Even and Odd Functions Worksheet with Answer Key

What's on the worksheet

1. Decide if each function is even, odd or neither, and give an input that shows neither.
   f(x) = 2x^6 - x^4 + 9f(x) = x^5 - 4x^3 + 2x^2f(x) = -3x^9 + xf(x) = x^4 - x^3f(x) = 7
2. Decide even, odd or neither, looking at the domain first.
   f(x) = \dfrac{x^2 + 2}{x^3}f(x) = \dfrac{|x|}{x}f(x) = \sqrt{16 - x^2} + xf(x) = |x^3 - 2x|f(x) = x^2 for -2 \le x \le 3
3. Test the graph of each equation for the three symmetries and give a counterexample point.
   x^2 y = 6x = y^2 - 2yx^2 - xy + y^2 = 7
4. Find what is wrong with Arjun's test of an even function.
5. Find every value of k that makes the function even, and decide the other cases.
6. Use known values of an odd and an even function to find values of a combined function.