Sketching Cubic Functions with Unfactored Elements

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Mathematics
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University
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Hard
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general trend of a positive cubic function?
Downwards
Upwards
Horizontal
Circular
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many roots does a cubic function have if it passes through the X-axis at three separate points?
One
Two
None
Three
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a repeated root in the context of cubic functions?
A root that is not on the graph
A root that appears only once
A root that acts as a tangent to the X-axis
A root that is imaginary
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical process is used to find the turning points of a cubic function?
Integration
Addition
Multiplication
Differentiation
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you find the Y-intercept of a cubic function?
By finding the maximum point
By finding the minimum point
By setting Y = 0
By setting X = 0
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in factorizing a cubic function using algebraic division?
Finding the Y-intercept
Identifying a factor
Solving for X
Calculating the derivative
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When a cubic function cannot be completely factorized, which formula is used to find the roots?
Binomial theorem
Quadratic formula
Exponential formula
Pythagorean theorem
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