Honors Pre-Calculus - 09.06 Module Nine Test

Find the derivative of f(x) = at x = -2

-1/2

Find the limit of the function algebraically. (6 points) limit as x approaches negative ten of quantity x squared minus one hundred divided by quantity x plus ten.

-20

Find the derivative of f(x) = -10x2 + 4x at x = 11. (6 points)

-216

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 .

-∞; x = 2

Find the limit of the function by using direct substitution.(6 points) limit as x approaches one of quantity x squared plus three x minus one.

3

Find the limit of the function by using direct substitution. limit as x approaches zero of quantity x squared plus five.

5

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. .

6; -2

Find the derivative of f(x) = 7x + 9 at x = 6

7

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

7

Find the derivative of f(x) = negative 9 divided by x at x = -8.

9/64

Find the indicated limit, if it exists. (7 points) limit of f of x as x approaches negative 5 where f of x equals x plus 4 when x is less than negative 5 and f of x equals 4 minus x when x is greater than or equal to negative 5

Does Not Exist, DNE

Find the limit of the function algebraically. (6 points) limit as x approaches zero of quantity x cubed plus one divided by x to the fifth power.

Does not exist, DNE

Use the given graph to determine the limit, if it exists. alt='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. .

1.5