Even and Odd Functions

Which one of the following functions is even?

• f(x) = x⁴ + x³
• g(x) = x⁴ + x²
• h(x) = x⁵ + x³
• k(x) = x³ + x

Tags

CCSS.HSF.BF.B.3

Which one of the following functions is odd?

• f(x) = 3x⁴ - 4x³
• g(x) = 5x⁴ + 3x²
• h(x) = 6x⁵ - x³
• k(x) = x⁶ + 8x²

Tags

CCSS.HSF.BF.B.3

The function shown in the graph is:

• even
• odd
• neither even nor odd
• both even and odd

Tags

CCSS.HSF.BF.B.3

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

• 3

• 2 

• -4

• 1 

• 4

• 2

• 3

• 6

• Even

• Odd

• Neither