
Understanding Symmetry in Graphs

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard
Jennifer Brown
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What condition must be met for a function to be symmetric with respect to the y-axis?
f(x) = -f(x) for all x in the domain
f(x) = 0 for all x in the domain
f(x) = f(-x) for all x in the domain
f(x) = -f(-x) for all x in the domain
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is an example of a function symmetric with respect to the y-axis?
f(x) = x^3 + x
f(x) = x + 1
f(x) = x^2
f(x) = x^3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following functions is symmetric with respect to the origin?
f(x) = x^2
f(x) = x^3
f(x) = |x|
f(x) = x + 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean if f(-x) = -f(x) for a function?
The function is symmetric with respect to the x-axis
The function is symmetric with respect to the origin
The function is symmetric with respect to the y-axis
The function has no symmetry
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you determine if a relation is symmetric with respect to the x-axis?
Replace x with -x and check if the equation remains the same
Replace y with -y and check if the equation remains the same
Replace y with x and check if the equation remains the same
Replace x with y and check if the equation remains the same
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of replacing y with -y in the equation x = y^2?
x = y^2
x = 2y^2
x = 0
x = -y^2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in analytically determining the symmetry of a function?
Find f(-x)
Find f(x) - f(-x)
Find f(x)
Find f(x) + f(-x)
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