
Differentiability and Discontinuity Concepts

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

Ethan Morris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is one condition under which a function is not differentiable?
The function has a hole at a point.
The function is quadratic.
The function is linear.
The function is continuous everywhere.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a type of discontinuity that affects differentiability?
Linear discontinuity
Removable discontinuity
Continuous discontinuity
Quadratic discontinuity
Tags
CCSS.HSF-IF.C.7A
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
At which x-value does the function have a jump discontinuity?
x = 3
x = -3
x = 0
x = 6
Tags
CCSS.HSF-IF.C.7D
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What feature of a graph indicates a sharp corner or cusp?
A straight line
A smooth curve
A point where the slope is zero
A point where the slope changes abruptly
Tags
CCSS.HSF-IF.C.7A
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
At which x-value does the function have a sharp corner or cusp?
x = 3
x = 6
x = 0
x = -3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is a function not differentiable at a point with a sharp corner?
The slopes from the left and right are the same.
The slopes from the left and right are different.
The function is continuous at that point.
The function is linear at that point.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the characteristic of a vertical slope in terms of differentiability?
It is undefined.
It is well-defined.
It is infinite.
It is zero.
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