Math 125 Test 1 8 pts each Jan 25, 2006

Circle answers where appropriate.

Use the function in the graph below for problems 1 & 2:

1. At which value(s) of x does the limit not exist ?

2. Find .

Use the Rules for Limits to evaluate:

If and ,

3.

4.

5.

Evaluate the limits.

6.

7.

8.

Find the Vertical Asymptote(s) for:

9.

10.

11. Find the equation of the line tangent to at (4,5).

12. If the position of a rabbit is given by the function

x(t) = 2t² - 4t +5, find:

a. her speed and when t = 4 s.

b. What is her acceleration at this same instant?

5 Points Bonus:

Does this function have a vertical asymptote? If so, find it, if not, explain why not.

5 Points Bonus:

Draw the x vs t and a vs t (assume the object starts at the origin ) graphs for the given v vs t graph.