Question

For the function graphed above the end behavior is:

Answer 1

Answer:

as w → -∞, q(w)→-∞

as w → ∞, q(w)→∞

Step-by-step 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.