Show All Work to Receive Full Credit

MTH 101, Exam 2 Name:______Porter, SMU Date: October 27, 2009

SHOW ALL WORK TO RECEIVE FULL CREDIT !!! POINT VALUES ARE INDICATED IN BRACKETS, [ ], PRIOR TO EACH PROBLEM. The points on the exam total 104, where 4 points are bonus points.

[6] 1. Complete the following table.

Set Builder notation Graph Interval Notation

{ x- 2� x 4}

{ x x > 5 }

( -ゥ,3] U ( 4, )

[6] 2. Simplify each of the following. Do not leave any exponents as negatives.

2 5 [3] (a) [3] (b) (2x5 y - 3) 4 3 6

[2] 3. Factor -2x - 4 xy completely.

[4] 4. About 170,000 patents were issues by the US government in 2003. This was a 70% increase over the number of patents issued in 1993. How many patents were issued in 1993? (Since you do not have a calculator, set up the equation to receive full credit. That is write the information to the point where you would plug it into the calculator to solve. No extra credit will be awarded if you solve it completely, but if you do solve it completely it will be graded completely.) [16] 5. Graph the following equations. Make sure to label the axis. If you need to make a chart to plot the points, do So to the right of each graph, or put them on scratch paper and label them with the function or problem number and part.

(a) y= 3 x (b) y= x + 2

(c) 6x- 3 y = - 12 (d) f( x )= 3 - x 2

[14] 6. Solve each of the following. Any form of the solution will receive full credit, just make sure to explicitly write the solution and indicate what your final answer is.

[3] (a) 3x- 15 = 15 + 3 x [4] (b) -3( x + 8) - 5 x > 4 x - 9

[3] (c) 2y - 1 = 5 [4] (d) 3x + 2 4 [14] 7. Solve each of the following. Any form of the solution will receive full credit, just make sure to explicitly write the solution and indicate what your final answer is.

[4] (e) -3 < 5 - 2x 7 [4] (f) 4x- 7 < 1 and 7 - 3 x > - 8

[3] (g) x-7� 13 or x � 1 6 [3] (g) x-3 = 2 x + 1

[7] 8. Given f( x )= 3 x2 - 2 x , find the following.

[2] (a) f (2)

[2] (b) f (- 1)

[3] (c) f(2 a ) in simplest form

[4] 9. Given f( x )= 3 x - 4 and g ( x ) = x2 + 1, find f( g ( - 2)) . [6] 10. Indicate if the following represents a function or is not a function with respect to x.

(a) (b) (c)

[4] 11. Find the domain and range of the following. Write the answers in interval notation on the lines provided.

Domain:______

Range:______

[6] 12. Determine the domain of the following functions.

8 [4] (a) f( x ) = [4] (b) g( x )= x - 4 4x - 2 [9] 13. Determine the slope and y-intercept for each of the following.

(a) y=6 x + 2 (b) 2x+ 3 y = 6 (c)

[6] 14. SET UP THE EQUATION NEEDED TO SOLVE THE FOLLOI+WING> DO NOT ATTEMPT TO SOLVE THE PROBLEM. The Arnold Inn offers two plans for wedding parties. Under Plan A, the inn charges $30 for each person in attendance. Under Plan B, the inn charges $1300 plus $20 for each person in excess of the first 25 who attend. For what size party will Plan B cost less? Assume there will be more than 25 guests.

When you are done, turn in your paper and quietly leave. I’ll see you again on Thursday. PLEASE READ the next section before class on Thursday.