What does it mean to determine limits analytically?

Understanding Limits Analytically

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

Sophia Harris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Using known information about functions to find limits
Guessing the limit based on intuition
Using trial and error to find limits
Using a calculator to find limits
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key characteristic of polynomial functions?
They are discontinuous over their domain
They are only defined for positive numbers
They have a limited domain
They are continuous over all real numbers
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can we determine the limit of a polynomial function as x approaches a certain value?
By finding the derivative
By using a graphing calculator
By evaluating the function at that value
By using numerical methods
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the limit of the function -x^2 + 4x as x approaches 2?
-4
0
4
8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a characteristic of square root functions regarding their domain?
They are continuous over their domain
They are discontinuous over their domain
They are continuous over all real numbers
They are only defined for negative numbers
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can we determine the limit of a square root function as x approaches a certain value?
By using a graphing calculator
By evaluating the function at that value
By finding the derivative
By using numerical methods
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the limit of the function sqrt(5x) as x approaches 10?
10
sqrt(50)
5
5 sqrt(10)
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