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Modified over 3 years ago
Function Rules By: Christine Berg Edited By: V T Hamilton Edited By: V T Hamilton
Function The relationship between the input and output values
Function Each input value has EXACTLY one output value
Function Function Notation: f(n) = n + 5 OutputInput
Function Function Notation: f(n) = n + 5 Rule for Function
Function Example: You are driving a car 50 miles per hour (mph)
Function Example: D = r t d = 50t d=distance R= rate t=time
Function Set up a table using the previous function rule: d = 50 t Time(Input)12345 Distance(Output)
Function Find the Rule ~ Remember to define the variable. Look at next slide to see if you are correct Hours Worked Salary 1$6.50 2$13.00 3$19.50 4$26.00 5$32.50
Answer Define the variable s = salary h = hours Function Rule s = 6.50 h s = 6.50 h
Function Weeks Plant Height 13 25 37 49 511 Find the Rule ~ then look at next slide to see if you are correct
Answer Define the variable h = height w = number of weeks Function Rule h = 2 w + 1
Describe a function in your own words. Describe a function in your own words.
Function Rules. Function The relationship between the input and output values.
Writing a function rule You are traveling in a car at an average speed of 55mph. Whrite a function rule that describes the relationship between the time.
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.
©Evergreen Public Schools What is a Function Teacher Notes Notes: Today students will create their understanding of a function: “In a function each.
Graphs can help you see patterns in data. Steps to draw a graph: 1)Choose the scales and the intervals. 2)Draw the graph and plot the data. Estimate data.
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.
1.1 What you should learn Why you should learn it Variables in Algebra
Algebra 2 Chapter 2 Algebra 2 Chapter Relations and Functions Relation – Any set of inputs and outputs. Maybe represented as a Table Ordered.
g = PO D g = × 21 = × g = 12g 12g = 882 ÷12.
5.1 Accumulated Changes Example 1: An objects travels with a velocity of 15 mph. What is the distance traveled after 4 hours t v Distance = area.
X = 3y = 4z = 8 2x Step 1X = 3 Step 22(3) 2 – 6 2 Step 4 2(9) – 6 2Step 3 18 – 12 =6.
Holt CA Course Functions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.
Functions. Warm Up Solve each equation. 1.2x – 6 = x = X + 29 = x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11.
Transforming Formulas Chapter 4.4. What is a formula? A formula shows a relationship between two or more variables. To transform a formula, you rewrite.
Copyright © Cengage Learning. All rights reserved.
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.
4-3 Writing Functions Warm Up Lesson Presentation Lesson Quiz
Potpourri Sums 9.3 Geometric Sequences 9.2 Arithmetic Sequences 9.1 Sequences and Series $500 $400 $300 $200 $100.
Functions SECTION 8.1. Notes: Relations and Functions The ________________ is a value that does not depend upon another variable. The _________________.
A)Evaluate f(x)= 5x-3 for x=4 a)Graph the following point on a graph. *Label Each* (1, 3), (-1, 0), (1/2, -4), (0, 4)
Slide 1 Lesson 76 Graphing with Rates Chapter 14 Lesson 76 RR.7Understand that multiplication by rates and ratios can be used to transform an input into.
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Notes Over 4.8 Identifying Functions A relation where each input has exactly one output. Function Decide whether the relation is a function. If it is.
WARM UP What is the value of 4 5 x 4? Explain. WARM UP What is the value of 4 5 x 4 3 ? Explain.
Functions Teacher Twins©2014. Warm Up Solve each equation. 1.2x – 6 = x = X + 29 = x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11.
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.
Objectives: Use function notation to evaluate and interpret functions Use function notation to solve and graph functions Solve real-life problems using.
Jeopardy Topic 1Topic Q 1Q 6Q 11Q 16Q 21 Q 2Q 7Q 12Q 17Q 22 Q 3Q 8Q 13Q 18Q 23 Q 4Q 9Q 14Q 19Q 24 Q 5Q 10Q 15Q 20Q 25.
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Chapter 13 Fluids Physics for Scientists & Engineers, 3 rd Edition Douglas C. Giancoli © Prentice Hall.
Mosaics Connection Patterns & Functions.2. Learning Target Connecting Patterns & Functions Target 3a I can write and graph equations and use them to solve.
Name ______Lesson 2 – Patterns from Gr. 6_ Page 12 Tables.
Addition and Subtraction Equations Created by Christine Berg Edited by V Hamilton.
1 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt Synthetic.
FUNCTIONS We put the FUN in functions!!!!. Functions Definition: a relation in which each element of the domain is paired with exactly one element of.
2.3 Introduction to Functions Warm-up (IN) Evaluate each expression. Learning Objective: to state the domain and range of a relation and tell whether it.
VOCABULARY LIST UNIT TEST ON PROPORTIONAL REASONING.
한양대학교 정보보호 및 알고리즘 연구실 이재준 담당교수님 : 박희진 교수님
We need a common denominator to add these fractions.
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MT 8.3: Working with Rate, Time, and Distance The formula that has to be remembered for this section is… R ● T = D (Rate x Time = Distance) There are four.
7.3 Introduction to Relations and Functions. Objective 1 Distinguish between independent and dependent variables. Slide
1.2 Represent Functions as Rules and Tables EQ: How do I represent functions as rules and tables??
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