1 / 9

Understanding Functions: Relationships, Representations, and Evaluations

This lesson introduces the concept of a function, including its definition, representations, and notation. It also covers how to evaluate functions using formulas, tables, and graphs. Additional practice exercises are provided.

sherripeterson
Download Presentation

Understanding Functions: Relationships, Representations, and Evaluations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Functions Lesson 1.1

  2. What is a Function • A relationship between two quantities • Represented by: • A table • A formula A =  r2 • A description • A graph

  3. Definition of a Function • Mathematical definition:A set of ordered pairs where no two ordered pairs have the same first element

  4. Evaluating Possible Functions • Which is a function? • {(2,3), (4,7), (9,3)}{(2,3), (4,7), (2,9)}{(2,3), (4,7), (9,2)}

  5. Function Notation • If we say “R is a function of t” the notation is …R = f(t) • Note: f(t) does not mean f * t

  6. Using Function Notation • Suppose we say h(t) = -16t2 +64t • The height of a ball thrown into the air is a function of t, time • We evaluate functions by substituting a value for time into the formula • That is • h(3) = -16*32 + 64*3 • Which evaluates to ??? View TI nSpire demo

  7. Defining a function on the TI-Calculator • Enter the formula as shown on the command line: -> is the STO> key

  8. Using TI-Calculator Functions • On the entry line enter h(3) • Press <enter> • Try evaluating the function h(t) for different values of t • h(7) • h(-4) • h(x+2) Evaluate a function with a spreadsheet

  9. Assignment • Lesson 1.1 • Page 6 • Exercises • 1 – 5, 7, 9, 11, 17, 19, 25, 31, 33

More Related