168k views
1 vote
For the function graphed above the end behavior is:

For the function graphed above the end behavior is:-example-1
User Lei Mou
by
4.9k points

1 Answer

2 votes

Answer:

as w → -∞, q(w)→-∞

as w → ∞, q(w)→∞

Explanation:

The behaviour tells us how changes y as x changes.

In the left side (as w decreases) we can see that y goes down, then we can see that as w goes to negative infinity, q(w) also goes to negative infinity.

Then we can write:

as w → -∞, q(w)→-∞

In the right side (so when w increases) we can see that q(w) increases, then with the same reasoning as above we have:

as w → ∞, q(w)→∞

Notice that in both cases we only care for the end behavior, and these changes in curvature do not really matter for this kind of analysis.

User Vitox
by
4.1k points