
Understanding Continuity of Functions

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
+2
Standards-aligned

Mia Campbell
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary focus when learning about the continuity of functions?
Memorizing the steps to find continuity
Calculating the derivative of a function
Understanding the concept of continuity
Knowing the definition of a function
Tags
CCSS.HSF-IF.C.7D
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
Tags
CCSS.HSF.IF.A.2
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
Tags
CCSS.HSF.IF.A.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
Tags
CCSS.HSF-IF.C.7B
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
Tags
CCSS.HSF-IF.C.7D
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
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.B.5
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
Tags
CCSS.HSF.IF.A.2
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