3x + y = 5 2x 3y = 6 - amazon s3 · 2016-01-11 · use substitution to determine whether the given...

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Section 1.1 Part One Graphing MAC 1105 Salak.notebook 1 August 27, 2008 Jan 106:32 PM Use substitution to determine whether the given ordered pair is a solution of the given equation. MAC 1105 John Salak Section 1.1 Part One 5x + 2y 2 = 70 (4,5) 9x 8y = 5 ( 2/3 , 1/4) Jan 106:36 PM DRAWING A GRAPH USING A GRAPHING CALCULATOR: Step One: Always begin in a standard window! ZOOM 6 Step Two: Before being able to enter the function into the calculator, solve for y or f(x). Use a graphing calculator to create a table of values with TBLSTART = 3 and Δ TBL = 1. Sketch the graph. 3x + y = 5 2x 3y = 6

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Page 1: 3x + y = 5 2x 3y = 6 - Amazon S3 · 2016-01-11 · Use substitution to determine whether the given ordered pair is a solution of the given equation. MAC 1105 John Salak Section 1.1

Section 1.1 Part One ­ Graphing  MAC 1105  Salak.notebook

1

August 27, 2008

Jan 10­6:32 PM

Use substitution to determine whether the given ordered pairis a solution of the given equation.

MAC 1105  John SalakSection 1.1  Part One

5x + 2y2 =  70      (4,­5)

9x ­ 8y = 5        ( 2/3 ,  1/4)

Jan 10­6:36 PM

DRAWING A GRAPH USING A GRAPHING CALCULATOR:

Step One:  Always begin in a standard window!     ZOOM 6Step Two:  Before being able to enter the function into the calculator,  solve for y or f(x).

Use a graphing calculator to create a table of values with TBLSTART = ­3  and   Δ TBL = 1.   Sketch the graph.

­3x + y = 5 2x ­ 3y = 6

Page 2: 3x + y = 5 2x 3y = 6 - Amazon S3 · 2016-01-11 · Use substitution to determine whether the given ordered pair is a solution of the given equation. MAC 1105 John Salak Section 1.1

Section 1.1 Part One ­ Graphing  MAC 1105  Salak.notebook

2

August 27, 2008

Aug 27­8:29 AM

Aug 27­8:24 AM

Page 3: 3x + y = 5 2x 3y = 6 - Amazon S3 · 2016-01-11 · Use substitution to determine whether the given ordered pair is a solution of the given equation. MAC 1105 John Salak Section 1.1

Section 1.1 Part One ­ Graphing  MAC 1105  Salak.notebook

3

August 27, 2008

Jan 10­6:44 PM

y =  ­ x2  +  2x  +  4

Aug 27­8:35 AM

Page 4: 3x + y = 5 2x 3y = 6 - Amazon S3 · 2016-01-11 · Use substitution to determine whether the given ordered pair is a solution of the given equation. MAC 1105 John Salak Section 1.1

Section 1.1 Part One ­ Graphing  MAC 1105  Salak.notebook

4

August 27, 2008

Jan 10­6:45 PM

Use a graphing calculator to graph the equation in astandard window.

5x + y = ­8 y =  5 ­ x2

Aug 27­8:40 AM

Page 5: 3x + y = 5 2x 3y = 6 - Amazon S3 · 2016-01-11 · Use substitution to determine whether the given ordered pair is a solution of the given equation. MAC 1105 John Salak Section 1.1

Section 1.1 Part One ­ Graphing  MAC 1105  Salak.notebook

5

August 27, 2008

Aug 27­8:43 AM

Jan 10­6:47 PM

Graph the equation in the standard window  and in the given window.Determine which window better shows the shape of the graph as wellas the x­intercepts and y­intercepts.

y =  2x2 ­ 5      [ ­4, 4, ­4 , 4]

Page 6: 3x + y = 5 2x 3y = 6 - Amazon S3 · 2016-01-11 · Use substitution to determine whether the given ordered pair is a solution of the given equation. MAC 1105 John Salak Section 1.1

Section 1.1 Part One ­ Graphing  MAC 1105  Salak.notebook

6

August 27, 2008

Aug 27­8:49 AM

Jan 10­6:50 PM

y = ­ 2x + 24        [ ­15, 15, ­10, 30 ]                           xscl = 3    yscl = 5

Page 7: 3x + y = 5 2x 3y = 6 - Amazon S3 · 2016-01-11 · Use substitution to determine whether the given ordered pair is a solution of the given equation. MAC 1105 John Salak Section 1.1

Section 1.1 Part One ­ Graphing  MAC 1105  Salak.notebook

7

August 27, 2008

Aug 27­8:52 AM