Quiz about Symmetry with Odd and Even Functions

Question 1

Select ALL symmetries displayed in the graph.

Accepted Answer

symmetry with respect to the x-axis

Answer

symmetry with respect to the y-axis

Answer

symmetry with respect to the origin

Answer

all of the above

Answer

none of the above

Question 2

Select ALL symmetries of the graphed relation.

Accepted Answer

symmetry with respect to the origin

Accepted Answer

symmetry with respect to the y-axis

Accepted Answer

symmetry with respect to the x-axis

Answer

none of the above

Question 3

All even functions have symmetry to the x-axis.

Accepted Answer

False

Answer

True

Question 4

All odd functions have symmetry with respect to the origin.

Accepted Answer

True

Answer

False

Question 5

The function with the graph depicted is an even function.

Accepted Answer

True

Answer

False

Question 6

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?

Accepted Answer

(1, -4)

Answer

(-1, -4)

Answer

(-1, 4)

Answer

(4, 1)

Question 7

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?

Accepted Answer

(3, -5)

Answer

(-5, 3)

Answer

(5, -3)

Answer

(-3, 5)

Question 8

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

Accepted Answer

(2, 7)

Answer

(-2, -7)

Answer

(2, -7)

Answer

(-7, 2)

Symmetry with Odd and Even Functions