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Questions and Answers
Which of the following functions is even?
Which of the following functions is even?
- $f(x) = -x^2$
- $f(x) = xs$
- $f(x) = x^2$ (correct)
- $f(x) = -xs$
Which of the following functions is odd?
Which of the following functions is odd?
- $f(x) = -x^2$ (correct)
- $f(x) = xs$
- $f(x) = -xs$
- $f(x) = x^2$
Which of the following functions is neither even nor odd?
Which of the following functions is neither even nor odd?
- $f(x) = -x^2$
- $f(x) = xs$ (correct)
- $f(x) = x^2$
- $f(x) = -xs$
Which of the following functions is neither even nor odd?
Which of the following functions is neither even nor odd?
Which of the following functions is odd?
Which of the following functions is odd?
Which of the following functions is even?
Which of the following functions is even?
Which of the following functions is neither even nor odd?
Which of the following functions is neither even nor odd?
Which of the following functions is even?
Which of the following functions is even?
Which of the following functions is odd?
Which of the following functions is odd?
Which of the following functions is neither even nor odd?
Which of the following functions is neither even nor odd?
Which of the following functions is odd?
Which of the following functions is odd?
Which of the following functions is even?
Which of the following functions is even?
Which of the following functions is neither even nor odd?
Which of the following functions is neither even nor odd?
Determine if the function $f(x) = -x^2 - x^6 - x^{10}$ is even, odd, or neither.
Determine if the function $f(x) = -x^2 - x^6 - x^{10}$ is even, odd, or neither.
Determine if the function $f(x) = x + x^3 + x^5$ is even, odd, or neither.
Determine if the function $f(x) = x + x^3 + x^5$ is even, odd, or neither.
Determine if the function $f(x) = -x - x^3 - x^5$ is even, odd, or neither.
Determine if the function $f(x) = -x - x^3 - x^5$ is even, odd, or neither.
Determine if the function $f(x) = \sin(x) + 2$ is even, odd, or neither.
Determine if the function $f(x) = \sin(x) + 2$ is even, odd, or neither.
Determine if the function $f(x) = \cos(x) + \sin(x) - 3$ is even, odd, or neither.
Determine if the function $f(x) = \cos(x) + \sin(x) - 3$ is even, odd, or neither.
Determine if the function $f(x) = -x^5$ is even, odd, or neither.
Determine if the function $f(x) = -x^5$ is even, odd, or neither.
Determine if the function $f(x) = 9 + x + x^2$ is even, odd, or neither.
Determine if the function $f(x) = 9 + x + x^2$ is even, odd, or neither.
Determine if the function $f(x) = x^3 + x^6 + x^{10}$ is even, odd, or neither.
Determine if the function $f(x) = x^3 + x^6 + x^{10}$ is even, odd, or neither.
Determine if the function $f(x) = \sin(x^2)$ is even, odd, or neither.
Determine if the function $f(x) = \sin(x^2)$ is even, odd, or neither.
Determine if the function $f(x) = \sin(x^3)$ is even, odd, or neither.
Determine if the function $f(x) = \sin(x^3)$ is even, odd, or neither.
Determine if the function $f(x) = \sin(-x)$ is even, odd, or neither.
Determine if the function $f(x) = \sin(-x)$ is even, odd, or neither.
Determine if the function $f(x) = \sin(-x^2)$ is even, odd, or neither.
Determine if the function $f(x) = \sin(-x^2)$ is even, odd, or neither.
Determine if the function $f(x) = \sin(-x^3)$ is even, odd, or neither.
Determine if the function $f(x) = \sin(-x^3)$ is even, odd, or neither.
Determine if the function $f(x) = x^2$ is Even, Odd, or Neither.
Determine if the function $f(x) = x^2$ is Even, Odd, or Neither.
Determine if the function $f(x) = x^4 + x^2 + x - 5$ is Even, Odd, or Neither.
Determine if the function $f(x) = x^4 + x^2 + x - 5$ is Even, Odd, or Neither.
Determine if the function $f(x) = x^{10}$ is Even, Odd, or Neither.
Determine if the function $f(x) = x^{10}$ is Even, Odd, or Neither.
Determine if the function $f(x) = 16 - x - x^3$ is Even, Odd, or Neither.
Determine if the function $f(x) = 16 - x - x^3$ is Even, Odd, or Neither.
Determine if the function $f(x) = -x^2 - x^4$ is Even, Odd, or Neither.
Determine if the function $f(x) = -x^2 - x^4$ is Even, Odd, or Neither.
Determine if the function $f(x) = x^5$ is Even, Odd, or Neither.
Determine if the function $f(x) = x^5$ is Even, Odd, or Neither.
Determine if the function $f(x) = -x^5$ is Even, Odd, or Neither.
Determine if the function $f(x) = -x^5$ is Even, Odd, or Neither.
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Study Notes
Even Functions
- The function f(x) = -x^2 - x^6 - x^10 is even.
- The function f(x) = x^2 is even.
- The function f(x) = x^4 + x^2 + x - 5 is even.
- The function f(x) = x^10 is even.
- The function f(x) = -x^2 - x^4 is even.
Odd Functions
- The function f(x) = x + x^3 + x^5 is odd.
- The function f(x) = -x - x^3 - x^5 is odd.
- The function f(x) = -x^5 is odd.
- The function f(x) = x^5 is odd.
Neither Even nor Odd Functions
- The function f(x) = sin(x) + 2 is neither even nor odd.
- The function f(x) = cos(x) + sin(x) - 3 is neither even nor odd.
- The function f(x) = sin(x^2) is neither even nor odd.
- The function f(x) = sin(x^3) is neither even nor odd.
- The function f(x) = sin(-x) is neither even nor odd, but is an odd function because sin(-x) = -sin(x).
- The function f(x) = sin(-x^2) is an even function because sin(-x^2) = sin(x^2).
- The function f(x) = sin(-x^3) is an odd function because sin(-x^3) = -sin(x^3).
- The function f(x) = 9 + x + x^2 is neither even nor odd.
- The function f(x) = x^3 + x^6 + x^10 is neither even nor odd.
- The function f(x) = 16 - x - x^3 is neither even nor odd.
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