Functions of One Variable

By using function notation, you can use the same general procedure to define a function as was described for defining a variable.

To define the function f whose value at x is ax² + bx + c

1.

Enter the equation fx = ax² + bx + c.

2.

Place the insertion point in the equation.

3.

Click the New Definition button itbpF0.3009in0.3009in0.0701innewdef.wmf on the Compute toolbar or, from the Define submenu, choose New Definition.

Now the symbol f represents the defined function and it behaves like a function. For example, apply Evaluate to f (t) to get f (t) = at² + bt + c and apply Evaluate to f^′(t) to get f^′(t) = 2at + b.

• Compound Definitions