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Questions and Answers
Which of the following best describes an even function?
Which of the following best describes an even function?
- A function where $f(x) = -f(x + 2)$ for all $x$ in the domain
- A function where $f(x) = -f(-x)$ for all $x$ in the domain
- A function where $f(x) = f(x + 2)$ for all $x$ in the domain
- A function where $f(x) = f(-x)$ for all $x$ in the domain (correct)
What type of function is characterized by the property $g(-x) = -g(x)$ for all $x$ in the domain?
What type of function is characterized by the property $g(-x) = -g(x)$ for all $x$ in the domain?
- Even function
- Odd function (correct)
- Neither even nor odd function
- Increasing function
In the context of functions, what does it mean for a function to be increasing?
In the context of functions, what does it mean for a function to be increasing?
- The function has a decreasing trend throughout its domain
- The slope of the function is zero at all points
- The function is concave up in its entire domain
- The function's output increases as its input increases (correct)
Which of these statements best describes a decreasing function?
Which of these statements best describes a decreasing function?
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What is the defining characteristic of a neither even nor odd function?
What is the defining characteristic of a neither even nor odd function?
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