We will see that as x tends to ± ∞, the function tends to -∞.
- for x ⇒ ∞, f(x) ⇒ -∞
- for x ⇒ -∞, f(x) ⇒ -∞.
What is the end behavior?
We define the end behavior as how the function behaves as x tends to very large, in absolute value, values.
In this case we have a quadratic equation:
f(x) = -0.5*x^2 - 3*x - 4
Here you can see that the leading coefficient is negative, thus, the arms of the graph will go downwards.
This means that in the limits of x ⇒ ∞ and x ⇒ -∞, the function will tend to negative infinity.
Then the end behavior can be written as:
- for x ⇒ ∞, f(x) ⇒ -∞
- for x ⇒ -∞, f(x) ⇒ -∞.
If you want to learn more about end behavior, you can read:
https://brainly.com/question/11275875
