Even and odd functions

Answer Key - Grade 11 Math Worksheet - Challenge Me

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

1. 1.

   On a worksheet, f(x) = x/(x² + 1). Luz works out f(-x). Is f even, odd or neither?

   • Even
   • Odd
   • Neither
2. 2.

   In a notebook, Milo tests f(x) = x|x| with -x. Is f even, odd or neither?

   • Neither
   • Odd
   • Even
3. 3.

   Noah works in pencil with f(x) = |x| + x. Is f even, odd or neither?

   • Neither
   • Odd
   • Even
4. 4.

   On a puzzle card, f(x) = x/(x⁴ + 2). Pia sorts it. Is f even, odd or neither?

   • Neither
   • Odd
   • Even
5. 5.

   In a notebook, Tala has the odd function f(x) = x³ − x and the odd function g(x) = 7x. Is f·g even, odd or neither?

   • Odd
   • Even
   • Neither
6. 6.

   Zee works in pencil: f(x) = x⁴ is even and g(x) = 2x is odd. Is f + g even, odd or neither?

   • Odd
   • Even
   • Neither
7. 7.

   On a puzzle card, f(x) = x³ is odd and g(x) = -6x is odd. Ari adds them. Is f + g even, odd or neither?

   • Even
   • Odd
   • Neither
8. 8.

   On a worksheet, f is odd, and f(x) = x² − 3x for x ≥ 0 only. Bo needs f(-5). What is it?

   -10
9. 9.

   Jun works in pencil: f is odd, and the rule f(x) = 2x² − 5x holds for x ≥ 0. What is f(-4)?

   -12
10. 10.

    On a puzzle card, f is even and f(x) = x³ − 2x² for x ≥ 0. Kira wants f(-4). What is it?

    32