Calculus worksheet with two piecewise function problems requiring determination of constants for continuity.
A math worksheet titled "Calculus: Prerequisite Skills" featuring two problems on piecewise functions. Problem Q1 asks to determine the value of k for continuity of a function defined as (kx+1)³ for x < 2 and k²x² - 1 for x ≥ 2. Problem Q2 asks to determine constants A and B for continuity of a function defined as 5 + 3x for -4 ≤ x ≤ -2, Ax² - B for -2 < x < 2, and 10 for x ≥ 2.