This math unit progresses through a sequence of increasing complexity in understanding and identifying the domain of various functions. It begins with basic skills to determine the domain of simple linear functions, recognizing which number line illustrates these domains correctly. The unit introduces polynomial functions of higher degrees, including understanding domains for fractional functions with linear and quadratic components, and progresses to involve more complex function forms like square roots and those with complex roots. Learners start with linear and simple polynomial functions, extending their skills to scenarios involving square and cube roots, which require understanding conditions for real number outputs. The focus then shifts to more complex algebraic structures, such as rational functions where the numerator and/or the denominator may consist of linear or quadratic expressions, including those with complex roots. Towards the advanced stages, the emphasis is on mastering domains involving the interplay of roots and quadratic functions, culminating with fractions that impose multiple domain constraints. This comprehensively builds the learners’ ability to analyze, calculate, and graphically represent function domains across various algebraic configurations.Skills you will learn include:
Topics are small, focused areas which build towards the greater unit's goals.