PAP Algebra 2 – Do Now! Graph the following function by using only the vertex and x and y intercepts. f(x) = - 1 2

Slides:



Advertisements
Similar presentations
Objective - To graph linear equations using the slope and y-intercept.
Advertisements

Unit 6 – Fundamentals of Calculus Section 6
Rational Functions Characteristics. What do you know about the polynomial f(x) = x + 1?
Equation of a Tangent Line
Find the slope of the tangent line to the graph of f at the point ( - 1, 10 ). f ( x ) = 6 - 4x
1/4/2009 Algebra 2 (DM) Chapter 7 Solving Systems of Equations by graphing using slope- intercept method.
x y no x y yes.
LINEAR SYSTEMS – Graphing Method In this module, we will be graphing two linear equations on one coordinate plane and seeing where they intersect. You.
Roots, Zeroes, and Solutions For Quadratics Day 2.
EXAMPLE 5 Find the zeros of quadratic functions. Find the zeros of the function by rewriting the function in intercept form. a. y = x 2 – x – 12 b. y =
Solving equations with polynomials – part 2. n² -7n -30 = 0 ( )( )n n 1 · 30 2 · 15 3 · 10 5 · n + 3 = 0 n – 10 = n = -3n = 10 =
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.
Day 15: Quadratics. 1. Which ordered pair represents one of the roots of the function f(x) = 2x 2 + 3x − 20? F (− 5/2, 0) H (−5, 0) G(−4, 0) J (−20, 0)
Review 2-1 and 2-2. Quiz Overview (non-calculator) 2-1a) graph power functions (4 points, 8 matching) b) solve radical equations (4 points, 2 equations)
ACC ALGEBRA MIDTERM REVIEW. QUESTION #1- SOLVE QUESTION #2- SOLVE.
Functions. Objectives: Find x and y intercepts Identify increasing, decreasing, constant intervals Determine end behaviors.
Review after Christmas!. Solve the below equations for the variable..5 (6x +8) = 16 1.
TRASHKETBALL PRECALCULUS CHAPTER 2 QUIZ. WHAT IS THE VERTEX AND WHAT ARE THE INTERCEPTS?
Grudgeball! Unit 4 (Part 2) Test Review. Factor completely:
Unit 2 Lesson #3 Tangent Line Problems
Quadratics Review – Intercept & Standard Form August 30, 2016.
Warm Up a) What is the average rate of change from x = -2 to x = 2? b) What is the average rate of change over the interval [1, 4]? c) Approximate y’(2).
Slope Intercept Form Algebra
2.1 Tangents & Velocities.
HW Friday (due Monday):
2.1A Tangent Lines & Derivatives
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.
Warmup 3-7(1) For 1-4 below, describe the end behavior of the function. -12x4 + 9x2 - 17x3 + 20x x4 + 38x5 + 29x2 - 12x3 Left: as x -,
Algebra II Elements 5.8: Analyze Graphs of Polynomial Functions
Differentiating Polynomials & Equations of Tangents & Normals
Module 1 Review ( ) Rewrite the following equations in slope-intercept form (solve for y), then graph on the coordinate plane.
Basic Math Skills.
3-1 Graphing Systems of Equations
Section 3.2 Polynomial Functions and Their Graphs
The Derivative and the Tangent Line Problems
Bell-Ringer.
Objective- To find the slope of a line given
4.2 Properties of Polynomial Graphs
Warm Up Graph the following y= x4 (x + 3)2 (x – 4)5 (x – 3)
**Get signed by your parents for 5 bonus points on the test!!
Polynomial Multiplicity
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.
Quadratics Review – Intercept & Standard Form
Warm Up Graph the following y= x4 (x + 3)2 (x – 4)5 (x – 3)
Objectives Solve quadratic equations by graphing or factoring.
Using Factoring To Solve
Algebra Jeopardy L F I N A
6-1 Solving Systems by Graphing
Write the equation for the following slope and y-intercept:
2-4: Writing Linear Equations Using Slope Intercept Form
30 – Instantaneous Rate of Change No Calculator
Keeper 2 Honors Calculus
Chapter 3 Graphs and Functions.
SYSTEMS.
8-10 Nonlinear Systems Warm Up Lesson Presentation Lesson Quiz
Write and graph lines in point-slope form and standard form
Solve Systems of Equations by Graphing
Characteristics.
 .
5 Minute Check 1-4 Graph the equation : 2x + y – 4 = 0
Characteristics.
Preview to 6.7: Graphs of Polynomial
Millennium High School Agenda Calendar
Objectives: To graph lines using the slope-intercept equation
Pre-AP Pre-Calculus Chapter 2, Section 5
Chapter 4 Review.
1: Slope from Equations Y = 8x – 4 B) y = 6 – 7x
Demo Slide.
Slope Intercept Form Algebra 1 Unit 4 Lesson 2.
Miss Battaglia AB Calculus
Presentation transcript:

PAP Algebra 2 – Do Now! Graph the following function by using only the vertex and x and y intercepts. f(x) = - 1 2 𝑥+1 +2 Rewrite the following function by eliminating B. Then graph using the vertex and slope f(x) = |2x-2| + 3

AP Calculus – Do Now! Determine f’(3) using the calculator given f(x) = 4x2 Then use this information the write the equation of the tangent and normal lines to the curve at this point. f’(3) = ________________ Tangent line equation: y= _______________ Normal line equation: y = _______________

PAP Pre-Calculus - Do Now! Given the factored polynomial below determine: f(x) = −2 𝑥−2 3 𝑥+1 𝑥−1 3 Domain: _________________ lim 𝑥→ ∞ 𝑓 𝑥 = ________________ Y intercept: _______________ lim 𝑥→−∞ 𝑓 𝑥 = ________________ Function zeros, multiplicity and type of intersection Leading term: ___________

PAP Pre-Calculus - Do Now! Determine the equation of the polynomial graph shown below in factored form. Remember to check your equation for compliance to the point indicated and end behavior!!