1. Ms. Battaglia AB Calculus

2. The inverse function of the natural logarithmic function f(x)=lnx is called the natural exponential function and is denoted by f -1 (x) = e x That is, y = e x if and only if x = lny Inverse Relationship ln(e x ) = x and e lnx = x

3. Solve 9 – 2e x = 7

4. Solve ln(x – 3) = 2

5. Let a and b be any real numbers. 1. 2.

6. 1. The domain of f(x)=e x is (-∞, ∞), and the range is (0, ∞) 1. The function f(x)=e x is continuous, and one-to-one on its entire domain. 2. The graph of f(x)=e x is concave upward on its entire domain. 3. and

7. Let u be a differentiable function of x. 1. 2.

8. a.b.

9. Find the relative extrema and the points of inflection (if any exist) of the function. Use a calculator to confirm your results.

10. Let u be a differentiable function of x. 1.2.

11. Find

13. a.b.

14. a. b. c.

15.  AB: Page 360 #99-125 odd (skip 113, 115)