
Understanding Polynomial Approximations

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Emma Peterson
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary tool used in the video to demonstrate polynomial approximations?
A graphic calculator
A spreadsheet software
WolframAlpha
A math textbook
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using a Maclaurin series expansion in the video?
To find the derivative of a function
To calculate integrals
To solve algebraic equations
To approximate the sine of x
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does adding more terms to the polynomial affect its approximation of the sine curve?
It makes the approximation worse
It has no effect
It makes the curve steeper
It improves the approximation
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the first term of the polynomial approximation represent?
A cubic curve
A straight line
A quadratic curve
A sine wave
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens when you add the second term to the polynomial approximation?
The curve diverges from the sine wave
The curve becomes a straight line
The curve starts to hug the sine wave earlier
The curve becomes a quadratic
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the order of the polynomial when the third term is added?
Second order
Seventh order
Fifth order
Third order
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do higher degree terms become relevant for larger x values?
Because they overpower the denominator
Because they are ignored for small x values
Because they have smaller coefficients
Because they are always significant
Tags
CCSS.HSA.APR.C.5
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