Question

A function can be expressed algebraically such as f(x)=3x+1. List two forms that a function can be expressed in.

Answers

Answered by 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.
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