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Worksheet: Determining the Parity (Evenness and Oddness) of a Function

Q1:

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

  • Aneither even nor odd
  • Beven
  • Codd

Q2:

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

  • Aneither even nor odd
  • Bodd
  • Ceven

Q3:

Which of the following points form an odd function?

  • A ( 8 , 8 ) , ( 3 , 6 ) , ( 0 , 3 ) , ( 3 , 6 ) , ( 8 , 8 )
  • B ( 8 , 8 ) , ( 3 , 6 ) , ( 0 , 0 ) , ( 3 , 6 ) , ( 8 , 8 )
  • C ( 8 , 8 ) , ( 3 , 6 ) , ( 0 , 3 ) , ( 3 , 6 ) , ( 8 , 8 )
  • D ( 8 , 8 ) , ( 3 , 6 ) , ( 0 , 0 ) , ( 3 , 6 ) , ( 8 , 8 )

Q4:

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 𝑦 -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 𝑦 -coordinate.

Q5:

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 𝑦 -axis.
  • ENone of the points on the graph have an odd 𝑦 -coordinate.

Q6:

Is the function 𝑓 ( 𝑥 ) = 2 𝑥 1 5 𝑥 4 2 , even, odd or neither even nor odd?

  • Aneither even nor odd
  • Bodd
  • Ceven

Q7:

Determine whether the function 𝑓 ( 𝑥 ) = 9 𝑥 2 , where 𝑓 + + , is even, odd, or neither even nor odd.

  • Aodd
  • Beven
  • Cneither even nor odd

Q8:

Suppose that 𝑘 ( 𝑥 ) = 𝑥 is an even function, where 𝑛 0 is an integer. What can be said about 𝑛 ?

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

Q9:

Is the function 𝑓 ( 𝑥 ) = 𝑥 6 𝑥 5 4 t a n even, odd or neither even nor odd?

  • Aneither even nor odd
  • Beven
  • Codd

Q10:

Is the function 𝑓 ( 𝑥 ) = 8 𝑥 + 8 𝑥 𝑥 3 even, odd, or neither even nor odd?

  • Aneither even nor odd
  • Beven
  • Codd

Q11:

Determine whether the function 𝑓 ( 𝑥 ) = 𝑥 3 , where 𝑥 { 6 } , is even, odd, or neither even nor odd.

  • Aeven
  • Bodd
  • Cneither even nor odd

Q12:

Is the function 𝑓 ( 𝑥 ) = 4 𝑥 + 5 + 2 4 2 even, odd or neither even nor odd?

  • Aneither even nor odd
  • Bodd
  • Ceven

Q13:

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

  • A ( 6 , 8 ) , ( 5 , 7 ) , ( 0 , 1 ) , ( 5 , 7 ) , ( 6 , 8 )
  • B ( 6 , 8 ) , ( 5 , 7 ) , ( 0 , 0 ) , ( 5 , 7 ) , ( 6 , 8 )
  • C ( 6 , 8 ) , ( 5 , 7 ) , ( 0 , 1 ) , ( 5 , 8 ) , ( 6 , 7 )
  • D ( 6 , 8 ) , ( 5 , 7 ) , ( 0 , 1 ) , ( 5 , 7 ) , ( 6 , 8 )

Q14:

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

  • Aneither even nor odd
  • Bodd
  • Ceven

Q15:

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

  • Aeven
  • Bodd
  • Cneither even nor odd

Q16:

Is the function 𝑓 ( 𝑥 ) = 2 𝑥 3 3 even, odd or neither even nor odd?

  • Aodd
  • Beven
  • Cneither even nor odd

Q17:

Is the function 𝑓 ( 𝑥 ) = 𝑥 3 𝑥 8 𝑥 𝑥 5 3 even, odd, or neither even nor odd?

  • Aneither even nor odd
  • Beven
  • Codd

Q18:

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

  • Aeven
  • Bodd
  • Cneither even nor odd

Q19:

Is the function 𝑓 ( 𝑥 ) = 6 𝑥 6 𝑥 + 9 4 even, odd or neither even nor odd?

  • Aneither even nor odd
  • Beven
  • Codd

Q20:

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

  • Aneither even nor odd
  • Bodd
  • Ceven

Q21:

Which of the following functions is odd?

  • A 𝑓 ( 𝑥 ) = 7 𝑥 8 𝑥 t a n
  • B 𝑓 ( 𝑥 ) = 8 8 𝑥 s i n 2
  • C 𝑓 ( 𝑥 ) = 3
  • D 𝑓 ( 𝑥 ) = 5 𝑥 𝑥 2 t a n

Q22:

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

  • Aneither even nor odd
  • Beven
  • Codd

Q23:

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

  • Aneither even nor odd
  • Bodd
  • Ceven

Q24:

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

  • Athe 𝑦 -axis
  • Bthe 𝑥 -axis
  • Cthe origin point

Q25:

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

  • Athe origin point
  • Bthe 𝑥 -axis
  • Cthe 𝑦 -axis