Answers to 151 WIR 2.5-2.7

2. f is not continuous at x=2 since f(2)=4 but

3. c=5/3

4. f(2)=-8<1, f(3)=3>1, f(x) is a polynomial so is continuous. By the Intermediate Value Thm., there is at least one c between 2 and 3 so that f( c )=1.

5. The limit is ¼.

6. The limit is 0.

7. The limit is -3/2.

8. y=1/2 and y= -1/2

9. The slope is 1/3. The line is y = x+2.

10. The slope is -1 and the line is y = -x + 4.

11. The average velocity is 2i + 5j. The instantaneous velocity is 2i + 7j.