What is the primary focus when learning about the continuity of functions?

Understanding Continuity of Functions

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

Mia Campbell
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Memorizing the steps to find continuity
Calculating the derivative of a function
Understanding the concept of continuity
Knowing the definition of a function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is NOT one of the three steps to determine if a function is continuous at a point?
Take the limit as x approaches the point
Compare the results of the evaluation and the limit
Take the derivative of the function
Evaluate the function at the point
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example of evaluating a linear function, what is the result of f(1) for f(x) = 2x?
4
1
3
2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens if the function f(x) = 1/x is evaluated at x = 0?
The function equals zero
The function is undefined
The function equals one
The function is continuous
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do piecewise functions often have discontinuities?
They are linear functions
They are always continuous
They have different definitions for different intervals
They are not defined for any x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a removable discontinuity?
A point where the function has a vertical asymptote
A point where the function is continuous
A discontinuity that can be eliminated by redefining the function at a point
A point where the function is not defined
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the graphical explanation, what does it mean if the function value and the limit at a point are the same?
The function is continuous
The function is undefined
The function has a vertical asymptote
The function is discontinuous
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