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Polynomial Inequalities

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.
Based on the end behavior which option best describes the leading term?
a)
negative coefficient, even degree
b)
negative coefficient, odd degree
c)
negative degree, odd coefficient
d)
negative degree, even coefficient
2.
Assuming the scale is 1, determine where f(x) ≤ 0.
a)
(-oo, 2) U (2, 4)
b)
(-oo, 2] U [2, 4]
c)
(-oo, 4]
d)
Not given
3.
Assuming the scale is 1, where is f(x) > 0?
a)
[-4, -1] U [2, +oo)
b)
(-4, -1) U (2, +oo)
c)
(-oo, -4] U [-1, 2]
d)
(-oo, -4) U (-1, 2)
4.
Assuming the scale is 1, where is f(x) < 0?
a)
[-4, -1] U [2, +oo)
b)
(-4, -1) U (2, +oo)
c)
(-oo, -4] U [-1, 2]
d)
(-oo, -4) U (-1, 2)
5.
Assuming the scale is 1, where is f(x) < 0?
a)
(-4, 2)
b)
[-4, 2]
c)
(-oo, -4) U (2, 4)
d)
(-oo, -4] U [2, 4]
6.


 (x−2)(x+3)≥0\left(x-2\right)\left(x+3\right)\ge0  No Calculator allowed.

a)

 (−3,2)\left(-3,2\right)  

b)

 (−∞,−3]∪[2,∞)\left(-\infty,-3\right]\cup\left[2,\infty\right)  

c)

 (−∞,−3)∪(2,∞)\left(-\infty,-3\right)\cup\left(2,\infty\right)  

d)

 [−3,2]\left[-3,2\right]  

7.

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

a)

 (−∞,−1)∪(1,5)\left(-\infty,-1\right)\cup\left(1,5\right)  

b)

 (−2,2)∪(6,∞)\left(-2,2\right)\cup\left(6,\infty\right)  

c)

 (−2,2)∪(6,∞)\left(-2,2\right)\cup\left(6,\infty\right)  

d)

 (−∞,−2)∪(2,6)\left(-\infty,-2\right)\cup\left(2,6\right)  

8.

#1

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

a)

(-∞, -4)U(-4, ∞)

b)

(-4, 3)

c)

(-∞, -4]U[3,∞)

d)

(-∞, -4) U (3, ∞)

9.

#4

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

a)

(-∞, -3) U (5, ∞)

b)

(-3, 5)

c)

[-3, 5]

d)

(-∞, -3]U[5, ∞)

10.
Assuming the scale is 1, where is f(x) > 0?
a)
[-4, -1] U [2, +oo)
b)
(-4, -1) U (2, +oo)
c)
(-oo, -4] U [-1, 2]
d)
(-oo, -4) U (-1, 2)