
Understanding Rational Functions
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Amelia Wright
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in analyzing a rational function?
Finding the range
Determining the domain
Calculating the second derivative
Identifying asymptotes
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the domain of a rational function?
By finding the y-intercepts
By finding the x-intercepts
By setting the numerator equal to zero
By setting the denominator equal to zero
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the domain of the function if the denominator is 3x + 1?
All real numbers except x = 1/3
All real numbers
All real numbers except x = 0
All real numbers except x = -1/3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What indicates that a function is increasing on an interval?
The second derivative is positive
The first derivative is negative
The first derivative is positive
The first derivative is zero
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the behavior of the function over its entire domain?
Constant
Decreasing
Increasing
Oscillating
Tags
CCSS.HSF-IF.C.7D
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a vertical asymptote at x = -1/3 indicate?
The function is undefined at x = -1/3
The function is zero at x = -1/3
The function is maximum at x = -1/3
The function is minimum at x = -1/3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean if the second derivative is positive?
The function is concave down
The function is concave up
The function is decreasing
The function is increasing
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