Understanding Functions

Functions are rules that relate each input to exactly one output. On the SAT, you'll work with function notation, evaluate functions, and interpret graphs.

Key Skills

• Function Notation: \( f(x) \) means 'the value of function f at x.'
• Evaluating Functions: Substitute values into the function.
• Graphing Functions: Recognize shapes like parabolas, exponentials, and absolute values.
• Nonlinear Patterns: Understand relationships that aren't straight lines.

Application

Functions describe everything from population growth to how your phone battery drains!

Tips

• Pay attention to input and output values.
• Look for transformations (shifts, stretches) in function graphs.