Symmetry with Odd and Even Functions

Select ALL symmetries displayed in the graph.

• symmetry with respect to the x-axis

• symmetry with respect to the y-axis

• symmetry with respect to the origin

• all of the above

• none of the above

Tags

CCSS.HSF.BF.B.3

Select ALL symmetries of the graphed relation.

• symmetry with respect to the x-axis

• symmetry with respect to the y-axis

• symmetry with respect to the origin

• none of the above

Tags

CCSS.HSF.BF.B.3

All even functions have symmetry to the x-axis.

• True

• False

Tags

CCSS.HSF.BF.B.3

All odd functions have symmetry with respect to the origin.

• True

• False

Tags

CCSS.HSF.BF.B.3

The function with the graph depicted is an even function.

• True

• False

Tags

CCSS.HSF.BF.B.3

If a function has symmetry with respect to the x-axis and the point (1, 4) is on the graph, which other point must be on the graph?

• (-1, -4)

• (-1, 4)

• (1, -4)

• (4, 1)

Tags

CCSS.HSF.BF.B.3

If a function has symmetry with respect to the origin and the point (-3, 5) is on the graph, which other point must be on the graph?

• (-5, 3)

• (5, -3)

• (3, -5)

• (-3, 5)

Tags

CCSS.HSF.BF.B.3

If a function is an even function and the point (-2, 7) is on the graph, which other point must be on the graph?

• (-2, -7)

• (2, 7)

• (2, -7)

• (-7, 2)

Tags

CCSS.HSF.BF.B.3