Secants, tangents and instantaneous rate

Explore secants, tangent slopes and instantaneous rates through original calculus-bridge questions. Connect average change with the limit of a difference quotient, interpret nearby measurements, and distinguish a finite derivative from a corner or a vertical tangent. The practice includes both single-select and multiselect reasoning, with increasingly demanding explanations of what numerical evidence can and cannot establish. Review function values and average rate of change first. This introductory set emphasizes the meaning of differentiation before routine derivative rules.