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146 day3 October 08, 2014 y=x+2 zero at x=2 degree:1 (odd) end behave: disco lead: 1(positive) end behave: disco right

Degree:2 End Behaviour: parabola - MCCCporterr/course/146/documents/146d3... · 2019. 8. 30. · 146 day3 October 08, 2014 zeros:2,0,3 factors: (x+2)x(x3) degree:3 "faces" there are

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Page 1: Degree:2 End Behaviour: parabola - MCCCporterr/course/146/documents/146d3... · 2019. 8. 30. · 146 day3 October 08, 2014 zeros:2,0,3 factors: (x+2)x(x3) degree:3 "faces" there are

146 day3 October 08, 2014

y=x+2

zero at x=­2

degree:1 (odd)

end behave: disco

lead: 1(positive)

end behave: disco right

Page 2: Degree:2 End Behaviour: parabola - MCCCporterr/course/146/documents/146d3... · 2019. 8. 30. · 146 day3 October 08, 2014 zeros:2,0,3 factors: (x+2)x(x3) degree:3 "faces" there are

146 day3 October 08, 2014

Degree:2

End Behaviour: parabola

Lead:1

End is Happy

y=(x+2)(x­3)

factors

zeros:­2,3

"passing thru"

Page 3: Degree:2 End Behaviour: parabola - MCCCporterr/course/146/documents/146d3... · 2019. 8. 30. · 146 day3 October 08, 2014 zeros:2,0,3 factors: (x+2)x(x3) degree:3 "faces" there are

146 day3 October 08, 2014

degree:2

zero: ­2,­2

graph "touches" at ­2

Page 4: Degree:2 End Behaviour: parabola - MCCCporterr/course/146/documents/146d3... · 2019. 8. 30. · 146 day3 October 08, 2014 zeros:2,0,3 factors: (x+2)x(x3) degree:3 "faces" there are

146 day3 October 08, 2014

zeros:­2,0,3

factors: (x+2)x(x­3)

degree:3

"faces"there are 3

disco right means..

lead is +

"pass thru" every zero

Page 5: Degree:2 End Behaviour: parabola - MCCCporterr/course/146/documents/146d3... · 2019. 8. 30. · 146 day3 October 08, 2014 zeros:2,0,3 factors: (x+2)x(x3) degree:3 "faces" there are

146 day3 October 08, 2014

degree: odd/3

3 faces.

lead: negative

disco left

zeros: ­2(pass) ,3 (touching),3

factors: ­(x+2)(x­3)(x­3)

Page 6: Degree:2 End Behaviour: parabola - MCCCporterr/course/146/documents/146d3... · 2019. 8. 30. · 146 day3 October 08, 2014 zeros:2,0,3 factors: (x+2)x(x3) degree:3 "faces" there are

146 day3 October 08, 2014

"Jig" = 3 faces

degree: 4 1 jig

lead: + (happy parabola)

zeros: 0, 0,0,  2

factors: x,x,x,(x­2)

Page 7: Degree:2 End Behaviour: parabola - MCCCporterr/course/146/documents/146d3... · 2019. 8. 30. · 146 day3 October 08, 2014 zeros:2,0,3 factors: (x+2)x(x3) degree:3 "faces" there are

146 day3 October 08, 2014

=(x­1)(x+3)(x­3)

=­2x*x(x+4)

Page 8: Degree:2 End Behaviour: parabola - MCCCporterr/course/146/documents/146d3... · 2019. 8. 30. · 146 day3 October 08, 2014 zeros:2,0,3 factors: (x+2)x(x3) degree:3 "faces" there are

146 day3 October 08, 2014

Page 9: Degree:2 End Behaviour: parabola - MCCCporterr/course/146/documents/146d3... · 2019. 8. 30. · 146 day3 October 08, 2014 zeros:2,0,3 factors: (x+2)x(x3) degree:3 "faces" there are

146 day3 October 08, 2014

stat edit

enter data 

stat > calc 6: cubicreg

stat > calc 6: quarticreg

plots on

zoom stat 

graph

use table...

Make a prediction in words!

Page 10: Degree:2 End Behaviour: parabola - MCCCporterr/course/146/documents/146d3... · 2019. 8. 30. · 146 day3 October 08, 2014 zeros:2,0,3 factors: (x+2)x(x3) degree:3 "faces" there are

146 day3 October 08, 2014

remainder

Page 11: Degree:2 End Behaviour: parabola - MCCCporterr/course/146/documents/146d3... · 2019. 8. 30. · 146 day3 October 08, 2014 zeros:2,0,3 factors: (x+2)x(x3) degree:3 "faces" there are

146 day3 October 08, 2014

w=4L

h=L+5

L=L

v=L*W*H

26=L*(4L)*(L+5)

intersection method

y1=26

y2=x(4x)(x+5)

Page 12: Degree:2 End Behaviour: parabola - MCCCporterr/course/146/documents/146d3... · 2019. 8. 30. · 146 day3 October 08, 2014 zeros:2,0,3 factors: (x+2)x(x3) degree:3 "faces" there are

146 day3 October 08, 2014

  i  *  i = ­1

x^2+3xi­3xi­9i2 =  x2 ­ 9(­1) = x2+9

magnary 3i   has conjugate ­3i

complex   3+2i has conjugate 3­2i

Page 13: Degree:2 End Behaviour: parabola - MCCCporterr/course/146/documents/146d3... · 2019. 8. 30. · 146 day3 October 08, 2014 zeros:2,0,3 factors: (x+2)x(x3) degree:3 "faces" there are

146 day3 October 08, 2014

degree: 4

zeros:(4 of them): ­1, ­1, 2­3i, so....2+3i is the forth!

factors: (x+1)(x+1)(x­2+3i)(x­2­3i)

Page 14: Degree:2 End Behaviour: parabola - MCCCporterr/course/146/documents/146d3... · 2019. 8. 30. · 146 day3 October 08, 2014 zeros:2,0,3 factors: (x+2)x(x3) degree:3 "faces" there are

146 day3 October 08, 2014