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- 1. Fill in the Blank
The end behavior of a polynomial is determined by the ________________
- 2. Multiple Choice
The following are characteristics of the graph of a polynomial.
Sharp corners
Smooth curves
Continuous
Has jumps
- 3. Multiple Choice
The multiplicity of the factor (x+1) could be:
1
2
3
4
- 4. Multiple Choice
If (x + 1) and (x + 3) are two factors of x3 - x2 - 17x - 15, find the other one.
- 5. Multiple ChoiceBased on the end behavior which option best describes the leading term?negative coefficient, even degreenegative coefficient, odd degreenegative degree, odd coefficientnegative degree, even coefficient
- 6. Multiple ChoiceAssuming the scale is 1, determine where f(x) ≤ 0.(-oo, 2) U (2, 4)(-oo, 2] U [2, 4](-oo, 4]Not given
- 7. Multiple ChoiceAssuming 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)
- 8. Multiple ChoiceSolve the inequality without a graph:
(x - 3)2 ≥ 1[2, 4](-oo, 2] U [4, +oo)(-oo, 2) U (4, +oo)Not given - 9. Multiple ChoiceSolve the inequality without a graph:
(x - 2)(x + 3)2(x2 + 4) ≥ 0[2,∞)[-3] U [2,∞)(2,∞)Not Given - 10. Multiple ChoiceSolve the inequality without a graph:
x4 + 35x2 > 36(-oo, -6) U (-6, -1) U (-1, 1) U (1, 6) U (6, +oo)(-oo, -1) U (1, +oo)(-oo, -6) U (6 +oo)Not given - 11. Multiple Choice
Assuming the scale is 1, determine where f(x) ≤ 0.
- 12. Multiple ChoiceSolve the inequality:
(x-2)(x+3)2(x2+4)≥0x= 3, x ∈ [2,∞]x=3, x ∈ [2,∞)x ∈ (2,∞)x ≥ 3 - 13. Multiple Choice
On what intervals is
?
(Select all that apply) - 14. Multiple ChoiceSolve the inequality without a graph:
(x - 3)2 ≥ 1[2, 4](-oo, 2] U [4, +oo)(-oo, 2) U (4, +oo)Not given - 15. Multiple ChoiceSolve the inequality.
(x-2)(x+3)2(x2+4)≥0[2,∞){-3},[2,∞)(2,∞){ } - 16. Multiple ChoiceMatch the equation to the graph.y=-(x+1)(x-2)(x-4)y=(x+1)2(x-3)(x-1)3y = 3x3 – 2x + 1y=(x+1)3(x-3)(x-1)2
- 17. Multiple ChoiceWhat is the predicted end behavior of: y=4x5+7x?up on both endsdown on both endsup on left, down on rightdown on left, up on right
- 18. Multiple ChoiceDecide if (x-3) is a factor of 3x3+10x2-x-12Yes, it is a factorNo, it is not a factor
- Answer choicesTagsAnswer choicesTags