1. 4.6 Curve Sketching Fri Oct 23 Do Now Find intervals of increase/decrease, local max and mins, intervals of concavity, and inflection points of

2. HW Review

3. Curve Sketching Before we can start curve sketching, it is beneficial to find several values: Domain –Always find the domain of f(x) first, so you know where we need to be sketching and where we don’t Vertical Asymptotes –For any point not in the domain of f(x), check the limit approaching that point to see if there is a vertical asymptote

4. First Derivative Info –Determine where f(x) is increasing and decreasing –Find any local extrema (x,y coordinates) Vertical Tangent Lines –At any undefined point in f’(x) and in the domain of f(x), check the limit approaching that value to see if there is a vertical tangent

5. Second Derivative Info –Determine where the graph is concave up and concave down –Locate any inflection points (x,y) coordinates Horizontal Asymptotes –Check the limit of f(x) as x approaches +/- infinity

6. Ex 1 Sketch

7. Ex 2 Draw a graph of showing all significant features

8. You try Draw a graph of showing all significant features

9. Closure Find all the important values of the following function, and then graph it HW: p.254 #9 15 23 29 43 52 57 63 4.1-4.6 Test Thurs Oct 29

10. 4-6 Sketching More Functions Tues Oct 27 Do Now Find all important values and sketch the function

11. HW Review p.254 # book

12. Closure Journal Entry: How do the 1st and 2nd derivative help us when sketching a function? HW: 4.1-4.6 Test Thurs