Question

Which statement is true about the end behavior of the graphed function?

Answer 1

as x approaches negative infinity, the graph approaches negative infinity
as x approaches positive infinity, the graph approaches positive infinity

Answer 2

This is a cubic function, highest power is 3.

This is also an odd function.

Odd functions have end behavior properties as follows:

• As x approaches -∞, y goes towards -∞
• As x approaches ∞, y goes towards ∞

Also by looking at the graph, you can see that these 2 properties hold.

ANSWER:

This graph's end behavior is:

• As x approaches -∞, y goes towards -∞
• As x approaches ∞, y goes towards ∞