

Even and Odd Functions Concepts
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
Used 1+ times
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the condition for a function to be classified as even?
f(x) = -x
f(x) = 0
f(-x) = f(x)
f(-x) = -f(x)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the function f(x) = x^4 + 3x^2, why is it considered even?
The function is symmetric about the x-axis
All exponents are even
The function is linear
All exponents are odd
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the function f(x) = x^5 + 2x^3, what makes it an odd function?
The function is constant
All exponents are even
The function is symmetric about the y-axis
All exponents are odd
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the signs of terms in an odd function when x is replaced with -x?
Only the highest degree term changes
All signs remain the same
Only the constant term changes
All signs change
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the function f(x) = x^3 - 5x^2 + 2 neither even nor odd?
It is symmetric about the y-axis
It is a constant function
It has both even and odd exponents
It is symmetric about the origin
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the graphical characteristic of an even function?
Symmetric about the x-axis
Symmetric about the y-axis
Symmetric about the origin
No symmetry
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is true for a function that is symmetric about the origin?
It is an odd function
It is an even function
It is a constant function
It is neither even nor odd
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