
Graphing Absolute Value Functions as Piecewise Functions

Interactive Video
•
Mathematics
•
8th - 12th Grade
•
Hard
Standards-aligned

Liam Anderson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to understand the relationship between piecewise functions and absolute value functions in calculus?
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.
Tags
CCSS.HSF-IF.C.7B
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
Tags
CCSS.HSF-IF.C.7D
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.
Tags
CCSS.HSF-IF.C.7D
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.
Tags
CCSS.HSF-IF.C.7B
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
Tags
CCSS.HSF-IF.C.7D
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