Example 8 Average Cost Chapter 3.3 The average cost per hat for producing baseball hats is where x is the number of units produced. a.Determine the domain.

Slides:



Advertisements
Similar presentations
3.4 Rational Functions I. A rational function is a function of the form Where p and q are polynomial functions and q is not the zero polynomial. The domain.
Advertisements

Graph of Exponential Functions
Example 3 Inverse of a 3 x 3 Matrix Chapter 7.4 Find the inverse of.  2009 PBLPathways.
Example 2 Finding an Inverse Matrix Chapter 7.4 Find the inverse of.  2009 PBLPathways.
Equation of a Tangent Line
Rational Expressions, Vertical Asymptotes, and Holes.
2.7 Rational Functions and Their Graphs Graphing Rational Functions.
Graphs of Exponential and Logarithmic Functions
Example 2 Cost-Benefit Chapter 6.5 Suppose that for specified values of p, the function can be used to model the cost of removing p% of the particulate.
Chapter 2 Functions and Graphs
Section 5.2 – Properties of Rational Functions
RATIONAL FUNCTIONS 2.6. RATIONAL FUNCTIONS VERTICAL ASYMPTOTES  To find vertical asymptotes first reduce the function if possible.  Set the denominator.
Objectives: Find the domain of a Rational Function Determine the Vertical Asymptotes of a Rational Function Determine the Horizontal or Oblique Asymptotes.
Section4.2 Rational Functions and Their Graphs. Rational Functions.
ACT Class Openers:
ACT Class Opener: om/coord_1213_f016.htm om/coord_1213_f016.htm
Rational Functions. 5 values to consider 1)Domain 2)Horizontal Asymptotes 3)Vertical Asymptotes 4)Holes 5)Zeros.
Example 2 U.S. Foreign-Born Population Chapter 6.1 The table gives the percents of U.S. population that were foreign born for the years 1900–2005. Years.
9.3 Rational Functions and Their Graphs Rational Function – A function that is written as, where P(x) and Q(x) are polynomial functions. The domain of.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 1.
Definition of a Rational Function Any function of the form Where N(x) and D(x) are polynomials and D(x) is not the zero polynomial Examples.
Asymptotes Objective: -Be able to find vertical and horizontal asymptotes.
Example 3 Average Cost Chapter 6.5 a.Graph the function on the window [-20, 20] by [-30, 50]. b.Does the graph in (a) have a horizontal asymptote? c.Graph.
Concept.
Rational Functions Intro - Chapter 4.4.  Let x = ___ to find y – intercepts A rational function is the _______ of two polynomials RATIO Graphs of Rational.
Graphing Rational Functions
M—06/07/10—HW #75: Pg 550: odd; Pg 558: eoo; Pg 566: eoo; Pg 572: odd.
Asymptotes.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Chapter Three: Section Five Limits at Infinity. Chapter Three: Section Five We have discussed in the past the idea of functions having a finite limit.
11.2 – Graphing Rational Functions
Chapter 4 Day 2. What if the graph has an asymptote or two?? Find the first derivative. Put zeroes on a number line Find the second derivative. Put zeroes.
What is the symmetry? f(x)= x 3 –x.
Pre-Cal Review (Day 2). What is an asymptote? How many different kinds are there?
Rational Functions and Asymptotes
Example 7 Marginal Revenue and Marginal Profit Chapter 1.3 A company produces and sells a product with revenue given by dollars and cost given by dollars.
Removable Discontinuities & Vertical Asymptotes
Example 2 Average Cost Chapter 6.6 The average cost per set for the production of 42-inch plasma televisions is given by where x is the number of hundreds.
Math – Exponential Functions
Example 1 Graph of an Inequality Chapter 8.1 Graph the solution of the inequality.  2009 PBLPathways.
CHAPTER 9 SECTION 3 RATIONAL FUNCTIONS AND GRAPHS Algebra 2 Notes May 21, 2009.
Notes Over 9.2 Graphing a Rational Function The graph of a has the following characteristics. Horizontal asymptotes: center: Then plot 2 points to the.
Graphing Rational Expressions. Find the domain: Graph it:
Twenty Questions Rational Functions Twenty Questions
Lesson 21 Finding holes and asymptotes Lesson 21 February 21, 2013.
Calculus Section 2.5 Find infinite limits of functions Given the function f(x) = Find =  Note: The line x = 0 is a vertical asymptote.
Chapter 2 Graphing Review. #1 Find all vertical asymptotes and holes in the graph.
Holt Algebra Rational Functions The values of h and k affect the locations of the asymptotes, the domain, and the range of rational functions whose.
Section 2.6 Rational Functions Part 2
Rational Functions.
GRAPHING RATIONAL FUNCTIONS
Graphing Rational Functions
example 4 Minimizing Cost
Rational Functions and Their Graphs
Section 3.5 Rational Functions and Their Graphs
Rational Functions and Asymptotes
RATIONAL FUNCTIONS A rational function is a function of the form:
Notes Over 9.3 Graphing a Rational Function (m < n)
Graphing Rational Functions
Simplifying rational expressions
2.6 Section 2.6.
Rational Functions Lesson 9.4.
3.4 Rational Functions I.
Graphing Rational Expressions
Domain, Range, Vertical Asymptotes and Horizontal Asymptotes
Section 8.4 – Graphing Rational Functions
EQ: What other functions can be made from
Solving and Graphing Rational Functions
4.3 Rational Functions I.
Ch. 11 Vocabulary 7.) Rational function 8.) Asymptote.
Presentation transcript:

example 8 Average Cost Chapter 3.3 The average cost per hat for producing baseball hats is where x is the number of units produced. a.Determine the domain of this function without concern for the context of the application and graph the function on a standard window. b.Use knowledge of the context of the problem to graph the function on a window that applies to the application. c.What is the horizontal asymptote of the graph? What does this tell you about how low the average cost can be?  2009 PBLPathways

a.Determine the domain of this function without concern for the context of the application and graph the function on a standard window. b.Use knowledge of the context of the problem to graph the function on a window that applies to the application. c.What is the horizontal asymptote of the graph? What does this tell you about how low the average cost can be? The average cost per hat for producing baseball hats is where x is the number of units produced.

 2009 PBLPathways a.Determine the domain of this function without concern for the context of the application and graph the function on a standard window. The average cost per hat for producing baseball hats is where x is the number of units produced.

 2009 PBLPathways a.Determine the domain of this function without concern for the context of the application and graph the function on a standard window. Denominator of can’t equal 0. The average cost per hat for producing baseball hats is where x is the number of units produced.

 2009 PBLPathways a.Determine the domain of this function without concern for the context of the application and graph the function on a standard window. Denominator of can’t equal 0. The average cost per hat for producing baseball hats is where x is the number of units produced.

 2009 PBLPathways a.Determine the domain of this function without concern for the context of the application and graph the function on a standard window. Denominator of can’t equal 0. x The average cost per hat for producing baseball hats is where x is the number of units produced.

 2009 PBLPathways b.Use knowledge of the context of the problem to graph the function on a window that applies to the application. The average cost per hat for producing baseball hats is where x is the number of units produced.

 2009 PBLPathways b.Use knowledge of the context of the problem to graph the function on a window that applies to the application. x The average cost per hat for producing baseball hats is where x is the number of units produced.

 2009 PBLPathways c.What is the horizontal asymptote of the graph? What does this tell you about how low the average cost can be? x The average cost per hat for producing baseball hats is where x is the number of units produced.

 2009 PBLPathways c.What is the horizontal asymptote of the graph? What does this tell you about how low the average cost can be? x The average cost per hat for producing baseball hats is where x is the number of units produced.

 2009 PBLPathways c.What is the horizontal asymptote of the graph? What does this tell you about how low the average cost can be? y = 4.5 x The average cost per hat for producing baseball hats is where x is the number of units produced.