Even and odd functions

Answer Key - Grade 11 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. Read this first

   Table of f

   x	f(x)
   0	-4
   1	-2
   2	4
   3	14

2. 1.

   Esme's worksheet says f is even and shows part of its table. What is f(-3)?

   14
3. 2.

   Kira fills the mirror rows of the table in pencil. f is even. What is f(-5)?

   -19
4. 3.

   On a puzzle card, f is odd and its table is shown for x ≥ 0. Luz needs f(-3). What is it?

   2
5. 4.

   On a worksheet, f(x) = 2x⁴ − 3x² + 1. Milo replaces every x with -x. Type powers like x^2. What is f(-x)?

   2x^4 - 3x^2 + 1
6. 5.

   In a notebook, Noah has f(x) = x³ − 4x and works out f(-x). What is it, with like terms combined?

   -x^3 + 4x
7. 6.

   Pia works in pencil with f(x) = x³ + 2x² − 5. Type powers like x^2. What is f(-x)?

   -x^3 + 2x^2 - 5

8. Table of f

   x	f(x)
   -3	11
   -2	6
   -1	3
   0	2
   1	3
   2	6
   3	11

9. 7.

   Tala's worksheet shows the table of f for x from -3 to 3. Is f even, odd or neither?

   • Even
   • Odd
   • Neither
10. 8.

    In a notebook, Zee lines up the mirror rows of the table of f. Is f even, odd or neither?

    • Neither
    • Even
    • Odd
11. 9.

    Ari checks the table of f in pencil, pair by pair. Is f even, odd or neither?

    • Odd
    • Even, from one pair
    • Neither
12. 10.

    On a puzzle card, Bo sees the table of f. Is f even, odd or neither?

    • Even
    • Neither
    • Odd