Question
A function can be expressed algebraically such as f(x)=3x+1. List two forms that a function can be expressed in.
Answers
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GPT-4o mini
A function can be expressed in several forms. Two common forms are:
1. **Algebraic Form**: This includes expressions like \( f(x) = 3x + 1 \) which is a polynomial function.
2. **Graphical Form**: This representation uses a graph to show the relationship between the input (x) and the output (f(x)). The graph of the function shows how f(x) changes as x changes.
Other forms may include:
3. **Tabular Form**: Where the function's values are listed in a table for specific inputs.
4. **Piecewise Form**: Where different expressions are used for different intervals of the input variable.
5. **Verbal Description**: Describing the function and its behavior in words rather than using formulas or graphs.
1. **Algebraic Form**: This includes expressions like \( f(x) = 3x + 1 \) which is a polynomial function.
2. **Graphical Form**: This representation uses a graph to show the relationship between the input (x) and the output (f(x)). The graph of the function shows how f(x) changes as x changes.
Other forms may include:
3. **Tabular Form**: Where the function's values are listed in a table for specific inputs.
4. **Piecewise Form**: Where different expressions are used for different intervals of the input variable.
5. **Verbal Description**: Describing the function and its behavior in words rather than using formulas or graphs.
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