Question 1(multiple choice worth 6 points)
find the derivative of f(x) = -10x2 + 4x at x = 11.
-216
-196
-176
-363

question 2(multiple choice worth 6 points)
find the limit of the function by using direct substitution.
limit as x approaches four of quantity x squared plus three x minus one
does not exist
-27
0
27

question 3(multiple choice worth 6 points)
find the derivative of f(x) = 7x + 9 at x = 6.
7
9
6
0

question 4(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 10 x plus 7 when x is greater than 0
3
10
7
the limit does not exist.

question 5(multiple choice worth 6 points)
find the derivative of f(x) = 3 divided by x at x = 1.
-3
-1
1
3

question 6(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 7(multiple choice worth 7 points)
find the indicated limit, if it exists.
limit of f of x as x approaches negative 1 where f of x equals x plus 1 when x is less than negative 1 and f of x equals 1 minus x when x is greater than or equal to negative 1
-1
2
the limit does not exist.
0

question 8(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 7 as x approaches 7 from the left.
-∞ ; x = 7
∞ ; x = -7
-∞ ; x = -7
1 ; no vertical asymptotes

question 9(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 10(multiple choice worth 6 points)
find the limit of the function algebraically.
limit as x approaches zero of quantity x cubed plus one divided by x to the fifth power.
0
-9
does not exist
9

question 11(multiple choice worth 6 points)
find the derivative of f(x) = negative 3 divided by x at x = -4.
3 divided by 4
3 divided by 16
16 divided by 3
4 divided by 3

question 12(multiple choice worth 6 points)
find the limit of the function by using direct substitution.
limit as x approaches zero of quantity x squared minus two.
2
-2
does not exist
0

question 13(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 14 (essay worth 9 points)
the position of an object at time t is given by s(t) = -1 - 13t. 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 2 squared as x approaches 2