Odd and Even Function
1. What is an Even Function? A function f(x) is called an even function if [f(−x) = f(x)] for all
Find the Domain and range of the function
Key Idea Domain: All possible values of [x] for which the function is defined. Range: All possible values of [y
Range of Function
1. Concept Overview When we study a function, we always ask two basic questions: Which values of x can we
Square Root Functions
1. Concept Overview A square root function is a function in which the variable appears inside a square root. It
Least Integer Function
1. Concept Overview The Least Integer Function helps us move a real number to the next integer on the right,
Greatest Integer Function
1. Concept Overview The Greatest Integer Function helps us convert a real number into the largest integer less than or
Properties of Modulus Function
1. Non-Negativity Property For any real number [x], [|x| ≥ 0] Meaning: The modulus of a number is never negative
Properties of Logarithmic Function
1. Concept Overview Logarithmic properties are rules that help us: simplify logarithmic expressions combine or split logarithms solve logarithmic equations
Signum Function
1. Concept Overview The signum function tells us the sign of a real number. It answers a very simple question: