Worksheet: Determining the Parity (Even and Oddness) of Functions

Demonstrate your mastery of the parity of functions by completing this worksheet. Determine whether a function is even, odd, or neither, both by considering the symmetries of its graph and by substitution and algebraic manipulation of its defining rule.

Q1:

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

Athe -axis
Bthe origin point
Cthe -axis

Q2:

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

Athe origin point
Bthe -axis
Cthe -axis

Q3:

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

Aodd
Bneither even nor odd
Ceven

Q4:

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

Aeven
Bneither even nor odd
Codd

Q5:

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

Aneither even nor odd
Beven
Codd

Q6:

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

Aeven
Bneither even nor odd
Codd

Q7:

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

Aneither even nor odd
Beven
Codd

Q8:

Determine whether the function represented in the figure below is even, odd, or neither even nor odd.

Aneither even nor odd
Beven
Codd

Q9:

Determine whether the function represented in the figure below is even, odd, or neither even nor odd.

Aeven
Bneither even nor odd
Codd

Q10:

Determine whether the function represented in the figure below is even, odd, or neither even nor odd.

Aodd
Bneither even nor odd
Ceven

Q11:

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

Aodd
Bneither even nor odd
Ceven

Q12:

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

Aeven
Bneither even nor odd
Codd

Q13:

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

Aneither even nor odd
Bodd
Ceven

Q14:

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

Aeven
Bneither even nor odd
Codd

Q15:

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

Aodd
Bneither even nor odd
Ceven