Relations and Functions Algebra Flash Cards Pt.3

Representations of relationships

Representations of functions

A relationship between two quantities in which every input corresponds to exactly one output. A relation is a function if and only if each element in the domain is paired with a unique element of the range

A set of input values of a relation

A set of output values of a relation

F(x). F(x) is read “the value of f at x” or “f of x”. Letters bother than f can be used to name functions, e.g., g(x) and h(x)

Linear is f(x)=x and a quadratic is f(x) = x²

Parent functions can be transformed to create other members in a family graphs

Parent functions can be transformed to create other members in a family graphs

Parent functions can be transformed to create other members in a family graphs

Linear functions. G(x) = x + b. Vertical translation of the parent functions, F(x) = x

Linear functions g(x) = mx and m>0. Vertical dilation (stretch or compression) of the parent function, f(x) = x

Linear functions. G(x) = mx and m<0. Vertical dilation (stretch or compression) with a reflection of f(x) = x

H(x) = x² + c. Vertical translation of f(x) = x²

H(x) = ax² and a>0. Vertical dilation (stretch or compression) of f(x) = x²