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3 cards from this section. Quick, good the night before a test.
Solve x^2 - 1 < 0.
Find roots at x = -1 and x = 1.
Solve x^2 - 9 ≥ 0.
Identify roots and test intervals.
What is the first step in analyzing sign changes for a quadratic inequality?
Think about the points where the expression equals zero.
True or False: The sign of a quadratic expression changes at its roots.
What happens to the graph at zero?
You are given the inequality x^2 - 6x + 5 < 0. Find the roots, intervals, test points, and represent the solution graphically.
Factor to find the roots and test each interval.
Given the inequality -x^2 + 3x + 4 ≥ 0, determine roots, evaluate signs, and express the solution set in interval notation.
Focus on where the expression is above or equal to zero.
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