5-4 Review Notes: Writing a Function Rule 5-5 Review: Direct Variation

Slides:

Advertisements

Similar presentations

Lesson 12.1 Inverse Variation pg. 642

Advertisements

Section 3 Direct Variation

2-3 Direct Variations.

Algebra 2 Chapter.

Write and graph a direct variation equation.

Direct Variation 5-2.

9.1 Inverse & Joint Variation

2.8 – Literal Equations and Dimensional Analysis

3.4 – Slope & Direct Variation. Direct Variation:

Section 5-4 Writing a Function Rule TPI 22A: produce an equation to describe the relationship between data sets Objective: Write a function rule given.

5-4 Writing a Function Rule

Constant of Proportionality

Solving & Applying Proportions

5.2 Direct Variation Direct Variation: the relationship that can be represented by a function if the form: Constant of variation: the constant variable.

Warm-Up 2 1.Solve for y: 2x + y = 6 2.Solve for y: 2x + 3y = 0.

5.5: Direct Variation. A function in the form y = kx, where k ≠ 0, is a direct variation. The constant of variation k is the coefficient of x. The variables.

3.6 – Proportional & Nonproportional Relationships

Notes Over 4.5 Writing a Direct Variation Equation In Exercises 1-6, the variable x and y vary directly. Use the given values to write an equation that.

6.4 Objective: To solve direct and inverse problems.

4.5 Direct Variation What is it and how do I know when I see it?

Drill #61 Find the slope of the line that passes through each pair of points: 1.( 6, -4 ), ( 8, -7 ) 2.( 8, 5 ), ( 8, -1) Determine the value of r so that.

I can write and graph an equation of a direct variation by identifying the constant of variation.

5-2 Direct Variation A direct variation is a relationship that can be represented by a function in the form y = kx, where k ≠ 0. The constant of variation.

Unit 3, Lesson 6 Constant of Proportionality and Writing Direct Variation Equations.

5-5 Direct Variation. Ex. 1 Is Direct Variation?

Essential Questions: When and how do you solve a system of equations using the substitution method? When and how do you solve a system of equations using.

Holt Algebra Direct Variation Use a graph of the function to find the value of f(x) when x = –4. Check your answer.

Chapter 4: Polynomial and Rational Functions. Warm Up: List the possible rational roots of the equation. g(x) = 3x x 3 – 7x 2 – 64x – The.

§2.5 Model Direct Variation CA Standard 2.0 Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with.

Definitions of the Day (DODs)

Math 10 Lesson #2 Inverse Variation Mrs. Goodman.

I can write and graph an equation of a direct variation.

Direct Variation 3.6. Direct Variation  Direct Variation is when two variables can be expressed as y=kx where k is a constant and k is not 0.  k is.

Warm Up Solve for y: 1) 2). HW Check 4.7 CORE Time Complete the Puggly Wuggly Worksheet.

Direct Variation & Inverse Variation (SOL A.8) Chapters 5-2 & 11-6.

Section Direct and Inverse Variation. Lesson Objective: Students will: Formally define and apply inverse and direct variation.

Chapter 4: Polynomial and Rational Functions. Determine the roots of the polynomial 4-4 The Rational Root Theorem x 2 + 2x – 8 = 0.

DO NOW: Write each expression as a sum of powers of x:

2.3 - Direct Variation.

2.1 The Derivative and The Tangent Line Problem Slope of a Tangent Line.

2.2 Direct Variation. Identifying Direct Variation From Tables For each function, determine whether y varies directly with x. If so, what is the constant.

Chapter 3.1 Variation.

Direct Variation Chapter 5 Section 2. Objective  Students will write and graph an equation of a direct variation.

Writing a direct variation equation. write a direct variation problem when y = 20 and x = 10 y = kx 20 = k·10 k = 2 y = 2x.

NOTES 2.3 & 9.1 Direct and Inverse Variation. Direct Variation A function in the form y = kx, where k is not 0 Constant of variation (k) is the coefficient.

8-1/2-2 DIRECT AND INVERSE VARIATION. Direct Variation Equation: y = kx Solve for constant “k” k = y/x As x increases, y increases As x decreases, y decreases.

What do you guess?. # of hours you studyGrade in Math test 0 hour55% 1 hour65% 2 hours75% 3 hours95%

Inverse Variation Lesson 11-1 SOL A.8. Inverse Variation.

AIM: What is symmetry? What are even and odd functions? Do Now : Find the x and y intercepts 1)y = x² + 3x 2) x = y² - 4 (3x + 1)² HW #3 – page 9 (#11-17,

5-4 Notes: Writing a Function Rule

Definitions of the Day (DODs) 11.1 – Inverse Variation (Please have a calculator) Inverse Variation Constant Of Variation.

Direct Variation If two quantities vary directly, their relationship can be described as: y = kx where x and y are the two quantities and k is the constant.

Daily Vocabulary Coefficient matrix Matrix of constants.

Direct and Inverse Variations

Aim: What are the properties of a quadratic equation?

Constant of Proportionality

3.1 Polynomial & Exponential Derivatives

Direct Variation.

Inverse & Joint Variation

5-2 Direct Variation What is Direct Variation?

2.3: Direct Variation Objective: Determine if a function is a direct variation function.

Direct and Inverse Variations

Direct and Inverse Variations

5-2 Direct Variation.

2.3: Direct Variation Objective: Determine if a function is a direct variation function.

What is it and how do I know when I see it?

Warm Up – August 14, 2017 Solve for y. 3 + y = 2x 6x = 3y

5.5 Direct Variation Pg. 326.

What is it and how do I know when I see it?

Presentation transcript:

5-4 Review Notes: Writing a Function Rule 5-5 Review: Direct Variation

Example 1: Writing a Function Rule from a Table What do you do to x to get f(x)? X f(X) 1 5 2 6 3 7 4 8 Relate: f(x) equals x plus 4 f(x)= x + 4

2. x y 1 3 9 6 36 81 Relate: y equals x times itself y = x2

3. x f(x) 1 -1 2 3 4 Relate: f(x) equals x minus 2 f(x)= x-2

4. x y 1 2 4 3 6 8 Relate: y equals x times 2 y = 2x

Example 2: Real World Problem Solving A carpenter buys finishing nails by the pound. Each pound of nails costs $1.19. Write a function rule to describe this relationship. Relate: cost equals 1.19 times nails (x) C(x) = 1.19x

Direct Variation A function in the form y = kx. The constant of variation (k) is the coefficient of x. Step 1: Solve for y. Step 2: Is it in y = kx form?

Ex 1: Is the equation in direct variation form? 5x + 2y = 0 5x + 2y = 9 7y = 2x y – 7.5x = 0

Ex. 2: Writing an equation given a point . (4, -3) (-3, -6) (-3, 2)

Ex. 3: Does the table vary directly, if so write an equation in direct variation form. -3 2.25 1 -0.75 4 6 -4.5

X Y 2 -1 4 1 6 3 9 4.5

HW #12 Pg. 256 (1-17) Pg. 264 (1-21 odd)