Section 2.1 Input and Output

Slides:



Advertisements
Similar presentations
Functions Solving Equations Simplifying & Solving Variables.
Advertisements

Curve Fitting Learning Objective: to fit data to non-linear functions and make predictions Warm-up (IN) 1.Find all the critical points for 2.Solve by factoring.
1.5 Use Problem Solving Strategies and Models Word Problems, YAY!
Finding Limits Using Tables and Graphs Sections 11.1.
1 Lab Assignment#5 Due 12/7 A car can hold 12 gallons of gasoline and it can travel 360 miles without refuelling. Write a program the displays the trip.
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.
1 Calculating Mode Shift and Congestion Relief-Related Greenhouse Gas Displacement For the Current Year (see last slide for contact information)
$100 $200 $300 $400 $500 $200 $300 $400 $500 Graphing Events/ Relations Function rules, tables, and graphs Number Patterns Direct Variation Inverse.
Functions Teacher Twins©2014.
1 STAT 500 – Statistics for Managers STAT 500 Statistics for Managers.
1. Section 2.4 Composition and Inverse Functions 2.
Section 2.2 Function Notation and Linear Functions.
Investigation. At a jazz club, the cost of an evening is based on a cover charge of $5 plus a beverage charge of $3 per drink. – Find a formula for t(x),
Functions. Warm Up Solve each equation. 1.2x – 6 = x = X + 29 = x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11.
Functions MA.8.A.1.6 Compare the graphs of linear and non-linear functions for real-world situations. MA.912.A.2.3 Describe the concept of a function,
1.2 Represent Functions as Rules and Tables EQ: How do I represent functions as rules and tables??
Math Basketball Honors Pre-Calculus Mid-Chapter 3 Quiz Review.
Chapter 1 Section 1.1Functions. Functions A Notation of Dependence ◦ What does that mean? Rule which takes certain values as inputs and assigns them exactly.
Formalizing Relations and Functions Section 4-6 Part 2 December 10, 2014.
Chapter 4.5 Exponential and Logarithm Functions. Exponential Equations We solved exponential equations in earlier sections. General methods for solving.
Functions Section 1.4. Relation The value of one variable is related to the value of a second variable A correspondence between two sets If x and y are.
Section 9.2 Cross Sectional Modeling & Rates of Change.
Do Now 5/19/10 Take out HW from last Thursday.
1. INPUT AND OUTPUT Chapter 2 Section 1 2 You will remember the following problem from Chapter 1, Section 1: 3Page 62.
4.6 Formalizing relations and functions
Activity 1.2. Some definitions… Independent variable is another name for the input variable of a function Independent variable is another name for the.
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.
EXAMPLE 1 Use a formula High-speed Train The Acela train travels between Boston and Washington, a distance of 457 miles. The trip takes 6.5 hours. What.
DOMAIN, RANGE, AND INTERCEPTS NOTES: 9/8. DOMAIN The set of all input values of a function.  x RANGE The set of all output values of a function.  f(x)
Finding the Inverse.  If f(a) = b, then a function g(x) is an inverse of f if g(b) = a.  The inverse of f(x) is typically noted f -1 (x), which is read.
 The following graph shows bakery profits from bread sales. How do you determine the equation of the quadratic relation from its graph?
Check it out! 1.5.1: Rearranging Formulas 1. Read the scenario below. Write an equation and use it to answer the questions that follow. In January 2011,
Problem Solving Using Algebraic Models. Corporate Average Fuel Economy (CAFE) standards require auto manufacturers to produce cars so that the average.
3.1 Functions. Determining Inputs and Outputs The cost of a tank of gas depends on the number of gallons purchased. The volume of a cube depends on the.
Algebra 1 Section 3.1 Identify and express functions in various forms Many times two quantities are related to each other. The cost of buying gasoline.
Function Notation and Making Predictions Section 2.3.
SEMESTER 1 FINAL REVIEW B I have created a pile of sheets. Take a sheet. Work on the sheet. You have been taught how to ‘do this sheet.’ At 11:00 we will.
The following table contains the evaluation of the Taylor polynomial centered at a = 1 for f(x) = 1/x. What is the degree of this polynomial? x T(x) 0.5.
Section 9.4 – Solving Differential Equations Symbolically Separation of Variables.
MAT 150 Algebra 1-7 Modeling Linear Functions
Chapter 6 Section 3.
Bellwork Identify the focus, directrix, and axis of symmetry of the parabola. Graph the equation. Also describe the Transformations 6
Functions (Notation and Evaluating)
4.8 Functions and Relations
Model Functions Input x 6 = Output Input x 3 = Output
Using the Slope Formula
إستراتيجيات ونماذج التقويم
8.6.2 Representations of Functions
Relations vs. Functions Function Notation, & Evaluation
Function Notation “f of x” Input = x Output = f(x) = y.
example 3 Miles Per Gallon
Functions (Notation and Evaluating)
Chapter 5: Relations & Functions
Grade Distribution 3rd 5th 8th A 7 3 B C D 1 F 8 No Shows 100+
Evaluating Logarithms
(4)² 16 3(5) – 2 = 13 3(4) – (1)² 12 – ● (3) – 2 9 – 2 = 7
Quiz #2: Functions Wednesday, February 25.
Functions Solving Equations Simplifying & Solving Variables on Both
Writing Equations from Tables
By the end of this lesson, you will know how to: Evaluate a function
DO NOW A video game company’s revenue is represented by the equation R = –12p2 + 400p  where p is the price in dollars of the video game.
Linear Functions The output of function “f” when x is used as the input Independent Variable Slope: the difference in “f” for consecutive values of x y-intercept:
1.7 Functions Objective: Students should be able to identify what the domain and range of a function are. They should know how to determine if something.
Warm-up 5/22/2019 Day 6.
I can graph a function with a table
Tell whether the relation below is a function.
Objective- To graph a relationship in a table.
By, Mrs. Muller Functions.
Changing Education Paradigms
Lesson 3.3 Writing functions.
Presentation transcript:

Section 2.1 Input and Output

Finding Output Values Consider the function In your groups find the following

Finding Input Values Consider the function Find the x value where f(x) = 0 Find the x value where f(x) = 12 Find the x value where f(x) = -4 Find the x value where f(x) = -12

Between 1960 and 1999, the size and shape of automobiles in the U. S Between 1960 and 1999, the size and shape of automobiles in the U.S. has changed almost annually. The amount of fuel consumed by these vehicles has also changed. The table below displays the average fuel consumed per year per passenger car in gallons of gasoline. Evaluate and interpret F(1970) Solve and interpret F(t) = 576