
Understanding Domains and Asymptotes in Functions

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

Emma Peterson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What values of x make the denominator zero in the function f(x) = 1/(x^2 - 4)?
x = 4
x = 0
x = -4
x = -2 and x = 2
Tags
CCSS.HSF-IF.C.7D
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why does the graph of f(x) = 1/(x^2 - 4) not touch the vertical lines at x = -2 and x = 2?
Because they are vertical asymptotes
Because they are horizontal asymptotes
Because the graph is a circle
Because the graph is a straight line
Tags
CCSS.HSF-IF.C.7D
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of vertical asymptotes in a graph?
They indicate where the graph approaches but never touches
They indicate where the graph touches the x-axis
They indicate where the graph touches the y-axis
They indicate where the graph is a straight line
Tags
CCSS.HSF-IF.C.7D
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is true about the function f(x) = 1/(x^2 - 4)?
It is a quadratic function
It is a linear function
It has breaks in the graph
It is a polynomial
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the function f(x) = 1/(x^2 - 9), which values of x are not allowed?
x = 0
x = 9
x = -9
x = -3 and x = 3
Tags
CCSS.HSF-IF.C.7D
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the graph of f(x) = 1/(x^2 - 9) at x = 3?
It touches the line
It crosses the line
It approaches but never touches the line
It becomes a straight line
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the domain of the function y = 1/x^2?
All positive numbers
All negative numbers
All real numbers
All real numbers except 0
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