Rational Functions (Ratios of Polynomials) Graphing and finding Asymptotes

Oct 09, 2014

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Rational Functions (Ratios of Polynomials) Graphing and finding Asymptotes. Graphing and finding Asymptotes. Graphing and finding Asymptotes. Graphing and finding Asymptotes. Graphing and finding Asymptotes.

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Rational Functions (Ratios of Polynomials) Graphing and finding Asymptotes

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Rational Functions(Ratios of Polynomials)Graphing and finding Asymptotes
Graphing and finding Asymptotes

Graphing and finding Asymptotes

Graphing and finding Asymptotes

Graphing and finding Asymptotes

Trig Functions of Acute Angles

Trig Functions of Acute Angles. Lesson 2.2. A. c. b. B. C. a. Right Triangle Ratios. Given a right triangle Ratios. Right Triangle Ratios. Given a specific triangle determine the ratios How to find the hypotenuse? Use the Pythagorean theorem Ratios. 7. 5. B.

548 views • 12 slides

RATIONAL FUNCTIONS

293 views • 8 slides

Basic Functions

Basic Functions. Polynomials Exponential Functions Trigonometric Functions Trigonometric Identities The Number e. Polynomials. Definition. The polynomial P is of degree n . A number x for which P( x )=0 is called a root of the polynomial P.

319 views • 16 slides

Trigonometric Functions

Trigonometric Functions. hyp. opp. adj. Trigonometric Ratios. hyp. opp. adj. Trigonometric Ratios. Reciprocal Identities. Reciprocal Identities. Cofunction Identities.

384 views • 6 slides

Polynomial Functions

Polynomial Functions. Lesson 9.2. Polynomials. Definition: The sum of one or more power function Each power is a non negative integer. Polynomials. General formula a 0 , a 1 , … ,a n are constant coefficients n is the degree of the polynomial

311 views • 10 slides

Rational Functions

Rational Functions. Lesson 9.4. Both polynomials. Definition. Consider a function which is the quotient of two polynomials Example: . Long Run Behavior. Given The long run (end) behavior is determined by the quotient of the leading terms

426 views • 12 slides

7.1 Polynomial Functions

7.1 Polynomial Functions . Objective: Evaluate Polynomials Identify general shapes of graphs of polynomials. Polynomial Function (in one variable). degree of f(x): highest exponent leading coefficient: the coefficient of the term with the highest degree. Examples:.

413 views • 12 slides

RATIONAL FUNCTIONS

CURVE SKETCHING. RATIONAL FUNCTIONS. RATIONAL FUNCTIONS EXAMPLE 1 a) Domain Since x 2 + x – 2 ≠ 0 ( x + 2)( x – 1) ≠ 0 x ≠ – 2 x ≠ 1 x e R b) x -intercepts y - intercept c) Tests for symmetry Circle the correct answer.

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2.6 Rational Functions

2.6 Rational Functions . What is a Rational Function ?. * Also referred to as the reciprocal function The standard form of a rational function is: f(x ) = N(x) D(x) * A function is rational if ‘ x ’ is in the denominator, after the function has been simplified.

825 views • 22 slides

Introduction to Rational Equations

Introduction to Rational Equations. 2 Types of Functions. Continuous Discontinuous. Continuous. Continuous. Keeps going No breaks in graph Smooth. Discontinuous. Discontinuous. Stops Graph has breaks or holes. Examples. Continuous Graphs → Polynomials

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2.6 Rational Functions

2.6 Rational Functions. JMerrill,2010. Domain. Find the domain of. Think: what numbers can I put in for x????. Denominator can’t equal 0 (it is undefined there). You Do: Domain. Find the domain of. Denominator can’t equal 0. You Do: Domain. Find the domain of.

544 views • 27 slides

Polynomials Rational Exp

Polynomials Rational Exp. Quadratics Conics Complex #s. Series Combinatorics Prob/Stats Misc. Exponents Logarithms. 100. 100. 100. 100. 200. 200. 200. 200. 300. 300. 300. 300. 400. 400. 400. 400. 500. 500. 500. 500. 600. 600. 600. 600. 700. 700. 700. 700.

1k views • 65 slides

7.6 Rational Functions

7.6 Rational Functions. A rational function is a quotient of 2 polynomials A rational function can have places where the graph is not defined There are 3 types:.  where the denominator is 0. get when you cancel out a factor. point. (a hole in a graph). jump. (the graph jumps).

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Rational Numbers

Rational Numbers. The root word of ratio nal is ratio. Ratios are fractions. Any number that can be written as the quotient (a fraction) of two integers is a rational number. However, the denominator cannot be 0. 1. 2. 3. 0.25. -5. 0.333. are rational numbers. -. 10. -. -. 15.

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Quadratic Functions

Chapter 2 Section 1. Quadratic Functions. By: Brooke Tellinghuisen Kelli Peters Austin Steinkamp. Vocabulary. Term. 2x-2. Polynomials. Degree. Leading coefficient. Definition Of Polynomial function. Example of Polynomial Functions Polynomials are classified by degree.

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2.3 Polynomial Functions & Their Graphs

2.3 Polynomial Functions & Their Graphs. Objectives Identify polynomial functions. Recognize characteristics of graphs of polynomials. Determine end behavior. Use factoring to find zeros of polynomials. Identify zeros & their multiplicities. Use Intermediate Value Theorem.

427 views • 18 slides

Graphs of Rational Functions

Graphs of Rational Functions. MA3A1. Students will explore rational functions.

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10.1 Simplifying Rational Expressions

10.1 Simplifying Rational Expressions. Goal : to simplify a rational expression. Simplifying Rational Expressions. A “ ratio nal expression ” is the quotient of two polynomials. (division). Simplifying Rational Expressions.

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Unit 4: Modeling with polynomial & rational functions & equations

Ms. C. Taylor Common Core Math 3. Unit 4: Modeling with polynomial & rational functions & equations. Warm-Up. Factor the following. Polynomials. Degree-highest exponent Leading Coefficient-coefficient of the first term. Left Behavior- what the graph does on the left side as

719 views • 58 slides

Rational Functions

Rational Functions. Essential Questions. How do we graph rational functions? How do we transform rational functions by changing parameters?. Holt McDougal Algebra 2. Holt Algebra 2.

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Rational Functions

Rational Functions. RATIONAL EXPRESSIONS Pre-Requisite Skills: (1) Polynomial Long Division (2) Synthetic Division (3) The domain of a rational function is all real numbers EXCEPT: • zeros of the denominator, • negative even roots,

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11.3 Simplifying Rational Expressions

11.3 Simplifying Rational Expressions. Simplifying Rational Expressions. A “ ratio nal expression ” is the quotient of two polynomials. (division). Simplifying Rational Expressions. A “rational expression ” is the quotient of two polynomials. (division)

154 views • 11 slides

More Related

Rational Functions (Ratios of Polynomials) Graphing and finding Asymptotes

Rational Functions (Ratios of Polynomials) Graphing and finding Asymptotes

Presentation Transcript

Trig Functions of Acute Angles

RATIONAL FUNCTIONS

Basic Functions

Trigonometric Functions

Polynomial Functions

Rational Functions

7.1 Polynomial Functions

RATIONAL FUNCTIONS

2.6 Rational Functions

Introduction to Rational Equations

2.6 Rational Functions

Polynomials Rational Exp

7.6 Rational Functions

Rational Numbers

Quadratic Functions

2.3 Polynomial Functions &amp; Their Graphs

Graphs of Rational Functions

10.1 Simplifying Rational Expressions

Unit 4: Modeling with polynomial &amp; rational functions &amp; equations

Rational Functions

Rational Functions

11.3 Simplifying Rational Expressions

2.3 Polynomial Functions & Their Graphs

Unit 4: Modeling with polynomial & rational functions & equations