Pre-Calculus 1.2 Kinds of Functions

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Presentation transcript:

Pre-Calculus 1.2 Kinds of Functions Objective: The student will be able to make connections among the algebraic equation for a function, its name, and its graph.

Terminologies: Relation – any set of ordered pairs Function – set of ordered pairs in which every x has only one y Y-intercept – where a graph crosses the y-axis (value of x = 0) X-intercept – where a graph crosses the x-intercept (value of y = 0) F(x) – Euler’s notation. another way to represent y

Terminologies: Independent vs. Dependent Variables Domain – set of values of the independent variable “x” Range – Set of values of the dependent variable “y” Asymptote – vertical or horizontal “imaginary” line that the function approaches but never actually meets

Terminologies (con’t) Extrapolation – extending a graph beyond all given data. Interpolation – estimating a value within the given data

Types of functions: Quadratic* Linear* Power* Exponential* Polynomial Direct Variation Inverse Variation Rational Algebraic

Quadratic Graph

Linear Graph

Power Graph

Exponential Graph

Polynomial Graph

Direct Variation Graph

Inverse variation Graph

Rational Algebraic Non-removable discontinuity Graph

Restricted Domains/Boolean Variables