
Stationary Points and Polynomial Functions

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Olivia Brooks
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a common trade-off when crafting questions with stationary points?
Having messy stationary points and nice intercepts
Having messy stationary points and messy intercepts
Having nice stationary points and messy intercepts
Having nice stationary points and nice intercepts
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many stationary points can a cubic function have?
Four
One
Two
Three
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the second derivative test often preferred for determining the nature of stationary points?
It provides more information
It requires less computation
It is easier to differentiate polynomials
It is more accurate
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the common factor in the first derivative of the given quartic function?
2x
3x
4x
5x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the y-value of the stationary point when x equals 6?
144
1296
442
216
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you quickly determine if a parabola is concave up or down?
By checking the y-intercept
By looking at the leading coefficient
By finding the x-intercepts
By calculating the second derivative
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a positive leading coefficient indicate about a quartic function's graph?
It is a straight line
It has no stationary points
It opens downwards
It opens upwards
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