Even and Odd Functions

All even functions have symmetry to the x-axis.

• True

• False

All odd functions have symmetry with respect to the origin.

• True

• False

The function with the graph depicted is an even function.

• True

• False

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)

The function shown in the graph is:

• even
• odd
• neither even nor odd
• both even and odd

The function in the graph is:

• even
• odd
• neither even nor odd
• both even and odd

The function shown in the graph is:

• even
• odd
• neither odd nor even
• both odd and even

Which one of the following functions is even?

• f(x) = x⁴ + x³
• g(x) = x⁴ + x²
• h(x) = x⁵ + x³
• k(x) = x³ + x