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What is the symmetry?

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Page 1: What is the symmetry? f(x)= x 3 –x

What is the symmetry?

Page 2: What is the symmetry? f(x)= x 3 –x

What is the symmetry?

Page 3: What is the symmetry? f(x)= x 3 –x

What is the symmetry?

http://www.google.com/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&uact=8&ved=0CAcQjRw&url=http://www2.bc.cc.ca.us/resperic/Math6A/Lectures/ch1/1/evenodd/evenodd.htm&ei=NHTWVKW5KoSiNsOwgvgL&bvm=bv.85464276,d.cWc&psig=AFQjCNEcyICUDZHANVXyECivjQdDH3vMgA&ust=1423426862262379
Page 4: What is the symmetry? f(x)= x 3 –x

What is the symmetry?

http://www.google.com/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&uact=8&ved=0CAcQjRw&url=http://www.vitutor.com/calculus/functions/even_odd.html&ei=h3TWVPyeFcm4ggS8hIGgAg&bvm=bv.85464276,d.cWc&psig=AFQjCNEcyICUDZHANVXyECivjQdDH3vMgA&ust=1423426862262379
Page 5: What is the symmetry? f(x)= x 3 –x

What is the symmetry?

Page 6: What is the symmetry? f(x)= x 3 –x

What is the symmetry?

Page 7: What is the symmetry? f(x)= x 3 –x

What is the symmetry?

Page 8: What is the symmetry? f(x)= x 3 –x

What is the symmetry?

f(x)= x3 –x

Page 9: What is the symmetry? f(x)= x 3 –x

What is the symmetry?

Page 10: What is the symmetry? f(x)= x 3 –x

What is the symmetry?

Page 11: What is the symmetry? f(x)= x 3 –x

What is the symmetry?

http://www.google.com/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&uact=8&ved=0CAcQjRw&url=http://www2.seminolestate.edu/lvosbury/College%20Algebra%20Folder/ExamplesForSection32.htm&ei=t3bWVP3kIca1ggT4p4DYAQ&bvm=bv.85464276,d.cWc&psig=AFQjCNEcyICUDZHANVXyECivjQdDH3vMgA&ust=1423426862262379
Page 12: What is the symmetry? f(x)= x 3 –x

What is the symmetry?

f(x)= x2 + 5

Page 13: What is the symmetry? f(x)= x 3 –x

What is the symmetry?

http://www.google.com/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&uact=8&ved=0CAcQjRw&url=http://www.mathematics-online.org/inhalt/aussage/aussage29/&ei=8XTWVLHeEoa4ggSC-IGwDQ&bvm=bv.85464276,d.cWc&psig=AFQjCNEcyICUDZHANVXyECivjQdDH3vMgA&ust=1423426862262379
Page 14: What is the symmetry? f(x)= x 3 –x

What is the symmetry?

f(x)= x2 –x + 5

Page 15: What is the symmetry? f(x)= x 3 –x

You asymptote it

Page 16: What is the symmetry? f(x)= x 3 –x

Where is the horizontal asymptote?

Page 17: What is the symmetry? f(x)= x 3 –x

f(x) =

61x

What is the vertical asymptote?

Page 18: What is the symmetry? f(x)= x 3 –x

Where is the vertical asymptote?

Page 19: What is the symmetry? f(x)= x 3 –x

Where is the horizontal asymptote?

Page 20: What is the symmetry? f(x)= x 3 –x

Where is the vertical asymptote?

Page 21: What is the symmetry? f(x)= x 3 –x

Where is the vertical asymptote?

Page 22: What is the symmetry? f(x)= x 3 –x

Where is the horizontal asymptote?

Page 23: What is the symmetry? f(x)= x 3 –x

f(x) =

61x

What is the horizontal asymptote?

Page 24: What is the symmetry? f(x)= x 3 –x

Where is the vertical asymptote?

Page 25: What is the symmetry? f(x)= x 3 –x

Where is the horizontal asymptote?

Page 26: What is the symmetry? f(x)= x 3 –x

Where is the vertical asymptote?

Page 27: What is the symmetry? f(x)= x 3 –x

Where is the vertical asymptote?

Page 28: What is the symmetry? f(x)= x 3 –x

Where is the horizontal asymptote?

Page 29: What is the symmetry? f(x)= x 3 –x

f(x) = 431 x

What is the vertical asymptote?

Page 30: What is the symmetry? f(x)= x 3 –x

Where is the horizontal asymptote?

Page 31: What is the symmetry? f(x)= x 3 –x

Where is the horizontal asymptote?

Page 32: What is the symmetry? f(x)= x 3 –x

f(x) = 431 x

What is the horizontal asymptote?

Page 33: What is the symmetry? f(x)= x 3 –x

Where is the vertical asymptote?

Page 34: What is the symmetry? f(x)= x 3 –x

Where is the horizontal asymptote?

Page 35: What is the symmetry? f(x)= x 3 –x

Where is the vertical asymptote?

Page 36: What is the symmetry? f(x)= x 3 –x

Hope the D & R don’t get you

Page 37: What is the symmetry? f(x)= x 3 –x

What is the range?

Page 38: What is the symmetry? f(x)= x 3 –x

What is the domain?

Page 39: What is the symmetry? f(x)= x 3 –x

What is the range?

Page 40: What is the symmetry? f(x)= x 3 –x

What is the domain?

Page 41: What is the symmetry? f(x)= x 3 –x

What is the range?

Page 42: What is the symmetry? f(x)= x 3 –x

f(x) = 431 x

What is the domain?

Page 43: What is the symmetry? f(x)= x 3 –x

What is the range?

Page 44: What is the symmetry? f(x)= x 3 –x

What is the domain?

Page 45: What is the symmetry? f(x)= x 3 –x

What is the domain?

Page 46: What is the symmetry? f(x)= x 3 –x

What is the range?

Page 47: What is the symmetry? f(x)= x 3 –x

What is the domain?

Page 48: What is the symmetry? f(x)= x 3 –x

What is the domain?

Page 49: What is the symmetry? f(x)= x 3 –x

What is the range?

Page 50: What is the symmetry? f(x)= x 3 –x

What is the domain?

Page 51: What is the symmetry? f(x)= x 3 –x

f(x) = 431 x

What is the range?

Page 52: What is the symmetry? f(x)= x 3 –x

f(x) =

61x

What is the domain?

Page 53: What is the symmetry? f(x)= x 3 –x

What is the range?

Page 54: What is the symmetry? f(x)= x 3 –x

f(x) =

61x

What is the range?

Page 55: What is the symmetry? f(x)= x 3 –x

What is the range?

Page 56: What is the symmetry? f(x)= x 3 –x

What is the domain?

Page 57: What is the symmetry? f(x)= x 3 –x

Which graph is which?

Page 58: What is the symmetry? f(x)= x 3 –x

Which graph?

A B C

D

Page 59: What is the symmetry? f(x)= x 3 –x

Which graph?

A B C

D

Page 60: What is the symmetry? f(x)= x 3 –x

Which graph?

A B C

D

Page 61: What is the symmetry? f(x)= x 3 –x

Which graph?

A B C

D

Page 62: What is the symmetry? f(x)= x 3 –x

Which graph?

CBA

D

Page 63: What is the symmetry? f(x)= x 3 –x

Which graph?

f(x)

A B C

D

Page 64: What is the symmetry? f(x)= x 3 –x

Which graph?

f(x)

A B C

D

Page 65: What is the symmetry? f(x)= x 3 –x

Which graph?

f(x) = 251 x

A B C

D

Page 66: What is the symmetry? f(x)= x 3 –x

Which graph?

f(x) = 51 x

A B C

D

Page 67: What is the symmetry? f(x)= x 3 –x

Which graph?

f(x) = 431 x

A B C

D

Page 68: What is the symmetry? f(x)= x 3 –x

Which graph?

f(x) = 61x

A B C

D

Page 69: What is the symmetry? f(x)= x 3 –x

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