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OVERALL EXPECTATIONS By the end of this course, students will:- 1. Evaluate powers with rational exponents, simplify expressions containing exponents, and describe properties of exponential functions represented in a variety of ways. 2. Make connections between the numeric, graphical, and algebraic representations of exponential functions. 3. Identify and represent exponential functions, and solve problems involving exponential functions, including problems arising from real-world applications.
2.1 Introduction
The most common used function notation is f(x) which is read as “f” of “x”. In this case, the letter x, placed within the parentheses and the entire symbol f(x), stand for the domain set and range set respectively.
2.2 Parent Functions
Parent functions are the simplest form of a given family of functions. A family of functions is a group of functions that share the same highest degree and, consequently, the same shape for their graphs.
2.3 Functions and Characteristics
A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the range.
2.4 Transformation of Functions</
