1.3 W ORKING WITH F UNCTION N OTATION. The math department has looked into purchasing new textbooks for this course. The best deal is at a cost of $94.

Slides:

Advertisements

Similar presentations

Tri-math-lon Relations and FunctionsRelations and Functions Writing Linear EquationsWriting Linear Equations GraphingGraphing.

Advertisements

9.3 Equations as Relations CORD Math Mrs. Spitz Fall 2006.

Slide 1 Insert your own content. Slide 2 Insert your own content.

Welcome to Who Wants to be a Millionaire

Welcome to Who Wants to be a Millionaire

1.7 T HE D OMAIN AND R ANGE OF Q UADRATIC F UNCTIONS.

Introduction to the quadratic function

Warm up Its Hat Day at the Braves game and every child 10 years old and younger gets a team Braves hat at Gate 7. The policies at the game are very strict.

5.9 + = 10 a)3.6 b)4.1 c)5.3 Question 1: Good Answer!! Well Done!! = 10 Question 1:

Logarithmic Functions

Difference, Product and Quotient Functions

Duplex Fractions, f(x), and composite functions. [f(x) = Find f -1 (x)] A.[3x – 5 ] B.[3x – 15 ] C.[1.5x – 7.5 ] D.[Option 4]

X and Y Intercepts.

Relations, Functions and Evaluations By Mr. Porter.

Absolute-Value Equations and Inequalities

Algebra II Honors—Day 8. Goals for Today Reminder—First Graded Homework Assignment (checked for accuracy)—due next Tuesday, Sept. 10 Essential Questions.

Solving Absolute Value Equations Solving Absolute Value Equations

Function Composition Section 8-7 Function Composition Fancy way of denoting and performing SUBSTITUTION But first …. Let’s review.

Addition 1’s to 20.

Warm Ups {(2,0) (-1,3) (2,4)} Write as table Write as graph

Test B, 100 Subtraction Facts

U1A L6 Linear, Quadratic & Polynomial Inequalities

Equations of Circles. Equation of a Circle The center of a circle is given by (h, k) The radius of a circle is given by r The equation of a circle in.

Fall 2014 COMP 2300 Discrete Structures for Computation Donghyun (David) Kim Department of Mathematics and Physics North Carolina Central University 1.

Basic Functions and Their Graphs

7.4 Function Notation and Linear Functions

7.2 I NVERSES OF R ELATIONS AND F UNCTIONS. A CTIVITY ON PAGE 497 What did you discover? What is the relationship between the domain and range of a function.

Section 1.2 Basics of Functions

Table of Contents Function: Domain and Range A function is a correspondence between two sets governed by some rule(s) such that each member of the first.

Graph 8 a. Graph b. Domain _________ c. Range __________

Graphing Piecewise Functions

Functions Domain and range The domain of a function f(x) is the set of all possible x values. (the input values) The range of a function f(x) is the set.

1. 2 MATHEMATICAL REASONING INSTITUTE LESSON GOALS 3  A.7.b – Represent or identify a function in a table or graph as having exactly one output (one.

4.4 Equations as Relations

Example Solution For a) ( f + g)(4)b) ( f – g)(x) c) ( f /g)(x)d) find the following. a) Since f (4) = 2(4) – (4) 2 = 8  16 =  8 and g(4) = 3(4)

Section 2.2 Functions  Functions & Graphs  Function Notation & Equations  Applications: Interpolation & Extrapolation 12.2.

Functions Domain & Range Evaluate with Function Notation.

Notes Over 8.4 Rewriting Logarithmic Equations Rewrite the equation in exponential form.

2.3 Introduction to Functions

Math – What is a Function? 1. 2 input output function.

Math – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.

Math – Exponential Functions

HPC 2.1 – Functions Learning Targets: -Determine whether a relation represents a function. -Find the value of a function. -Find the domain of a function.

2.2 Graphs of Equations.

Graphing Trigonometric Functions

Functions and Their Graphs

Piecewise Functions At least 2 equations, each of which applies to a different part of the functions domain. It is like having 3 equations for 3 different.

Math 1 Warm Up Evaluate y= 2x + 5 for x = 4

College Algebra Chapter 2 Functions and Graphs

Basic Math Skills.

4.6 – Formalizing Relations and Functions

Introduction to Functions

1-1 RELATIONS & FUNCTIONS

Notes Over 2.1 Function {- 3, - 1, 1, 2 } { 0, 2, 5 }

Piecewise Functions At least 2 equations, each of which applies to a different part of the functions domain. It is like having 3 equations for 3 different.

Piecewise-defined Functions

Does graph represent a function? State the domain & range.

Graphing and Evaluating The Piecewise Function A Series of Examples

Chapter 3 Section 6.

College Algebra Chapter 2 Functions and Graphs

Basics of Functions and Their Graphs

Functions and Their Graphs

Introduction to Functions

Tell whether the relation below is a function.

Evaluating and graphing

Functions and Their Graphs

Relations and Functions

3 Chapter Chapter 2 Graphing.

Presentation transcript:

1.3 W ORKING WITH F UNCTION N OTATION

The math department has looked into purchasing new textbooks for this course. The best deal is at a cost of $94 per textbook. The total cost of the books, C, depends on the number of books that are ordered, n. Since the cost is a function that depends on the number of books ordered we should write its equation using function notation. C(n) = 94n

The cost of ordering 10 new books would be $940. We can show this mathematically by replacing the n in the equation with 10 : C(n) = 94n C(10) = 94(10) C(10) = 940

Example #1: Given the function Evaluate: a) b)

c)

Example #2: Given the following graph of the function y=g(x) Evaluate: a) f(-1) b) f(0) – f(2) c) For what value(s) of x does f(x)=0? d) State the Domain and Range.

H OMEWORK P AGE 32 #1 – 4, 6, 9 AC, 11, 12, 14