6. Quadratic Inequalities
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Remember that if the inequality is not strict, then the related parabola is a solid line.
To graph the quadratic inequality, we will follow three steps.
Let's draw the graph of the related function, which is y=x2−4.
We will follow the same three steps as before. Let's draw the graph of the related function, which is y=-2x2+7x+4.
Next, let's determine which region to shade by testing a point. We will use (0,0) as our test point.
Inequality | Test Point | Statement | Is It the Good Region? |
---|---|---|---|
y≤-2x2+7x+4 | (0,0) | 0≤4 ✓ | Yes |
Let's graph it!
The solution set is the overlapping region.