Polynomial Inequalities

Based on the end behavior which option best describes the leading term?

• negative coefficient, even degree
• negative coefficient, odd degree
• negative degree, odd coefficient
• negative degree, even coefficient

Assuming the scale is 1, determine where f(x) ≤ 0.

• (-oo, 2) U (2, 4)
• (-oo, 2] U [2, 4]
• (-oo, 4]
• Not given

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

Assuming the scale is 1, where is f(x) > 0?

• [-4, -1] U [2, +oo)
• (-4, -1) U (2, +oo)
• (-oo, -4] U [-1, 2]
• (-oo, -4) U (-1, 2)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.10

Assuming the scale is 1, where is f(x) < 0?

• [-4, -1] U [2, +oo)
• (-4, -1) U (2, +oo)
• (-oo, -4] U [-1, 2]
• (-oo, -4) U (-1, 2)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Assuming the scale is 1, where is f(x) < 0?

• (-4, 2)
• [-4, 2]
• (-oo, -4) U (2, 4)
• (-oo, -4] U [2, 4]

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

 $\left(x-2\right)\left(x+3\right)\ge0$  No Calculator allowed.

•  $\left(-3,2\right)$  

•  $\left(-\infty,-3\right]\cup\left[2,\infty\right)$  

•  $\left(-\infty,-3\right)\cup\left(2,\infty\right)$  

•  $\left[-3,2\right]$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

 $\left(x-6\right)\left(x+2\right)\left(x-2\right)<0$  No Calculator Allowed.

•  $\left(-\infty,-1\right)\cup\left(1,5\right)$  

•  $\left(-2,2\right)\cup\left(6,\infty\right)$  

•  $\left(-2,2\right)\cup\left(6,\infty\right)$  

•  $\left(-\infty,-2\right)\cup\left(2,6\right)$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

#1

(x-3)(x+4)>0 No Calculator allowed.

• (-∞, -4)U(-4, ∞)

• (-4, 3)

• (-∞, -4]U[3,∞)

• (-∞, -4) U (3, ∞)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.B.4

#4

x² - 2x - 15 ≤ 0. No Calculator Allowed.

• (-∞, -3) U (5, ∞)

• (-3, 5)

• [-3, 5]

• (-∞, -3]U[5, ∞)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Assuming the scale is 1, where is f(x) > 0?

• [-4, -1] U [2, +oo)
• (-4, -1) U (2, +oo)
• (-oo, -4] U [-1, 2]
• (-oo, -4) U (-1, 2)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.10