# DETERMINE IF THE FUNCTION IS EVEN OFF OR NEITHER WORKSHEET

Determine whether each function is even, odd, or neither.

Problem 1 :

g(x) = x³ - x

Solution

Problem 2 :

h(x) = x² + 1

Solution

Problem 3 :

f(x) = x³ - 1

Solution

Determine whether the function is even, odd, or neither. Then describe the symmetry.

Problem 4 :

f(x) = 5 - 3x

Solution

Problem 5 :

g(x) = x4 - x² - 1

Solution

Problem 6 :

h(x) = 2x³ + 3x

Solution

Problem 7 :

f(t) = t² + 2t - 3

Solution

Problem 8 :

g(x) = x³ - 5x

Solution

Problem 9 :

f(x) = x√1 - x²

Solution

Problem 10 :

f(x) = x√x + 5

Solution

1)  The function g(x) is odd.

2)  The function h(x) is even.

3)  So, the function is neither even nor odd.

4)  So, f(x) is neither even nor odd function.

5)  So, g(x) is even function.

6)  So, h(x) is odd function.

7)  So, f(t) is neither even nor odd function.

8)  So, g(x) is odd function.

9)  So, f(x) is odd function.

10)  f(x) is neither even nor odd function.

For each graph, determine whether the function is even, odd, or neither.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

1)  The graph is symmetric with respect to the y-axis. So, the function is even.

2)  The graph is symmetric with respect to the origin. So, the function is odd.

3)  So, the function is neither even nor odd.

4)  The graph is symmetric with respect to the y-axis. So, the function is even.

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