We can use an equation, graph or table

Slides:

Advertisements

Similar presentations

Objective - To graph linear equations using the slope and y-intercept.

Advertisements

Math Minutes 1/20/ Write the equation of the line.

Identify Linear, Quadratic, and Exponential Functions N Distinguish quadratic and exponential functions as nonlinear using a graph and/or a table.

9-7 Linear, Quadratic, and Exponential Models

Warm-up 1. Graph y = 3 x. ANSWER Tell whether the ordered pairs (0, 0), (1, 2), (2, 4), and (3, 6) represent a linear function. 2. For y = x 2 – 3x – 5,

EXAMPLE 3 Write an equation for a function

Linear, Exponential, and Quadratic Functions. Write an equation for the following sequences.

5-1 Transforming Quadratics in Function Notation and Converting to Standard Form.

EXAMPLE 4 Solve a multi-step problem CYCLING

Choose functions using sets of ordered pairs EXAMPLE 1 Use a graph to tell whether the ordered pairs represent a linear function, an exponential function,

4.2 Graphing linear equations Objective: Graph a linear equation using a table of values.

SOLUTION EXAMPLE 4 Graph an equation in two variables Graph the equation y = – 2x – 1. STEP 1 Construct a table of values. x–2–1 012 y31 –3–5.

10.1 Graphing Quadratic Functions p. 17. Quadratic Functions Definition: a function described by an equation of the form f(x) = ax 2 + bx + c, where a.

Objectives Compare linear, quadratic, and exponential models.

EVALUATING FUNCTIONS FROM GRAPHS AND TABLES SECTIONS 5.1 & 14.1C.

LOGARITHMIC EQUATIONS. CREATE A LOGARITHMIC EQUATION  Create a logarithmic function of the form  f(x) = log b (x-h) + k.

Do Now Pass out calculators. You have about 10 minutes to work on your EOC Packet.

Roots, Zeroes, and Solutions For Quadratics Day 2.

Section 3.2 Comparing Exponential and Linear Functions.

FUNCTIONS REVIEW PRE-CALCULUS UNIT 1 REVIEW. STANDARD 1: DESCRIBE SUBSETS OF REAL NUMBERS What are the categories? Where would these be placed? 7, 6,

Holt McDougal Algebra 1 Comparing Functions Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz Holt McDougal.

How do we compare properties of two functions?

Holt Algebra Linear, Quadratic, and Exponential Models Warm Up 1. Find the slope and y-intercept of the line that passes through (4, 20) and (20,

9-7 Linear, Quadratic, and Exponential Models. Linear, Quadratic, & Exponential Review.

Warm Up 1. Find the slope and y-intercept of the line that passes through (4, 20) and (20, 24). The population of a town is decreasing at a rate of 1.8%

Topics: Be able to writes equations of Linear Functions from numerical representations. Be able to writes equations of Absolute Value Functions from numerical.

Module 13-2 Objectives Compare functions in different representations. Estimate and compare rates of change.

4.8 Functions and Relations

Lesson 3.5 Average Rate of Change (exponential functions)

Warm-Up April What is the domain and range of the function below? 2. What is the domain and range of the function below? Set Notation: Interval.

Notes Over 4.2 Is a Solution Verifying Solutions of an Equation

10.8 Compare Linear, Exponential, and Quadratic Models

COMPARING EXPONENTIAL AND LINEAR FUNCTIONS

10.8 Compare Linear, Exponential, and Quadratic Models

Comparing Linear, Exponential, and Quadratic Functions

Linear Equations Y X y = x + 2 X Y Y = 0 Y =1 Y = 2 Y = 3 Y = (0) + 2 Y = 2 1 Y = (1) + 2 Y = 3 2 Y = (2) + 2 Y = 4 X.

Coordinate Algebra Unit 3

10.8 Compare Linear, Exponential, and Quadratic Models

Warm-up 1. Graph y = 3x. ANSWER

Topics: Be able to writes equations of Linear Functions from numerical representations. Be able to writes equations of Absolute Value Functions from numerical.

Lesson 9-5 Comparing Functions

Before: March 12, 2018 Evaluate x² + 5x for x = 4 and x = -3.

Analyzing Functions, Curve Fitting (9-9)

Graph the function, not by plotting points, but by starting with the graph of the standard functions {image} given in figure, and then applying the appropriate.

Compare Linear, Exponential, and Quadratic Models

Properties of Functions

10.8 Compare Linear, Exponential, and Quadratic Models

Module 1, Day 7 Have Out: Bellwork:

6-2 Comparing Functions Warm Up Lesson Presentation Lesson Quiz

1.2 Analyzing Graphs of Functions and Relations

EXPONENTIAL FUNCTIONS

(4)² 16 3(5) – 2 = 13 3(4) – (1)² 12 – ● (3) – 2 9 – 2 = 7

Learning Targets Students will be able to: Compare linear, quadratic, and exponential models and given a set of data, decide which type of function models.

5.1 Solving Systems of Equations by Graphing

VOCABULARY! EXAMPLES! Relation: Domain: Range: Function:

Unit 6: Exponential Functions

Objectives Evaluate exponential functions.

Warm Up Simplify each expression. Round to the nearest whole number if necessary (3) –5(2)5 – – (0.5)2.

Objectives Compare linear, quadratic, and exponential models.

Module 1, Day 10 Have Out: Bellwork:

f(x) y x A function is a relation that gives a single

Objectives Compare properties of two functions.

Solve each quadratic using whatever method you choose!

Exponential Functions

1.) What is the value of the discriminant?

LINEAR & QUADRATIC GRAPHS

Lesson 4.1: Identifying linear functions

Presentation transcript:

We can use an equation, graph or table to see whether a function is linear, exponential or quadratic. Linear Function: y-values have a Exponential Function: Quadratic Function: Does the table of values to the right model a quadratic function? Linear Exponential Quadratic common difference common ratio common second difference

4. SAVINGS: Jon and Liz each have $1,000 which they plan to save. Graph each set of ordered pairs and determine whether the graph models a linear, an exponential, or a quadratic function. 1. {(-2, 11), (0, 5), (2, -1), (3, -4), (5, -10)} 2. {(-2, -16), (-1, -7), (1, 5), (3, 9), (6, 0)} 3. {(-1, 1.5), (0, 3), (1, 6), (2, 12), (3, 24)} 4. SAVINGS: Jon and Liz each have $1,000 which they plan to save. The functions that represent the amount of money y each will save after x years are shown below. Jon: Liz: Through year 5, who will have saved the most money? After year 15, who will have saved the most money?

We can use a table to find the average rate of change for a function (even if it is not linear) over a specific interval. Complete the tables. Then find the average rate of change for functions f(x), g(x), and h(x) for the specified intervals. Remember: Determine which of the three functions is increasing the fastest. a) [-2, 0] b) [0, 1] c) [3, 5] d) [0, 5] f(x) g(x) h(x) Which is increasing Which is increasing Which is increasing Which is increasing the fastest? the fastest? the fastest? the fastest?