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