Nonlinear Systems and Quadratic Inequalities

Which inequality is shown?

• y< -x²

• y≤ -x²

• y> -x²

• y≥ -x²

Solve:

2x² + 5x ≥ 12

• [-4, 3/2]

• (−∞, -4) U (3/2, ∞)

• (−∞, -4] U [3/2, ∞)

• no solution

Solve: 5x - 10x² < 0

• (0, ½)

• [0, ½]

• (−∞, 0) U (½, ∞)

• (- ½ , 0)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.4

Solve:

3x - x² > 0

• (−∞, 0) U (3, ∞)

• (−∞, - 3) U (0, ∞)

• (-3, 0)

• (0, 3)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Which inequality is represented by the graph?

• y > (x - 3)² - 3

• y ≥ (x + 3)² - 3

• y > (x + 3)² - 3

• y ≥ (x - 3)² - 3

Tags

CCSS.HSA.CED.A.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• y ≥ -(x + 4)² + 1
• y < -(x - 4)² + 1
• y ≤ (x - 4)² + 1
• y ≤ -(x - 4)² + 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

Which inequality is represented by the graph?

• y > -(x - 4)² + 1

• y > -(x - 1)² + 4

• y < (x - 4)² + 1

• y > (x + 4)² + 1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

CCSS.HSF.IF.B.4

• y ≤ (x - 3)² + 3
• y < (x + 3)² - 3
• y < (x - 3)² - 3
• y ≤ (x + 3)² - 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Find the solution.

• {(2,3), (3,4)}

• {(-3,-15), (4,-8)}

• {(-3,10), (8,4)}

• {(-8,3), (-4,10)}

Find the solution:

y = x² - 4x + 6

y = x + 2

• {(3, 1), (6, 4)}

• {(-1, 1), (4, 2)}

• {(1, 3), (4, 6)}

• {(1, 4), (3, 6)}