CHAPTER 1 TEST REVIEW. 1.Write the equation of the line perpendicular to the line 4x+y = 1 and runs through (2,-1) y + 1 = ¼(x-2) y = ¼x - 1½.

Slides:



Advertisements
Similar presentations
Domain: 1) f(0) = 8 2) f(3) = 3) g(-2) = -2 4) g(2) = 0 5) f(g(0)) = f(2) =0 6) f(g(-2)) = f(-2) =undefined 7) f(g(2)) = f(0) =8 8) f(g(-1)) = f(1) =3.
Advertisements

Chapter 3: Transformations of Graphs and Data
6.7 Notes – Inverse Functions. Notice how the x-y values are reversed for the original function and the reflected functions.
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),
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Section 12.1 Composite and Inverse Functions
Inverse Functions Undoing What Functions Do. 6/1/2013 Inverse Functions 2 One-to-One Functions Definition A function f is a one-to-one function if no.
7.4 Inverse Functions p Review from chapter 2 Relation – a mapping of input values (x-values) onto output values (y-values). Here are 3 ways to.
Precalculus 1.7 INVERSE FUNCTIONS.
10.1 Graphing Quadratic Functions p. 17. Quadratic Functions Definition: a function described by an equation of the form f(x) = ax 2 + bx + c, where a.
Math-3 Lesson 4-1 Inverse Functions. Definition A function is a set of ordered pairs with no two first elements alike. – f(x) = { (x,y) : (3, 2), (1,
Chapter 1 Functions & Graphs Mr. J. Focht PreCalculus OHHS.
Combinations of Functions & Inverse Functions Obj: Be able to work with combinations/compositions of functions. Be able to find inverse functions. TS:
Jeopardy Growing Exponentially Welcome to the Function Fun with Functions Snoitcunf A special Function Let’s Change it Up
Goal: Find and use inverses of linear and nonlinear functions.
Warm Ups: Quiz Review Write a rule for “g” and identify the vertex: 1) Let “g” be a translation 2 units up followed by a reflection in the x – axis and.
Chapter 7 7.6: Function Operations. Function Operations.
Inverse Functions Given 2 functions, f(x) & g(x), if f(g(x))=x AND g(f(x))=x, then f(x) & g(x) are inverses of each other. Symbols: f -1(x) means “f.
SAT Problem of the Day. 2.5 Inverses of Functions 2.5 Inverses of Functions Objectives: Find the inverse of a relation or function Determine whether the.
1 Solve each: 1. 5x – 7 > 8x |x – 5| < 2 3. x 2 – 9 > 0 :
1.8 Inverse functions My domain is your range No! My range is your domain.
6.4 Inverse Functions Part 1 Goal: Find inverses of linear functions.
Warm Ups! Find f(g(x)) and g(f(x)) for each of the following: 1.F(x)= 2x +1, g(x) = (x-1)/2 2.F(x) = ½ x + 3, g(x) = 2x-6.
Chapter 3: Functions and Graphs 3.6: Inverse Functions Essential Question: How do we algebraically determine the inverse of a function.
Finding Inverses (thru algebra) & Proving Inverses (thru composition) MM2A5b. Determine inverses of linear, quadratic, and power functions and functions.
1. g(x) = -x g(x) = x 2 – 2 3. g(x)= 2 – 0.2x 4. g(x) = 2|x| – 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.
Pre-Calc Chapter 1 section 7 The Inverse of a Function.
1.8 Inverse Functions. Any function can be represented by a set of ordered pairs. For example: f(x) = x + 5 → goes from the set A = {1, 2, 3, 4} to the.
Chapter 2 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc Inverse Functions.
Advanced Algebra Notes Section 6.4: Use Inverse Functions In Chapter 2 we learned that a ___________ is a set of ordered pairs where the domains are mapped.
2.6 Relations and Parametric Equations Pg. 150#42-44 Pg. 136#9 – 35 odd #25(3, -4)r = 4 #26(1, -3)r = 7 #27(2, -3)r = #28(7, 4)r = #42[-2, -1)U(-1, ∞)#90no.
Chapter 1.6 Trigonometric Functions. The Unit Circle.
Ch 9 – Properties and Attributes of Functions 9.5 – Functions and their Inverses.
Algebra II (H) FINAL EXAM REVIEW CHAPTERS 6, 7, 8, 9, 10, 12.
Ch. 7 Day 6 Book Section 7.6 Function Operations.
Transforming Linear Functions
LESSON 1-2 COMPOSITION OF FUNCTIONS
Quiz PowerPoint Review
Objectives: To find inverse functions graphically & algebraically.
2.6 Families of Functions Learning goals
Chapter 1: Lesson 1.9 Inverse Functions
DO NOW: Perform the indicated operation.
Finding the Inverse of a Function Algebraically
Warm-up (10 min. – No Talking)
JeopardySections Pre-Calculus designed by: Dunbar
Absolute Value Functions
2.6 Translations and Families of Functions
Warmup Let f(x) = x – 3 and g(x) = x2. What is (f ○ g)(1)?
Inverse Functions 5.3 Chapter 5 Functions 5.3.1
Chapter 2: Analysis of Graphs of Functions
Inverse Functions.
Section 5.1 Composite Functions.
Section 1.5 Inverse Functions
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Ch 1.6: Inverse of Functions and Relations
1.7 Notes: Transformations of Functions
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Composition of Functions And Inverse Functions.
4-5 Inverse Functions.
6.4 Use Inverse Functions.
3 Inverse Functions.
Sec. 2.7 Inverse Functions.
7.4 Inverse Functions p. 422.
Warm Up Determine the domain of f(g(x)). f(x) = g(x) =
Use Inverse Functions Notes 6.4.
Use Inverse Functions Notes 7.5 (Day 2).
7.4 Inverse Functions.
The graph below is a transformation of which parent function?
Chapter 4 Review.
Warm up honors algebra 2 3/1/19
Presentation transcript:

CHAPTER 1 TEST REVIEW

1.Write the equation of the line perpendicular to the line 4x+y = 1 and runs through (2,-1) y + 1 = ¼(x-2) y = ¼x - 1½

Given f(x) = 6x-4 and g(x) = x Find f(g(-2) 3. Find g(f(x)) 4. Find the inverse of f(x) f(6) = 32 (6x-4) x 2 – 48x + 18 x = 6y – 4 x+4 y -1 = 6

5. Find the center and radius: x 2 + y 2 + 2x - 14y = 71 x 2 + 2x y 2 – 14y + 49= (x+1) 2 + (y-7) 2 = (x+1) 2 + (y-7) 2 = 121 C(-1,7) r = 11

6. Describe the changes y = -(6x) Reflects across x axis Horizontal shrink by 5 Moves up 8

7. Solve algebraically: ⅔x-2<8 and ⅔x-2  -8 ⅔x<10 and ⅔x  -6 x<15 and x  -9

8. a. Convert 40º to radians. b. Convert to degrees a.2π 9 b. 20º

9. Find f -1 (x) and SHOW that f(f -1 (x)) = x and f -1 (f(x)) = x if f(x )=