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Special Graphs

Problems

Symmetry

Asymptotes and Holes

Problem : Is the following graph symmetric with respect to:
a) The x -axis?
b) The y -axis?
c) The origin?


Graph

a) Yes.
b) No.
c) No.

Problem : Is the following graph symmetric with respect to:
a) The x -axis?
b) The y -axis?
c) The origin?


Graph

a) No.
b) Yes.
c) No.

Problem : Is the following graph symmetric with respect to:
a) The x -axis?
b) The y -axis?
c) The origin?


Graph

a) No.
b) No.
c) Yes.

Problem : Is the following graph symmetric with respect to:
a) The x -axis?
b) The y -axis?
c) The origin?


Graph

a) Yes.
b) Yes.
c) Yes.

Problem : Is the following graph symmetric with respect to:
a) The x -axis?
b) The y -axis?
c) The origin?


Graph

a) No.
b) No.
c) No.

Problem : Is f (x) = x 2 symmetric with respect to the x -axis? The y -axis? The origin?

No, yes, no.

Problem : Is f (x) = x 3 symmetric with respect to the x -axis? The y -axis? The origin?

No, no, yes.

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