Why is it important to understand the relationship between piecewise functions and absolute value functions in calculus?

Graphing Absolute Value Functions as Piecewise Functions

Interactive Video
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Mathematics
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8th - 12th Grade
•
Hard

Liam Anderson
FREE Resource
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
To simplify the process of finding derivatives and integrals.
To understand the concept of limits.
To graph polynomial functions.
To solve linear equations more efficiently.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the shape of the graph for y = |x + 3|?
A straight line
A parabola
A circle
A V-shape
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the critical value for the function y = |x + 3|?
1
-3
0
3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the function y = (x^2 + x - 2) / |x - 1|, what happens when x = 1?
The function equals negative one.
The function equals one.
The function equals zero.
The function is undefined.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you handle the absolute value in the denominator of y = (x^2 + x - 2) / |x - 1| for x > 1?
Replace it with a negative parenthesis.
Replace it with zero.
Drop the absolute value symbols.
Replace it with a positive parenthesis.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the domain of the function y = (x^2 + x - 2) / |x - 1|?
All real numbers
All real numbers except x = 1
All positive numbers
All negative numbers
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the critical values for the function y = |x^2 - 4x - 5|?
-1 and 5
2 and -2
1 and -5
0 and 4
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