Grade 11 · Math · Algebra 2

11th grade Even and odd functions worksheet

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Even and odd functions

Grade 11 Math Worksheet - Challenge Me

NameDate

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

1.
On a worksheet, f(x) = x/(x² + 1). Luz works out f(-x). Is f even, odd or neither?
- Even
- Odd
- Neither
2.
In a notebook, Milo tests f(x) = x|x| with -x. Is f even, odd or neither?
- Odd
- Neither
- Even
3.
Noah works in pencil with f(x) = |x| + x. Is f even, odd or neither?
- Odd
- Even
- Neither
4.
On a puzzle card, f(x) = x/(x⁴ + 2). Pia sorts it. Is f even, odd or neither?
- Even
- Neither
- Odd
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?
- Even
- Odd
- Neither
6.
Zee works in pencil: f(x) = x⁴ is even and g(x) = 2x is odd. Is f + g even, odd or neither?
- Even
- Odd
- Neither
On a worksheet, f is odd, and f(x) = x² − 3x for x ≥ 0 only. Bo needs f(-5). What is it?
In a notebook, Esme has an even function f with f(x) = x³ + 1 when x ≥ 0. What is f(-2)?
Jun works in pencil: f is odd, and the rule f(x) = 2x² − 5x holds for x ≥ 0. What is f(-4)?
On a puzzle card, f is even and f(x) = x³ − 2x² for x ≥ 0. Kira wants f(-4). What is it?

Even and odd functions. Every version has 10 questions, and the answer key prints on the second page.

I can work out f(-x) and compare it with f(x).
I can tell whether a function is even, odd or neither from a table, a graph or a rule.
I can use even or odd to find f(-3) from f(3).

Standard: F-BF.B.3

even function: f(-x) = f(x): its graph is a mirror image over the y-axis.

odd function: f(-x) = -f(x): its graph matches itself after a half turn about (0, 0).

mirror rows: The rows for x and -x, side by side.

neither: Some mirror pair breaks both rules.

Your child flipped the sign for an even function. Even means mirror rows match: f(-3) = f(3).

Your child kept the same output for an odd function. Odd means mirror rows are opposites: f(-3) = -f(3).

Your child wrote -f(x) for f(-x), changing every sign. Only odd powers change sign.

Ask: even or odd, and what does that mean?

Ask: what is (-2)²?

What is the most common mistake with even and odd functions?

Your child flipped the sign for an even function. Even means mirror rows match: f(-3) = f(3).

How can I help my child with even and odd functions?

Ask: even or odd, and what does that mean?

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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