# 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 origin point
- Bthe -axis
- Cthe -axis

**Q4: **

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

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

**Q5: **

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

- Aeven
- Bodd
- Cneither even nor odd

**Q6: **

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

- Aeven
- Bodd
- Cneither even nor odd

**Q7: **

Determine whether the function is even, odd, or neither, given that

- Aneither even nor odd
- Bodd
- Ceven

**Q8: **

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

- Aneither even nor odd
- Beven
- Codd

**Q9: **

Determine whether the function represented by the following figure is even, odd, or neither even nor odd.

- Aneither even nor odd
- Bodd
- Ceven

**Q10: **

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

- Aneither even nor odd
- Beven
- 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?

- A There is no way you can tell.
- B The graph is mirror-symmetric in the -axis.
- C The values of the function are all odd numbers.
- D The graph has point symmetry about the origin.
- E None of the points on the graph have an even -coordinate.

**Q13: **

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

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

**Q14: **

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

- ANeither even nor odd
- BOdd
- CEven

**Q15: **

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

- Aodd
- Beven
- Cneither even nor odd

**Q16: **

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

- A is an even number.
- BThere is no such .
- C can be any number.
- D is an odd number.
- ENothing can be deduced about .

**Q17: **

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

- ANeither even nor odd
- BEven
- COdd

**Q18: **

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

- Aneither even nor odd
- Beven
- Codd

**Q19: **

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

- Aeven
- Bodd
- Cneither even nor odd

**Q20: **

Is the function 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?

- Aodd
- Beven
- Cneither even nor odd

**Q23: **

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?

- Aneither even nor odd
- Beven
- Codd

**Q25: **

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

- Aneither even nor odd
- Bodd
- Ceven