# 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.

Q1:

Is the function represented by the figure even, odd or neither even nor odd? • Aeven
• Bneither even nor odd
• Codd

Q2:

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

• Aeven
• Bneither even nor odd
• Codd

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

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
• Bneither even nor odd
• Codd

Q7:

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

• Aeven
• Bneither even nor odd
• Codd

Q8:

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

• Aeven
• Bneither even nor odd
• Codd

Q9:

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

Q17:

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

• AEven
• BOdd
• CNeither even nor odd

Q18:

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

• Aeven
• Bodd
• Cneither even nor odd

Q19:

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

• Aneither even nor odd
• Bodd
• Ceven

Q20:

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

• Aodd
• Bneither even nor odd
• 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

Q23:

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

• Aneither even nor odd
• Bodd
• Ceven

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