Sketch a graph of the situation.

Slides:



Advertisements
Similar presentations
Writing a Function Rule
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),
To write and graph an equation of a direct variation
Lesson 4-7 Arithmetic Sequences.
Chapter 1. Mathematical Model  A mathematical model is a graphical, verbal, numerical, or symbolic representation of a problem situation.
Graphing Test Review Algebra. Express the relation as a set of ordered pairs and the inverse. xy
Standard 22 Identify arithmetic sequences Tell whether the sequence is arithmetic. a. –4, 1, 6, 11, 16,... b. 3, 5, 9, 15, 23,... SOLUTION Find the differences.
Writing a Function Rule. Independent and Dependent Variables Independent Variable –Will change no matter what –The first member of the ordered pair –Domain.
Lesson 4-6 Warm-Up.
Inverse Variation ALGEBRA 1 LESSON 8-10 (For help, go to Lesson 5-5.)
Direct Variation. A direct variation is… A linear equation The y-intercept must be zero!!!! The graph of a direct variation will ALWAYS go through the.
Write a function rule for a graph EXAMPLE 3 Write a rule for the function represented by the graph. Identify the domain and the range of the function.
11-6 Inverse Variation. Problem 1: Writing an Equation Given a Point.
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.
Objective The learner will write a function rule given a table or real-world situation.
Splash Screen.
Check 12-5 Homework.
Day 14 – September 13th and 14th Objective:
CHAPTER 2 SECTION 1.
Splash Screen.
Input/Output tables.
Objective – To use tables to represent functions.
Using Function Notation
Functions Review: 8.1 through 8.4 Sprint Relay
Pre-Algebra Unit 5 Review
Piecewise Functions 6-3 Warm Up Lesson Presentation Lesson Quiz
Functions & Relations.
Function- A pairing of inputs with outputs such that each input is paired with exactly one output. (the inputs can’t repeat) Domain- inputs or x values.
Relations and Functions Pages
Algebra 2 September 16, 2018 Goals:
EXAMPLE 1 Represent relations
7.4 Functions Designed by Skip Tyler.
1-7 Notes for Algebra 1 Functions.
2.1 – Represent Relations and Functions.
1.7 Represent Graphs as Functions
A function is given by a formula. Determine whether it is one-to-one
SLOPE = = = The SLOPE of a line is There are four types of slopes
VOCABULARY! EXAMPLES! Relation: Domain: Range: Function:
5-2 Direct Variation.
Closed Sequences.
Objectives Identify linear functions and linear equations.
VOCABULARY! EXAMPLES! Relation: Domain: Range: Function:
Sequences The values in the range are called the terms of the sequence. Domain: …....n Range: a1 a2 a3 a4….. an A sequence can be specified by.
FUNCTIONS Thinker! Real-World Functions
Formalizing Relations & Functions
Warm- Up #1 Monday, 2/1/2016 Reflect on your first semester in your math class and answer the following questions: Write three new things that you have.
x-Value = The horizontal value in an ordered pair or input Function = A relation that assigns exactly one value in the range to each.
Functions.
5.2 Relations and Functions
Do Now: Make a K-W-L Chart Complete what you KNOW about functions
BEFORE: October 17, 2017 Warm Up
Intro to Functions College Algebra
2.3 - Direct Variation.
(4)² 16 3(5) – 2 = 13 3(4) – (1)² 12 – ● (3) – 2 9 – 2 = 7
VOCABULARY! EXAMPLES! Relation: Domain: Range: Function:
Splash Screen.
Representing Linear Functions
Relations & Functions.
Objectives The student will be able to:
Relations and Functions. Direct Variation.
Writing a Function Rule
Objectives The student will be able to:
f(x) y x A function is a relation that gives a single
Sec 6-4 Learning Objectives The student will be able to:
Objectives The student will be able to:
Lesson 5.3 What is a Function?
Objectives The student will be able to:
Section 2.3 Direct Variation.
Objectives The student will be able to:
Splash Screen.
Presentation transcript:

Sketch a graph of the situation. The amount of milk in your container over one lunch period

Determine if the relation is a function Determine if the relation is a function. If it is, state the domain and range. (-2, 5), (8, 6), (3,12), (5,6), (5, 0) Not a function, one of the domain values (5) is paired with 2 range values!

Determine if the relation is a function Determine if the relation is a function. If it is, state the domain and range.

Using the domain (-2,-1, 0, 1, 2) graph the function Using the domain (-2,-1, 0, 1, 2) graph the function. Then identify the type of function. f(x) = 1.5x – 3 x y -2 -6 -1 -4.5 -3 1 -1.5 2 I helped out, you will have to do the table on your own on the test! This should graph a line!!!

Using the domain (-2,-1, 0, 1, 2) graph the function Using the domain (-2,-1, 0, 1, 2) graph the function. Then identify the type of function. f(x) = −𝑥 2 + 4

Write a function rule to describe the situation. The cost in dollars of printing dollar bills when it costs 3.8 cents to print a dollar bill. f(x) = .038x

Write a function rule to describe the situation. The amount of money you earn mowing lawns at $15 per lawn. F(x) = 15x

Write a function rule to describe the situation. The profit you make selling flowers at $1.50 each when each flower costs 80 cents. F(x) = .70x because you need to subtract .80 from 1.50 to see you much you make!

Write a function rule for the table. x y 1 3 2 5 -3 -5

Write a function rule for the table. x y 1 -4.5 -1 4.5 2 -9

Describe a situation that could be modeled by the equation y= 5x

The price of a turkey depends on its weight. Suppose turkeys sell for $.59 per pound. Write a rule to describe the function. What is the price of a 14 lb. turkey? If you had $10 to buy a turkey, how big a turkey could you buy? a. y = .59x b. (.59)(14)= $8.26 c. 10=.59x x= 16.9lbs

Write an equation of the direct variation that includes the point. (2,2) y = x

Write an equation of the direct variation that includes the point. (-8, -4)

Write an equation of the direct variation that includes the point. (-5, 3)

Determine whether the graph is direct variation, if yes, then write an equation for the graph. Yes, y = 1/4x

Determine whether the graph is direct variation, if yes, then write an equation for the graph.

The plumbing amount of water dripping from a leaky faucet varies directly with time. If water drips at a rate of 5 mL/min, how much water drips in 30 minutes?

What’s the common difference? And find the next 3 terms. -55, -50, -45, … D = 5, -40, -35, -30

What’s the common difference? And find the next 3 terms. 1.7, 2.7, 3.7,… D = 1 4.7, 5.7, 6.7

Find the fifth term. A(n) = 2 + (n – 1) (-2.5)

Find the fifth term. A(n) = -9 + (n – 1)3 3

Find the constant of variation for each inverse variation. y = 5 when x = 6 K = 5/6

Find the constant of variation for each inverse variation. y = 78 when x = 0.1 K = 780

Is the sequence arithmetic? Justify answer 128, 64, 32, …

Is the sequence arithmetic? Justify answer 3, 3.25, 3.75, …

Direct or inverse variation? Explain. The $45 cost of a dinner at a restaurant is split among several people. Inverse because the more people that there are the smaller the bill

Direct or inverse variation? Explain. You buy some books for $18 each. Direct, the more books you buy the higher the cost

Define Function. A relation were each domain value is paired with exactly 1 range value…no repeating x values

Define Domain and Range Domain = input= x values Range = out put = y values