1. Warm Up Find the derivative of the function: f(x) = -3x 2 + 4 Using the Fundamental Theorem of Calculus and… Using the Rules of Derivatives Then find the slope at the point (4, -44)

2. Warm Up #2 Find the horizontal asymptote of:

3. 11.4 Limits at Infinity

4. Facts About Limits at Infinity If r is a positive real number, then Furthermore, if x r is defined for x < 0, then Example: Evaluate Does this familiar to you?

5. Graphical Solution Note that the horizontal asymptote is y = 3

6. Limits at Infinity and Limits of Sequences Graph We know that the horizontal asymptote is the line y = 2. Therefore,

7. What happens if the exponents are NOT the same?