# Worksheet: Even and Odd Functions

In this worksheet, we will practice deciding whether a function is even, odd, or neither both from a graph of the function and from its rule.

**Q3: **

If a function is even, then its curve is symmetric about what?

- Athe -axis
- Bthe origin point
- Cthe -axis

**Q4: **

If a function is odd, then its curve is symmetric about what?

- Athe -axis
- Bthe origin point
- Cthe -axis

**Q8: **

Determine whether the function is even, odd, or neither.

- Aeven
- Bneither even nor odd
- Codd

**Q10: **

Is the function represented by the figure even, odd or neither even nor odd?

- Aeven
- Bneither even nor odd
- Codd

**Q11: **

Which of the following points form an odd function?

- A, , , ,
- B, , , ,
- C, , , ,
- D, , , ,

**Q12: **

How can you tell from a graph that a function is odd?

- AThere is no way you can tell.
- BNone of the points on the graph have an even -coordinate.
- CThe graph has point symmetry about the origin.
- DThe graph is mirror-symmetric in the -axis.
- EThe values of the function are all odd numbers.

**Q13: **

How can you tell from a graph that a function is even?

- AThere is no way you can tell.
- BThe values of the function are all even numbers.
- CNone of the points on the graph have an odd -coordinate.
- DThe graph is mirror-symmetric in the -axis.
- EThe graph has point symmetry in the origin.

**Q14: **

Is the function even, odd, or neither even nor odd?

- AOdd
- BEven
- CNeither even nor odd

**Q15: **

Determine whether the function , where , is even, odd, or neither even nor odd.

- Aeven
- Bneither even nor odd
- Codd

**Q16: **

Suppose that is an even function, where is an integer. What can be said about ?

- A is an odd number.
- B is an even number.
- CNothing can be deduced about .
- D can be any number.
- EThere is no such .

**Q19: **

Determine whether the function , where , is even, odd, or neither even nor odd.

- Aneither even nor odd
- Bodd
- Ceven

**Q21: **

Which of the following points form a curve that represents an even function?

- A, , , ,
- B, , , ,
- C, , , ,
- D, , , ,

**Q22: **

Is the function even, odd or neither even nor odd?

- Aneither even nor odd
- Beven
- Codd

**Q24: **

Is the function even, odd or neither even nor odd?

- Aeven
- Bodd
- Cneither even nor odd

**Q25: **

Is the function even, odd, or neither even nor odd?

- Aodd
- Beven
- Cneither even nor odd