Lecture 25: Curve sketching and asymptotes

Assignment

Section 4.3, problems 1-6, 25-31, 33-34, 67

Section 4.4, problems 6n+1, n=0,...,6; 41, 45, 57-59

Brief review of the lecture

We defined and discussed vertical and horizontal asymptotes. Then we analyzed the function f(x)=x^2/(4-x^2) for vertical and horizontal asymptotes. We also went through the nine step sketching process on page 315 for the function f(x)=2x^3+3x^2-12x-4. You must go through this process a few times on your own to be sure you have it down.

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