PRACTICE EXAM I

IUN CALCULUS I M215 Spring 2005

Student's name: ______________________

Instructor: Vesna Kilibarda

Please show all your work. Due on 02/09/2005 with the homework.

1. Solve the equation for x.

| x - 5| = 3 - 2x

2. Given the functions : f(x) = and g(x) = x-3

Find and simplify:

h(x) = (f + g) (x)

j(x) = f (g (x))

3. Find the following limit by hand. You can use graphing to help you get a sense for what the limit is.

4. Find the following limit by hand. You can use graphing to help you get a sense for what the limit is.

5. Find the natural domain of the function

6. Imagine a function f which is defined on interval [0,3)U(3,¥), has a right hand limit at 1 equal to 0, has a left hand limit at 1 equal to 3, is not defined at 3, has a left hand limit at 3 equal to 2, and has no right hand real limit at 3. Sketch the graph of your function.

7. Find the following limit by hand. You can use graphing to help you get a sense for what the limit is.

8. Find the following limit by hand. You can use graphing to help you get a sense for what the limit is.

9. Express in interval notation and graph on a real number line.

{x : }

10. Find the area of the triangle formed by the coordinate axes and the line through (1,4) and (2,1).

11. Find the points of discontinuity, if any for the function

.