Understanding functions

Is the function even, odd, or neither?
 f(x)=5

• even
• odd
• neither

An apple tree has 62 apples on it.

Are there an odd or even number of apple on the tree?

• Even

• Odd

An integer that is divisible by 2.

0, 2, 4, 6, 8

• odd number

• even number

Is this function even, odd or neither?

• Even

• Odd

• Neither

Is this an even function?

• Yes

• No

Answer explanation

Although this is a quadratic function, the axis of symmetry is not at x = 0

----- ----- ----- -----

Axis of symmetry is at x = 3 so this is not an even function

----- ----- ----- -----

Function will not look the same if reflected over y-axis

For the graph above, is it the graph of an even or odd function?

• even

• odd

Even, odd, or neither?

• Even

• Odd

• Neither

The function shown in the graph is:

• A

  even

• B

  odd

• C

  neither even nor odd

• D

  both even and odd

What type of symmetry does the function have?

• none

• reflection symmetry

• rotation symmetry

To prove a function is an odd function, you must show:

• f(x)=f(-x)

• f(x)=-f(x)

• -f(x)=f(-x)

• f(x)=-f(-x)