Graph a function EXAMPLE 2 The table shows the average score s on the mathematics section of the Scholastic Aptitude Test (SAT) in the United States from.

Slides:

Advertisements

Similar presentations

Advertisements

EXAMPLE 1 Making a Frequency Table. EXAMPLE 1 To find which type of art project was chosen most often, you can make a frequency table. Making a Frequency.

Section 4.2 Graphing Linear Equations Using Tables

EXAMPLE 2 Making a Double Bar Graph SOLUTION To make a double bar graph of the data, start by drawing bars for the boys.Then draw bars for the girls. Be.

EXAMPLE 1 Making a Frequency Table Science The numbers of named stars in a group of 34 constellations are listed below. Make a frequency table of the data.

EXAMPLE 1 Graph a function of the form y = ax 2 Graph y = 2x 2. Compare the graph with the graph of y = x 2. SOLUTION STEP 1 Make a table of values for.

Copyright © Cengage Learning. All rights reserved. 3 Exponential and Logarithmic Functions.

EXAMPLE 1 Speeds of Animals

Use intercepts to graph an equation

EXAMPLE 3 Write an equation for a function

EXAMPLE 1 Describe the correlation of data Describe the correlation of the data graphed in the scatter plot. a. The scatter plot shows a positive correlation.

EXAMPLE 1 SOLUTION STEP 1 Graph a function of the form y = a x Graph the function y = 3 x and identify its domain and range. Compare the graph with the.

EXAMPLE 1 Making a Bar Graph The top five international tourist destinations and number of visitors are listed in the table. How can you represent the.

EXAMPLE 1 Choosing an Appropriate Data Display ANSWER Either a box-and-whisker plot or a histogram will show how the data are distributed without showing.

SAT Score Range Critical Reading: Mathematics: Writings: ACT Composite Score : ACT Score Range.

Chapter Scatter plots. SAT Problem of the day  Nicoletta deposits $150 in her savings account. If this deposit represents a 12 percent increase.

EXAMPLE 1 Find the axis of symmetry and the vertex Consider the function y = – 2x x – 7. a. Find the axis of symmetry of the graph of the function.

EXAMPLE 1 Find partial sums SOLUTION S 1 = 1 2 = 0.5 S 2 = = S 3 = Find and graph the partial sums S n for n = 1,

2.11 Warm Up Graph the functions & compare to the parent function, y = x². Find the vertex, axis of symmetry, domain & range. 1. y = x² y = 2x².

Represent Functions as Graphs

1.8 Represent Functions as graphs

Warm-Up Exercises EXAMPLE 1 Describe the correlation of data Describe the correlation of the data graphed in the scatter plot. a. The scatter plot shows.

P 251 Laboratory Activity II Graphical Analysis I.

3-2 Relations and Functions

In 2009, the mean mathematics score was 21 with a standard deviation of 5.3 for the ACT mathematics section. ReferenceReference Draw the normal curve in.

Do Now 10/26/10 In your notebook, explain how you know a function is a function. Then answer if the following three tables are functions or not. x

EXAMPLE 2 Graph an exponential function Graph the function y = 2 x. Identify its domain and range. SOLUTION STEP 1 Make a table by choosing a few values.

1.8 Represent Functions as Graphs

Regents Exam Review August 2011 Part B-2 to D. Base your answers to questions 44 through 47 on the data table below and on your knowledge of biology.

SOLUTION STEP 1 Use intercepts to graph an equation EXAMPLE 2 Graph the equation x + 2y = 4. x + 2y = 4 x =  x- intercept 4 Find the intercepts. x + 2(0)

SOLUTION EXAMPLE 1 Find the image of a glide reflection The vertices of ABC are A(3, 2), B(6, 3), and C(7, 1). Find the image of ABC after the glide reflection.

Examples and Guided Practice come from the Algebra 1 PowerPoint Presentations available at

EXAMPLE 1 Graph a function

Example 2 Graphing Using Slope-Intercept Form 1

EXAMPLE 1 Describe the correlation of data Describe the correlation of the data graphed in the scatter plot. a. The scatter plot shows a positive correlation.

EXAMPLE 2 Plot points in a coordinate plane

Solve the equation for y. SOLUTION EXAMPLE 2 Graph an equation Graph the equation –2x + y = –3. –2x + y = –3 y = 2x –3 STEP 1.

SUBMERSIBLES Use a linear model EXAMPLE 5 A submersible designed to explore the ocean floor is at an elevation of –13,000 feet (13,000 feet below sea level.

Unit 2 Section 2.2 – Day : More Graphs and Displays  Sometimes data will be represented by paired data sets (two values that correspond to one.

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.

Lesson 3.6 (Continued) Graphing Exponential Functions : Graphing Exponential Functions.

EXAMPLE 1 Compare graph of y = with graph of y = a x 1 x 1 3x3x b. The graph of y = is a vertical shrink of the graph of. x y = 1 = y 1 x a. The graph.

An interactive tutorial Created by Mr. Klugman 9 / 12 / 99 Do the Tutorial…Teach me!Go right to the graphing.

SWBAT… distinguish between an exponential and linear function Mon, 4/9 Agenda 1. Exponential vs. linear functions (30 min) 2. Work on Summer Jobs project.

1.7 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Represent Functions as Graphs.

EXAMPLE 1 Graph y = b for b > 1 x SOLUTION Make a table of values.STEP 1 STEP 2 Plot the points from the table. Graph y =. x 2 STEP 3 Draw, from left to.

4.3 Graphing Using Intercepts Objective: Graph a linear equation using intercepts.

Lesson 8.2 Exponential Decay. Lesson 8.2 Exponential Decay.

Chapter 7 Section 2. EXAMPLE 1 Graph y = b for 0 < b < 1 x Graph y = 1 2 x SOLUTION STEP 1 Make a table of values STEP 2 Plot the points from the table.

Warm-Up Exercises 1. Make a table for y = 2x + 3 with domain 0, 3, 6, and Write a rule for the function. ANSWER y = 3x + 1 x0369 y Input, x.

Since all points on the x-axis have a y-coordinate of 0, to find x-intercept, let y = 0 and solve for x Since all points on the y-axis have an x-coordinate.

Warm Up Solve each equation for y. 1. 2x + y = 3 2. –x + 3y = –6

EXAMPLE 1 Making a Frequency Table.

9/19/16 HOW to make a graph Objective: I will construct a graph from a data table and include all of the required parts of a graph. PAGE 11.

Exponential Functions

Warm Up Problem Solve for x: 6x + 1 = 37.

Scatter Plots Section 1-5.

You might want to start your title ‘A graph to show....’

Graphing Linear Equations

Organizing and Visualizing Data

y x y = x + 2 y = x + 4 y = x – 1 y = -x – 3 y = 2x y = ½x y = 3x + 1

Exponential and Logarithmic Functions

Represent Functions as Graphs

y x y = x + 2 y = x + 4 y = x – 1 y = 6x – 3 y = 2x y = ½x y = 3x + 1

1. Make a table for y = 2x + 3 with domain 0, 3, 6, and 9.

Title: FRQ Help There are 4 questions: 1 document based, 1 data, 2 evaluation.

I can graph a function with a table

Coordinates Picture For each instruction, join up the coordinates.

Presentation transcript:

Graph a function EXAMPLE 2 The table shows the average score s on the mathematics section of the Scholastic Aptitude Test (SAT) in the United States from 1997 to 2003 as a function of the time t in years since In the table, 0 corresponds to the year 1997, 1 corresponds to 1998, and so on. Graph the function Average score, s Years since 1997, t SAT Scores

SOLUTION STEP 1 Choose a scale. The scale should allow you to plot all the points on a graph that is a reasonable size. EXAMPLE 2 Graph a function The s -values range from 511 to 519, so label the s- axis from 510 to 520 in increments of 2 units. The t -values range from 0 to 6, so label the t -axis from 0 to 6 in increments of 1 unit.

STEP 2 Plot the points. EXAMPLE 2 Graph a function

EXAMPLE 2 GUIDED PRACTICE for Example 2 WHAT IF? In Example 2, suppose that you use a scale on the s -axis from 0 to 520 in increments of 1 unit. Describe the appearance of the graph. 2. The graph would be very large with all the points near the top of the graph. ANSWER