Notes Over 6.9Writing a Cubic Function Write the cubic function whose graph is shown.

Slides:



Advertisements
Similar presentations
EXAMPLE 1 Write a cubic function
Advertisements

Curving Fitting with 6-9 Polynomial Functions Warm Up
Modeling with Polynomial Functions
Degree and Finite Differences. How the degree translates to a function DegreeFunction 0Constant 1linear 2quadratic 3cubic.
“ARE YOU READY FOR THIS?”. 1. Classify this polynomial by degree: f(x) = 4x³ + 2x² - 3x + 7 a. binomial b. 4 term c. cubic d. quartic How do you know?
Curving Fitting with 6-9 Polynomial Functions Warm Up
Finding Zeros Given the Graph of a Polynomial Function Chapter 5.6.
Interpolation Used to estimate values between data points difference from regression - goes through data points no error in data points.
EXAMPLE 3 Model with finite differences
6.9 Modeling with Polynomial Functions p Ex: Write the cubic function whose graph goes through the points (-2,0), (0,2), (1,0), and (3,0). The 3.
Precalculus Chapter 2 Section 1
Holt Algebra Curve Fitting with Quadratic Models For a set of ordered pairs with equally spaced x- values, a quadratic function has constant nonzero.
Polynomial Functions A function defined by an equation in the form where is a non-negative integer and the are constants.
6-7: Investigating Graphs of Polynomial Functions.
6.1 Polynomial Functions.
Classification of a Polynomial DegreeNameExample -2x 5 + 3x 4 – x 3 + 3x 2 – 2x + 6 n = 0 n = 1 n = 2 n = 3 n = 4 n = 5 constant 3 linear 5x + 4 quadratic.
 Students should be able to… › Evaluate a polynomial function. › Graph a polynomial function.
EXAMPLE 1 Use x-intercepts to graph a polynomial function
Polynomial Functions Definitions Degrees Graphing.
7.1 Polynomial Functions Evaluate Polynomials
Algebra 1cc Functions 3 Determine the domain and range of a function from its graph Recall: the domain of a function is its independent or x values. The.
Curve Fitting with Polynomial Models Essential Questions
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 5.1 Polynomial Functions and Models.
Objectives Use finite differences to determine the degree of a polynomial that will fit a given set of data. Use technology to find polynomial models for.
Apply polynomial models to real- world situations by fitting data to linear, quadratic, cubic, or quartic models.
Warm-up What is the standard form of a linear equation?
Alg 2 Unit 1 Review Whiteboard- Partner Work. State the Domain and Range using Set Notation Does the graph represent a function? State the interval of.
Curve Fitting with 3-9 Polynomial Models Warm Up Lesson Presentation
Curve Fitting with Quadratic Models Section 2.8. Quadratic Models O Can use differences of y-values to determine if ordered pairs represent quadratic.
EXAMPLE 1 Write a cubic function SOLUTION STEP 1 Use the three given x - intercepts to write the function in factored form. f (x) = a (x + 4)(x – 1)(x.
Curve Fitting with Polynomial Models Essential Questions
P REVIEW TO 6.7: G RAPHS OF P OLYNOMIAL. Identify the leading coefficient, degree, and end behavior. Example 1: Determining End Behavior of Polynomial.
Advanced Algebra Notes Section 5.2: Evaluate and Graph Polynomial Functions A __________________ is a number, a variable, or the product of numbers and.
Algebra 2 Lesson Polynomial Functions pg 306.
Evaluate the following functions with the given value.
Do Now: Match each polynomial function with its graph. Explain your reasoning. Use a graphing calculator to verify your answers. 1. f (x) = x 3 − x 2.
 Polynomial – A monomial or a sum of monomials The standard form of a polynomial lists the terms in descending order of degree.
Algebra 2cc Section 2.10 Identify and evaluate polynomials A polynomial function is an expression in the form: f(x) = ax n + bx n-1 + cx n-2 + … dx + e.
Evaluating and Graphing Polynomial Functions
Curving Fitting with 6-9 Polynomial Functions Warm Up
Polynomial Functions and Models
Use a graphing calculator to graph the following functions
EXAMPLE 1 Write a cubic function
6.9 Modeling with Polynomial Functions
Finding polynomial roots
5.2 Evaluate and Graph Polynomial Functions
4.8 Modeling Real-World Data with Polynomial Functions
Curving Fitting with 6-9 Polynomial Functions Warm Up
Evaluate Polynomial Functions
1. Use the quadratic formula to find all real zeros of the second-degree polynomial
Polynomial Functions and Models
Warm-up: Find the equation of a quadratic function in standard form that has a root of 2 + 3i and passes through the point (2, -27). Answer: f(x) = -3x2.
Academy Algebra II 5.2: Evaluate and Graph Polynomial Functions
A graphing calculator is required for some problems or parts of problems 2000.
4.7 Curve Fitting with Finite Differences
Curve Fitting with 3-9 Polynomial Models Warm Up Lesson Presentation
4.9 Modeling with Polynomial Functions
Using Factoring To Solve
Write Polynomial Functions and Models
5-Minute Check Lesson 4-1.
4.6 Curve Fitting with Finite Differences
Fundamental Theorem of Algebra
4.3: Polynomial Functions
Polynomial Functions 1 Definitions 2 Degrees 3 Graphing.
Quadratic Graphs.
Make sure you have book and working calculator EVERY day!!!
LINEAR & QUADRATIC GRAPHS
5.3 Polynomial Functions.
4. If y varies inversely as x and y=3 when x=4, find y when x=15.
Curving Fitting with 6-9 Polynomial Functions Warm Up
Presentation transcript:

Notes Over 6.9Writing a Cubic Function Write the cubic function whose graph is shown.

Writing a Cubic Function Write the cubic function whose graph is shown.

Notes Over 6.9Finding Finite Differences Show that the nth-order differences for the given function of degree n are nonzero and constant. The second-order differences are non-zero and constant.

Finding Finite Differences Show that the nth-order differences for the given function of degree n are nonzero and constant. The third-order differences are non-zero and constant.

Notes Over 6.9Modeling with Cubic Regression Use a graphing calculator to find a polynomial function that fits the data. x f(x) Quadratic

Notes Over 6.9 Modeling with Cubic Regression Use a graphing calculator to find a polynomial function that fits the data. x f(x) Cubic

Notes Over 6.9