This worksheet builds students’ understanding of function notation by focusing on how functions are named, written, and evaluated. Students learn to distinguish between inputs, outputs, and function rules, interpret notation correctly, and avoid common errors with negatives, exponents, and parentheses. Early problems emphasize vocabulary and structure, while later questions require students to evaluate functions, create mapping diagrams, and interpret function values in context.

As the worksheet progresses, students apply function notation to a variety of function types, including linear, quadratic, radical, and polynomial functions. The integration section connects notation to graphical interpretation and average rate of change, reinforcing that function notation is a tool for describing relationships, not just a symbolic form. This resource works well for guided instruction, independent practice, or assessment in an Algebra I functions unit. A complete answer key supports quick grading and student self-checking.

Keywords: function notation, evaluating functions, inputs and outputs, function rules, mapping diagrams, Algebra I functions, function evaluation, interpreting graphs