Review for Test #1 Calculus – Larson.

Slides:

Advertisements

Similar presentations

Rational Functions Characteristics. What do you know about the polynomial f(x) = x + 1?

Advertisements

Determine the domain and range of the following relations, and indicate whether it is a function or not. If not, explain why it is not. {(1, -4), (3, 6),

Properties of Functions Section 1.6. Even functions f(-x) = f(x) Graph is symmetric with respect to the y-axis.

Relations and functions

Math 143 Final Review Spring 2007

Name That Graph…. Parent Graphs or Base Graphs Linear Quadratic Absolute Value Square Root Cubic Exponential Math

EXAMPLE 4 Graph a translated square root function Graph y = –2 x – Then state the domain and range. SOLUTION STEP 1 Sketch the graph of y = –2 x.

6.5 - Graphing Square Root and Cube Root

12.2 Functions and Graphs F(X) = x+4 where the domain is {-2,-1,0,1,2,3}

Graphing Piecewise Functions

2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt Functions Quadratics 1 Quadratics.

2 Graphs and Functions © 2008 Pearson Addison-Wesley. All rights reserved Sections 2.6–2.7.

Pre-Calculus Section 1-3B Functions and Their Graphs.

Bellwork 1. Write the equation of a line that passes through (-2, 5) and is perpendicular to 4x – 3y = Write the equation of a line that passes.

A Library of Parent Functions Objective: To identify the graphs of several parent functions.

Do Now Determine the open intervals over which the following function is increasing, decreasing, or constant. F(x) = | x + 1| + | x – 1| Determine whether.

PRECALCULUS Inverse Relations and Functions. If two relations or functions are inverses, one relation contains the point (x, y) and the other relation.

Algebra 2/Discrete 1 st Semester Exam Review #2. Question 1 What is the domain and range of the function Domain is all real numbers Range is 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.

Section 1.3 – More on Functions. On the interval [-10, -5]: The maximum value is 9. The minimum value is – and –6 are zeroes of the function.

Section 1.7 Piecewise Functions. Vocabulary Absolute Value Function – a piecewise function, written as f(x)=, where f(x) 0 for all values of x. Greatest.

Section 3.5 Piecewise Functions Day 2 Standard: MM2A1 ab Essential Question: How do I graph piecewise functions and given a graph, can I write the rule?

Library of Functions You should be familiar with the shapes of these basic functions. We'll learn them in this section.

Domains & Ranges I LOVE Parametric Equations Operations of Functions Inverse Functions Difference.

Product and Quotients of Functions Sum Difference Product Quotient are functions that exist and are defined over a domain. Why are there restrictions on.

Unit 1 Review Standards 1-8. Standard 1: Describe subsets of real numbers.

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.

IFDOES F(X) HAVE AN INVERSE THAT IS A FUNCTION? Find the inverse of f(x) and state its domain.

1) Identify the domain and range InputOutput ) Graph y = -2x Domain = -1, 2, 5 & 6 Range = -2 & 3.

Chapter 7 Day 3 Book Section 7.5 Get 2 grids for the 2 shift problems!

Increasing & Decreasing Functions A function f is increasing on an interval if, for any x 1 and x 2, in the interval, x 1 < x 2 implies f(x 1 ) < f(x 2.

Find the inverse of a power function

FUNCTIONS REVIEW PRE-CALCULUS UNIT 1 REVIEW. STANDARD 1: DESCRIBE SUBSETS OF REAL NUMBERS What are the categories? Where would these be placed? 7, 6,

Meet the Parents Interception Who’s Line is It anyway?

Ms. Discepola’s JEOPARDY Unit 8. JEOPARDY – UNIT 8 Domain, Range, Relation FunctionsSlope & Intercepts Graphing Lines Not on the TEST

Parent Functions. Learning Goal I will be able to recognize parent functions, graphs, and their characteristics.

Section 3.1 Power Functions.

1-5 Writing Equations of Parallel and Perpendicular Lines

1.7 Piecewise Functions Objective: Identify and graph piecewise functions including greatest integer, step, and absolute value functions.

Quiz PowerPoint Review

Functions and Their Graphs

Adv. Algebra Ch. 2 review This review should prepare you for the chapter 2 test in Advanced Algebra. Read the question, work out the answer, then check.

Unit 3 Functions and Graphs

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.

Calculus section 1.1 – 1.4 Review algebraic concepts

functions graphically

Basic Math Skills.

1-1 RELATIONS & FUNCTIONS

Domain and range.

Rational Functions, Transformations

1.6 A Library of Parent Functions

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.

Mrs. Allouch JEOPARDY Unit 8.

Parent Functions.

Graphing and Evaluating The Piecewise Function A Series of Examples

Partner Whiteboard Review.

Parent Functions.

Date Library of Functions

Properties of Functions

AP Calculus AB/BC 1.2 Functions, p. 12.

1.2 Analyzing Graphs of Functions and Relations

Section 4.4 Radical Functions.

Chapter 2 More on Functions.

Ex1 Which mapping represents a function? Explain

Parent Function Notes Unit 4

Find the inverse of a power function

PIECEWISE DEFINED FUNCTIONS

AP Calculus AB/BC 1.2 Functions.

Chapter 4 Review.

Section MATH 1310 Section 3.2

Presentation transcript:

Review for Test #1 Calculus – Larson

A#1 Page 16 #37 Find an equation of the line that passes through points (2, 8) & (5, 0) #59 Find an equation of a line that passes thru (2, 1) and is a) parallel to and b) perpendicular to the line 4x – 2y = 3 -2y = -4x + 3 y = 2x – 3/2

A#2 Page 27 Find the domain and range of the function. Sketch a graph. #14 g(x) = x2 – 5 #31 h(x) = (x – 2 ) Absolute value y=| x+1 | D: x is all real, R: y>-5 D: x > 2, R: y > 0 D: all real, R: y > 0

A#2 Page 27 Find the domain #14 g(x) = x2 – 5 #18 #29 f(x) = 4 – x #31 h(x) = (x – 2 ) #33 f(x) = (9 – x2) D: x is all real D: x 1 D: all real D: x > 2 D: -3 < x < 3

A#2 (continued) Determine whether each function is even, odd or neither. #67 f(x) = 4x2 – x4 + 1 Even #30 g(x) = 4/x Odd #32 f(x) = ½ x3 + 2 Neither

A#3 Page 27 #25-28 Domain and Range of piecewise functions… with lines, parabolas, absolute value, square roots Page 37 #39 Domain and range with square root, rational and piecewise functions Graph a piecewise function 25. D: x, R: (-∞,1)[2,∞) 26. D: x, R: [2,∞) 27. D: x, R: (-∞,0][1,∞)

A#4 Page 55 Limits #14 #20 A#5 page 67 Limits #7 #21 #27 #44 #49 #50 #51 #52

A#6 page 78 limits and Continuity #1,3,5 One-sided limits, Two-sided limits and continuity at a point #7 #15 #25, 28 continuity over an interval Page 88 #37