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3 cards from this section. Quick, good the night before a test.
Graph the inequality x² - 4 ≤ 0.
Start by factoring the quadratic.
Identify the region where x² + 2x + 1 > 0.
Remember how the parabola opens based on the leading coefficient.
When is a quadratic inequality in the form ax² + bx + c > 0 satisfied?
Think about what it means for the quadratic to be positive.
The roots of the quadratic tell us what?
What happens at the x-axis?
A company models its profit using the quadratic equation P(x) = -x² + 6x - 8. Determine the range of units produced x that will yield a profit (P(x) > 0).
Set the profit equation to zero first to find roots.
During a projectile motion, the height is represented by h(t) = -4.9t² + 20t + 10. Find the time intervals during which the height is less than 5 meters.
Rearrange h(t) to standard form and identify roots.
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