Warm Ups Term 4 Week 6.

Slides:



Advertisements
Similar presentations
7.2 Polynomial Functions and Their Graphs
Advertisements

Investigating Graphs of Polynomial Functions 6-7
More on Functions and Their Graphs Section 1.3. Objectives Calculate and simplify the difference quotient for a given function. Calculate a function value.
Unit 11 – Derivative Graphs Section 11.1 – First Derivative Graphs First Derivative Slope of the Tangent Line.
Increasing and Decreasing Functions and the First Derivative Test.
3-7 investigating graphs of polynomial functions
Solving Equations Graphical Transformations Piecewise Functions Polynomial Functions
Objectives Investigating Graphs of Polynomial Functions 6-7
Section 3-7 Investigating Graphs of Polynomial Functions Objectives: Use properties of end behavior to analyze, describe, and graph polynomial functions.
Bellwork: Graph each line: 1. 3x – y = 6 2. Y = -1/2 x + 3 Y = -2
Piecewise Graphs A piecewise function is defined by at least two equations, each of which applies to a different part of the function’s domain. One example.
Warm Up Identify all the real roots of each equation. –1, 4 1. x 3 – 7x 2 + 8x + 16 = x 3 – 14x – 12 = 0 1, –1, 5, –5 3. x 4 + x 3 – 25x 2 – 27x.
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.
Chapter 1 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc More on Functions and Their Graphs.
Notes Over 2.3 The Graph of a Function Finding the Domain and Range of a Function. 1.Use the graph of the function f to find the domain of f. 2.Find the.
3.2 Properties of Functions. If c is in the domain of a function y=f(x), the average rate of change of f from c to x is defined as This expression is.
Chapter 2 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc More on Functions and Their Graphs.
Chapter 2 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc More on Functions and Their Graphs.
Function Notation Assignment. 1.Given f(x) = 6x+2, what is f(3)? Write down the following problem and use your calculator in order to answer the question.
Functions. Objectives: Find x and y intercepts Identify increasing, decreasing, constant intervals Determine end behaviors.
Holt McDougal Algebra Investigating Graphs of Polynomial Functions Use properties of end behavior to analyze, describe, and graph polynomial functions.
1. Use the graph to determine intervals where the function is increasing, decreasing, and constant.
Section 2.2 More on Functions and Their Graphs. Increasing and Decreasing Functions.
7. 2 Polynomial Functions and Their Graphs Objectives: Identify and describe the important features of the graph of polynomial function. Use a polynomial.
Section 3-7 Investigating Graphs of Polynomial Functions Objectives: Use properties of end behavior to analyze, describe, and graph polynomial functions.
Last Answer LETTER I h(x) = 3x 4 – 8x Last Answer LETTER R Without graphing, solve this polynomial: y = x 3 – 12x x.
College Algebra Chapter 2 Functions and Graphs Section 2.7 Analyzing Graphs of Functions and Piecewise- Defined Functions.
Warm Up part 2 I can apply properties of logarithms.
SECONDARY MATH 3 4-2COMPARING FUNCTIONS AND DOMAIN.
Where am I now? Review for quiz 4.1.
Increasing Decreasing Constant Functions.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Aim #2.2 What else is there to know about Functions and Their Graphs?
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
February 29, 2012 Happy Leap Year
Objectives Use properties of end behavior to analyze, describe, and graph polynomial functions. Identify and use maxima and minima of polynomial functions.
Objectives Use properties of end behavior to analyze, describe, and graph polynomial functions. Identify and use maxima and minima of polynomial functions.
6.5/6.8 Analyze Graphs of Polynomial Functions
College Algebra Chapter 2 Functions and Graphs
Objectives Use properties of end behavior to analyze, describe, and graph polynomial functions. Identify and use maxima and minima of polynomial functions.
Sketch the graph of the function {image} Choose the correct answer from the following. {applet}
A function f is increasing on an open interval I if, for any choice of x1 and x2 in I, with x1 < x2, we have f(x1) < f(x2). A function f is decreasing.
An Intro to Polynomials
3.3 More on Functions; Piecewise-Defined Functions
Indicate all x- and y-intercepts on the graph of the function y = x Choose the correct answer from the following: x-intercept (4,0), y-intercept.
Section 2.2 More on Functions and Their Graphs
Graphing and Evaluating The Piecewise Function A Series of Examples
Write each using Interval Notation. Write the domain of each function.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
7.2 Polynomial Functions and Their Graphs
Warm Up Identify all the real roots of each equation.
Characteristics of Functions
More on Functions and Their Graphs
Section 2.1 part 2.
58 – First Derivative Graphs Calculator Required
Warm Up Identify all the real roots of each equation.
Finding the Total Area y= 2x +1 y= x Area = Area =
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Warm Up Identify all the real roots of each equation.
Warm-Up 5 minutes Graph each function. Describe its general shape.
Finding the Total Area y= 2x +1 y= x Area = Area =
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
2.3 Properties of Functions
Section 1.3 More on Functions and Their Graphs
 .
4.2 Critical Points, Local Maxima and Local Minima
f(x) g(x) x x (-8,5) (8,4) (8,3) (3,0) (-4,-1) (-7,-1) (3,-2) (0,-3)
Polynomial Functions of Higher Degree
Warm Up What are the zeros of the function?
Presentation transcript:

Warm Ups Term 4 Week 6

Warm Up 4/24/17 Periods 1, 3, 5, 6, & 7 Solve for x by converting to log form: 5x-2 = 200 Find any maxima or minima: x3 + 3x2 – 6x – 8

Warm Up 4/25/17 Period 2 Solve for x by converting to log form: Find any maxima or minima: x3 + 3x2 – 6x – 8

Warm Up 4/25/17 Periods 1, 3, 5, 6, & 7 3. Find the rate of change for the function over the interval – 1 < x < 5. f(x) = 6(1.5)x Find the minimum and maximum points for the function as well as the end behavior: g(x) = 2x3 – 5x + 1

Warm Up 4/26/17 5. Graph the function, identify any min/max points as well as the end behavior, and state the periods of decrease: f(x) = - x3 – 2x2 + x – 5 6. Factor the polynomials: a. 81x2 – 64 b. 12x2 – 16x + 4

Warm Up 4/27/17 Write the summation notation for the series: -12.5, - 10, - 7.5, - 5, - 2.5, 0 Find the rate of change for the function over the interval – 5 < x < - 1 g(x) = 2(- 3)x + 5

Warm Up 4/28/17 9. Graph the piecewise function and evaluate it for x = 5 and x = - 1. Write the answers using function notation: Graph the function and state any minima, maxima, the end behavior, and the intervals of increase. q(x) = x4 – 2x2 - 3