This text investigates the foundational mathematical concepts required to transition from algebra to calculus through the study of functions and their graphical representations. The authors, Barnett and Ziegler, utilize a structured pedagogical approach to bridge the gap between algebraic manipulation and analytical thinking. The book provides a systematic framework for understanding polynomial, rational, exponential, and logarithmic functions, emphasizing the relationship between algebraic expressions and their visual counterparts on a coordinate plane.

Educators and students frequently note the academic density and rigorous problem-solving focus of this text. It is widely regarded as a standard reference for students preparing for university-level calculus coursework.