Question 5(multiple choice worth 7 points)
use graphs and tables to find the limit and identify any vertical asymptotes of limit of 1 divided by the quantity x minus 3 as x approaches 3 from the left.

∞ ; x = -3
-∞ ; x = -3
-∞ ; x = 3
1 ; no vertical asymptotes
question 6(multiple choice worth 7 points)
find the indicated limit, if it exists.

limit of f of x as x approaches 0 where f of x equals 7 minus x squared when x is less than 0, 7 when x equals 0, and negative 10 x plus 7 when x is greater than 0

the limit does not exist.
7
-10
-17
question 7(multiple choice worth 7 points)
use the given graph to determine the limit, if it exists.

a coordinate graph is shown with a horizontal line crossing the y axis at four that ends at the open point 2, 4, a closed point at 2, 1, and another horizontal line starting at the open point 2, negative 3.

find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x..

-3; 4
1; 1
4; -3
does not exist; does not exist
question 8(multiple choice worth 6 points)
find the limit of the function algebraically.

limit as x approaches negative three of quantity x squared minus nine divided by quantity x cubed plus three.

-6
-3
does not exist
0
question 9(multiple choice worth 6 points)
find the limit of the function algebraically.

limit as x approaches four of quantity x squared minus sixteen divided by quantity x minus four.

does not exist
4
1
8
question 10(multiple choice worth 6 points)
find the derivative of f(x) = -10x2 + 4x at x = 11.

-216
-196
-176
-363
question 11(multiple choice worth 7 points)
find the indicated limit, if it exists.

limit of f of x as x approaches negative 4 where f of x equals x plus 3 when x is less than negative 4 and f of x equals 3 minus x when x is greater than or equal to negative 4

the limit does not exist.
-1
-4
7
question 12(multiple choice worth 7 points)
use the given graph to determine the limit, if it exists.

a coordinate graph is shown with an upward sloped line crossing the y axis at the origin that ends at the open point 3, 1.5, a closed point at 3, 7, and a horizontal line starting at the open point 3, 2.

find limit as x approaches three from the left of f of x..

7
1.5
does not exist
2
question 13(multiple choice worth 6 points)
find the derivative of f(x) = 8x + 4 at x = 9.

0
4
8
9
question 14 (essay worth 9 points)
the position of an object at time t is given by s(t) = -9 - 3t. find the instantaneous velocity at t = 8 by finding the derivative.

question 15 (essay worth 8 points)
use graphs and tables to find the limit and identify any vertical asymptotes of the function.

limit of 1 divided by the quantity x minus 10 squared as x approaches 10