PLEASE HELP ASAP! GOOD/REAL ANSWERS WILL GET BRAINLIEST AND 50 POINTS! WRONG/FAKE ANSWERS WILL BE REPORTED! 3. Find the derivative of f(x) = 2 divided by x at x = -2. (6 points)
A. 1
B. 1 divided by 2
C. negative 1 divided by 2
D. -1
4. Find the derivative of f(x) = negative 9 divided by x at x = -8. (6 points)
A. 8 divided by 9
B. 9 divided by 8
C. 64 divided by 9
D. 9 divided by 64
5. Find the limit of the function by using direct substitution. (6 points)
limit as x approaches zero of quantity x squared plus five.
A. Does not exist
B. -5
C. 0
D. 5
6. Find the limit of the function by using direct substitution. (6 points)
limit as x approaches four of quantity x squared plus three x minus one
A. Does not exist
B. -27
C. 0
D. 27
7. Find the limit of the function algebraically. (6 points)
limit as x approaches negative two of quantity x squared minus one four divided by quantity x plus two.
A. -4
B. -2
C. Does not exist
D. 1
8. Find the limit of the function algebraically. (6 points)
limit as x approaches zero of quantity x squared minus two x divided by x to the fourth power.
A. Does not exist
B. 8
C. 0
D. -8
9. 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 six that ends at the open point 2, 6, a closed point at 2, 1, and another horizontal line starting at the open point 2, negative 2.
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. . (7 points)
A. 2; 6
B. 1; 1
C. Does not exist; does not exist
D. 6; -2
10. Use the given graph to determine the limit, if it exists.
A coordinate graph is shown with a downward sloped line crossing the y axis at the origin that ends at the open point 3, negative 1, a closed point at 3, 7, and a horizontal line starting at the open point 3, negative 4.
Find limit as x approaches three from the right of f of x. . (7 points)
A.-1
B. 7
C. -4
D. Does not exist
11. Find the indicated limit, if it exists. (7 points)
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
A. The limit does not exist.
B. -1
C. -4
D. 7
12. Find the indicated limit, if it exists. (7 points)
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
A. The limit does not exist.
B. 7
C. -10
D. -17
13. Use graphs and tables to find the limit and identify any vertical asymptotes of limit of 1 divided by the quantity x minus 2 as x approaches 2 from the left . (7 points)
A. ∞; x = -2
B. -∞; x = -2
C. 1 ; no vertical asymptotes
D. -∞; x = 2
14. The position of an object at time t is given by s(t) = -4 - 2t. Find the instantaneous velocity at t = 6 by finding the derivative. (9 points)
15. Use graphs and tables to find the limit and identify any vertical asymptotes of the function. (8 points)
limit of 1 divided by the quantity x minus 2 squared as x approaches 2