Mathematics - PearsonAccess.com

Objective 2The student will demonstrate an understanding of the properties and attributesof functions.For this objective you should be able to● use the properties and attributes of functions;● use algebra to express generalizations and use symbols torepresent situations; and● manipulate symbols to solve problems and use algebraic skills tosimplify algebraic expressions and solve equations andinequalities in problem situations.What Are Parent Functions?The simplest linear function, y x, is the linear parent function.y432y = x1–4 –3 –2 –1 0 1 2 3 4x–1–2–3–4● If the graph of any function is a line, then its parent functionis y x.● If a function can be written in the form y mx b, then it islinear.● A linear function never has variables raised to a power otherthan 1.● If a function is linear, then its parent function is y x.● An equation in the form x a is a linear equation, but it is not afunction. Its graph is a vertical line.36