Using Function Notation

Mathematicians use a special way to write functions: function notation. Instead of writing \( y \), we write \( f(x) \), which means "the function \( f \) evaluated at \( x \)." This helps keep things organized, especially when dealing with more than one function.

Evaluating Functions

To evaluate a function, substitute the input value into the function and calculate the output.

Why Function Notation?

• Makes it clear which function is being used.
• Helps when you have multiple functions at once.

Real-Life Example

A taxi company charges $3 per ride plus $2 per mile. If the function is \( C(m) = 3 + 2m \), then \( C(5) \) tells you the cost of a 5-mile ride.