PLEASE HELP ASAP, GOOD ANSWERS GET BRAINLIEST +50 POINTS!! WRONG ANSWERS GET REPORTED.
9.06

1. Find the derivative of f(x) = -4x2 + 11x at x = 10.

A) -19.5
B) -69
C) 30
D) -300

2. Find the derivative of f(x) = 8x + 4 at x = 9.

A) 0
B) 4
C) 8
D) 9

3. Find the derivative of f(x) = 4 divided by x at x = 2.

A) -4
B) -1
C) 1
D) 4

4. Find the derivative of f(x) = negative 9 divided by x at x = -4.

A) 4 divided by 9
B) 16 divided by 9
C) 9 divided by 16
D) 9 divided by 4

5. Find the limit of the function by using direct substitution.
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.
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.
limit as x approaches four of quantity x squared minus sixteen divided by quantity x minus four.

A) Does not exist
B) 4
C) 1
D) 8

8. Find the limit of the function algebraically.
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 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.

A) -3; 4
B) 1; 1
C) 4; -3
D) Does not exist; does not exist

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. .

A) -1
B) 7
C) -4
D) Does not exist

11. 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

A) -1
B) 2
C) The limit does not exist.
D) 0

12. 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

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 3 as x approaches 3 from the left.

A) ∞; x = -3
B) -∞; x = -3
C) -∞; x = 3
D) 1 ; no vertical asymptotes

14. 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.



15. 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 1 squared as x approaches 1