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

Answer 1

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.