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Questions and Answers
What is the mathematical definition of a function?
What is the mathematical definition of a function?
- $y = x^2$
- $y = f(x)$ (correct)
- $f: X \rightarrow Y$
- $x = f^{-1}(y)$
Which type of function is characterized by $f(-x) = f(x)$?
Which type of function is characterized by $f(-x) = f(x)$?
- Increasing Function
- Periodic Function
- Even Function (correct)
- Odd Function
What is the condition for a function to be considered decreasing?
What is the condition for a function to be considered decreasing?
- $f(x_1) = f(x_2)$ if $x_1 \neq x_2$
- $f(x_1) > f(x_2)$ if $x_1 < x_2$
- $f(x_1) < f(x_2)$ if $x_1 > x_2$ (correct)
- $f(x + 2T) = f(x)$
What does the notation $f: R \rightarrow R$ indicate about a function?
What does the notation $f: R \rightarrow R$ indicate about a function?
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What characterizes the inverse function of $f: X \rightarrow Y$?
What characterizes the inverse function of $f: X \rightarrow Y$?
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What characterizes the inverse function of $f: X \rightarrow Y$?
What characterizes the inverse function of $f: X \rightarrow Y$?
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Which type of function is characterized by $f(x + 2T) = f(x)$?
Which type of function is characterized by $f(x + 2T) = f(x)$?
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What characterizes the constant function?
What characterizes the constant function?
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What is the condition for a function to be considered decreasing?
What is the condition for a function to be considered decreasing?
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Which type of function is characterized by $f(-x) = -f(x)$?
Which type of function is characterized by $f(-x) = -f(x)$?
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