Writing a Function Rule

Slides:



Advertisements
Similar presentations
RELATIONS AND FUNCTIONS
Advertisements

2.1 Functions and their Graphs p. 67. Assignment Pp #5-48 all.
4.4 Writing a Function Rule
Lesson 4 – 3 Function Rules, Tables and Graphs
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.
Objective: To write a function rule given a table or a real-world situation.
Graphing Lines.  The best way to learn about lines is to work with them without a calculator.  We are going to practice graphing lines by finding our.
12.2 Functions and Graphs F(X) = x+4 where the domain is {-2,-1,0,1,2,3}
3-3 Writing Functions Warm Up Lesson Presentation Lesson Quiz
1.1 Relations and Functions
Notes 4.6– FORMALIZING RELATIONS AND FUNCTIONS
Function Rules In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection with other concepts in.
Unit #3 Lesson 8. x f(x) Ask yourself: “What must I do to turn 1 into 2, 2 into 3, 3 into 4, and so on?” A rule for the function is f(x)
Page 237 #28 – 36 even, 40, 42, 45, 46, 50 – 52 (12 pbs – 16 pts) Math Pacing Writing Equations for Patterns a 7 = 22 a n = 19 + (– 2)(n – 1)a n = – 2n.
Relations and Functions
Introduction to Functions
2-4 functions Objective: define relations, functions, domain and range; evaluate functions; analyze graphs. Miss battaglia – algebra 1 cp.
1.4 Functions I. Function A) Definition = a relation in which each value of x has exactly one solution y. B) Testing for functions. 1) From a graph: Use.
Chapter 8: Linear Functions & Graphing 8.4 Writing Rules for Linear Functions.
6.5 Point – Slope Form. Quick Review 1. What is the Slope-Intercept Form? y = mx + b 2. What is the Standard Form? Ax + By = C 3. How does an equation.
Direct and Inverse Variation. Direct Variation Two functions are said to vary directly if as the magnitude of one increases, the magnitude of the other.
FUNCTIONS Relation – a set of ( x, y ) points Function – a set of ( x, y ) points where there is only one output for each specific input – x can not be.
MAT 213 Brief Calculus Section 1.1 Models, Functions and Graphs.
5.3 Function Rules, Tables, & Graphs. List some pairs of numbers that will satisfy the equation x + y = 4. x = 1 and y = 3 x = 2 and y = 2 x = 4 and y.
LESSON 7.4 Function Notation To learn function notation To evaluate functions by substitution, by using the graphs drawn by hand, and on the graphing calculator.
Chapter 7 Day 3 Book Section 7.5 Get 2 grids for the 2 shift problems!
Direct Variation Section 1.9.
By: Jared Martin 6 th period. Real world problem  Josh got $ for his birthday, and he bought x pair of shoes with it.
5.2 Relations and Functions. Identifying Relations and Functions Relation: A set of ordered pairs. You can list the set of ordered pairs in a relation.
Chapter 5 Graphs and Functions. Section 1: Relating Graphs to Events Graphs have rules to follow: ▫Read all graphs from LEFT to RIGHT ▫Pay attention to.
Functions LINEAR AND NON LINEAR. Linear function What is the function that states that the range values are 2 more than the domain values?  f(x) = x.
1. Which property justifies the following statement? If 3a + 3b = 12 then 3(a+b) = 12 1.Commutative property of multiplication 2.Distribution property.
Write a function rule given a table or a real-world situation.
5-4: Writing a Function Rule
Chapter 4 – Graphing Linear Equations and Functions Algebra I A - Meeting 23 Example # 1 Step 1 : Make a Input-Output Table: Step 2 : List & Plot the Ordered.
MODULE 3-3, 3-4 (MODELING FUNCTIONS) What is function notation? Writing function rules: write equations from given descriptions and evaluate for a specific.
Writing a Function Rule
Splash Screen.
Input/Output tables.
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.
Relations and Functions Pages
Writing a Function Rule
Function Notation Warm Up
VOCABULARY! EXAMPLES! Relation: Domain: Range: Function:
Unit 5 Quadratic Functions.
Equations as Relations
Functions Introduction.
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.
Objectives Identify linear functions and linear equations.
FUNCTION NOTATION AND EVALUATING FUNCTIONS
I'm pretty sure there's a lot more to life than being really, really, ridiculously good looking. And I plan on finding out what that is.
5.2 Relations and Functions
I'm pretty sure there's a lot more to life than being really, really, ridiculously good looking. And I plan on finding out what that is.
1.1- Relations and Functions
(4)² 16 3(5) – 2 = 13 3(4) – (1)² 12 – ● (3) – 2 9 – 2 = 7
Objectives Identify linear functions and linear equations.
Splash Screen.
Objective The student will be able to:
Objective The student will be able to:
Writing a Function Rule
Objective The student will be able to:
Objective The student will be able to:
Objective The student will be able to:
Section 7.2B Domain and Range.
4.3 Function Rules, Tables, and Graphs
By: Gilberto Rodriguez
UNDERSTANDING FUNCTIONS
Writing Rules for Linear Functions Pages
Write a function rule for each situation.
Splash Screen.
Presentation transcript:

Writing a Function Rule 5.4 Writing a Function Rule

Quick Review 1. What does “f(x)” mean? f(x) is the same as y, just a different notation. 2. How do you find the range, if you are given the domain? Plug in the domain values to find the range. 3. How do you graph a function? Make a table and pick at least 3 points to plug into the “x” and graph each ordered pair.

Write a Function Rule (Table) Step: 1. Find a pattern. Think, “how did they get from x to y?” 2. Write an equation from the pattern. 3. Check the equation for a couple of domain values.

Write a Function Rule (Table) x y 1 5 2 6 3 7 4 8 x y 1 2 4 3 6 8 3. x f(x) 1 3 9 6 36 81 1. 2. y = x + 4 y = 2x f(x) = x2

Write a Function Rule (Table) x y 1 -1 2 3 4 x f(x) 1 3 2 6 9 4 12 6. x y -1 -3 -4 1 -5 2 -6 4. 5. y = x – 2 f(x) = 3x y = -x – 4

Write a Function Rule (Situation) Step: 1. Define your variables (2). 2. Write an equation according to the situation. 3. Check the equation.

Write a Function Rule (Situation) Write a function rule for each situation. 7. The total cost t(c) of c ounces of cinnamon if each ounce costs $.79 t(c) = total cost c = ounces t(c) = $.79c

Write a Function Rule (Situation) Write a function rule for each situation. 8. The height f (h) of an object in feet when you know the height h in inches. f (h) = height in feet h = height in inches f (h) = h/12

Write a Function Rule (Situation) Write a function rule for each situation. 9. The area A (n) of a square when you know the length n of a side. A(n) = area of sqaure n = length of side A (n) = n2

Write a Function Rule (Situation) Write a function rule for each situation. 10. In 2006, the price of mailing a letter was $.39 for the first ounce or part of an ounce and $.24 for each ounce or part of an ounce after the first ounce. t(c) = total cost c = ounces t(c) = $.24(c – 1) + $.39

5.4 – Writing a Function Rule Real world examples The journalism class makes $25 per page of advertising in the yearbook. If the class sells p pages of advertising, how much money will it earn? a. Write a function rule to describe the relationship. b. The class sold 6 pages of advertising, how much money did the class make?

5.4 – Writing a Function Rule The choir spent $100 producing audio tapes of its last performance and will sell the tapes for $5.50 each. Write a rule to describe the choir’s profit as a function of the number of tapes sold.

Wrap Up Writing a Function Rule From a table From a situation Always check your equation to see if it makes sense! DLUQ: What is a function rule?