[PDF] 6-2 Study Guide and Intervention





Previous PDF Next PDF



6-2 Study Guide and Intervention - Parallelograms

Chapter 6. 11. Glencoe Geometry. 6-2 Study Guide and Intervention. Parallelograms. Sides and Angles of Parallelograms A quadrilateral with.



6-2 Study Guide and Intervention - Substitution

Chapter 6. 12. Glencoe Algebra 1. 6-2 Study Guide and Intervention. Substitution. Solve by Substitution One method of solving systems of equations is 



6-2 Study Guide and Intervention

6-2 Study Guide and Intervention. Substitution. Solve by Substitution One method of solving systems of equations is substitution.



Untitled

angles of those n - 2 triangles. Polygon Interior Angle. Sum Theorem 2. 6-3 Study Guide and Intervention. Tests for Parallelograms.



2-6 - Study Guide and Intervention

Substitution Property of Equality. Exercises. Complete each proof. Study Guide and Intervention. Algebraic Proof. 2-6. Example. 2. Given: 4x + 8 = x + 2.



6-1 Study Guide and Intervention

The solution of the system is x = –1 y = 1



6-2 Study Guide and Intervention

Chapter 6. 12. Glencoe Algebra 2. Inverse Relations Find Inverses. Find the inverse of the function f(1) = 2 ... 6-2 Study Guide and Intervention.



5-2 - Study Guide and Intervention

Lesson 5-2. PDF Pass. Chapter 5. 11. Glencoe Algebra 2. Study Guide and Intervention. Dividing Polynomials. 5-2. Long Division To divide a polynomial by a 



5-1 Study Guide and Intervention

2. ). 5. If cot ? = –. 4. 3 and sin ? < 0 find cos ? and csc ?. 6. 6. Glencoe Precalculus. 5-1 Study Guide and Intervention(continued).



5-2 Study Guide and Intervention.pdf

5-2 Study Guide and Intervention. Solving Inequalities by Multiplication and Division. NAME. Multiplication Property of Inequalities.



6-2 Study Guide and Intervention - The Masters Program

6-2 Study Guide and Intervention (continued) Parallelograms Diagonals of ParallelogramsTwo important properties of parallelograms deal with their diagonals If ABCD is a parallelogram then If a quadrilateral is a parallelogram then its diagonals bisect each other AP = PC and DP = PB



(PDF) Study Guide and Intervention Workbook ISAIAH HEILMAN -

6-2 Study Guide and Intervention Substitution Solve by Substitution One method of solving systems of equations is substitution Example 1: Use substitution to solve the system of Example 2: Solve for one variable equations then substitute y = 2x 4x – y = –4 Substitute 2x x + 3y = 7 2x – 4y = –6 for 4x – y = –4



6-2 Study Guide and Intervention - Central Dauphin School

Title: Chapter 6 Resource Masters Author: Glencoe/McGraw-Hill Subject: Glencoe Geometry Created Date: 12/10/2014 9:30:50 PM



2-6 Study Guide and Intervention - Ms Wallenberg's Math Site

Chapter 2 36 Glencoe Algebra 2 2-6 Study Guide and Intervention Special Functions Piecewise-Defined Functions A piecewise-defined function is written using two



Searches related to 6 2 study guide and intervention

Study Guide and Intervention (continued) Inverse Functions and Relations Example 1 Example 2 yes no no no yes yes yes no yes yes yes 011_020_ALG2_A_CRM_C06_CR_660551

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

NAME DATE PERIOD

PDF Pass

Chapter 6 12 Glencoe Algebra 2

Inverse RelationsTwo relations are inverse relations if and only if whenever one relation contains the

element ( a , b), the other relation contains the element (b, a).

Property of Inverse

FunctionsSuppose f and f

1 are inverse functions.

Then f(a) = b if and only if f

1 b ) = a.

Find Inverses

Find the inverse of the function f(x) =

2 5 x 1 5 . Then graph the function and its inverse. Step 1 Replace f(x) with y in the original equation. f(x) = 2 5 x - 1 5 → y = 2 5 x - 1 5

Step 2 Interchange x and y.

x = 2 5 y - 1 5

Step 3 Solve for y.

x = 2 5 y - 1 5

Inverse of y =

2 5 x - 1 5

5x = 2y - 1

Multiply each side by 5.

5x + 1 = 2y Add 1 to each side.

1

2 ( 5x + 1) = y Divide each side by 2.

The inverse of

f(x) = 2 5 x - 1 5 is f 1 x 1 2 (5x + 1).

Exercises

Find the inverse of each function. Then graph the function and its inverse.

1. f(x) =

2 3 x - 1 2. f(x) = 2x - 3 3. f(x) = 1 4 x - 2xO f(x) = 2-5 x 1-5 24
2 2 2 4 4

4f(x)f

-1 x 5-2 x 1-2 xO f 1 x 1-2 x 3-2 f x 2 x 3 f(x) 24
4 2 2 4 -4xO f x 2-3 x 1 f -1 x 3-2 x 3- 2 f(x) 24
4 2 2 4 -4 xO f(x) = 1-4 x - 2 f 1 x 4 x 8 f(x) 24
2 4 2 2 4 -4

6-2Study Guide and Intervention

Inverse Functions and Relations

Example

f 1 x) = 3 2 x + 3 2 f 1 x) = 1 2 x + 3 2 f 1 x) = 4x + 8

011_020_ALG2_A_CRM_C06_CR_660551.indd 12

011_020_ALG2_A_CRM_C06_CR_660551.indd 1212/20/10 9:20 PM12/20/10 9:20 PM

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Lesson 6-2

NAME DATE PERIOD

PDF Pass

Chapter 6 13 Glencoe Algebra 2

6-2

Verifying Inverses

Determine whether f(x) = 2x - 7 and g(x) =

1 2 (x + 7) are inverse functions. [f g](x) = f[g(x)] [g f](x) = g[f(x)] f 1 2 (x + 7) = g(2x - 7) 2 1 2 (x + 7) - 7 = 1 2 (2x - 7 + 7) x + 7 - 7 = x x

The functions are inverses since both [f

g](x) = x and [g f](x) = x.

Determine whether f(x) = 4x +

1 3 and g(x) = 1 4 x - 3 are inverse functions. [f g](x) = f[g(x)] = f 1 4 x - 3 4 1 4 x - 3 1 3 = x - 12 + 1 3 = x - 11 2 3

Since [f

g](x) ≠ x, the functions are not inverses.

Exercises

Determine whether each pair of functions are inverse functions. Write yes or no.

1. f(x) = 3x - 1 2. f(x) =

1 4 x + 5 3. f(x) = 1 2 x - 10 g(x) = 1 3 x + 1 3 g(x) = 4x - 20 g(x) = 2x + 1 10

4. f(x) = 2x + 5 5. f(x) = 8x - 12 6. f(x) = -2x + 3

g(x) = 5x + 2 g(x) = 1 8 x + 12 g(x) = - 1 2 x + 3 2

7. f(x) = 4x -

1 2

8. f(x) = 2x -

3 5

9. f(x) = 4x +

1 2 g(x) = 1 4quotesdbs_dbs21.pdfusesText_27
[PDF] 6 2 study guide and intervention dividing polynomials

[PDF] 6 2 study guide and intervention solving exponential equations and inequalities

[PDF] 6 2 study guide and intervention solving quadratic equations by graphing

[PDF] 6 3 practice solving linear systems using inverses and cramers rule

[PDF] 6 3 skills practice

[PDF] 6 3 study guide and intervention

[PDF] 6 3 study guide and intervention answer key

[PDF] 6 3 study guide and intervention answers

[PDF] 6 3 study guide and intervention converting rates and measurements

[PDF] 6 3 study guide and intervention similar triangles answer key

[PDF] 6 3 study guide and intervention solving multi step inequalities

[PDF] 6 3 study guide and intervention solving multi step inequalities answers

[PDF] 6 3 study guide and intervention solving quadratic equations by factoring

[PDF] 6 3 study guide and intervention square root functions and inequalities

[PDF] 6 3 study guide and intervention tests for parallelograms