½x² + x − 9 = 0. Multiplying by 2 gives x² + 2x − 18 = 0, whose roots are x = −1 ± √19. The negative root is about −5.36, which lies between −6 and −5, so the intercept is between (−6, 0) and (−5, 0).
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