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HONORS ALGEBRA 2 - HW QUIZ 9.5-9.6

Total questions: 18

Worksheet time: 15mins

Name
Class
Date
1.

What type(s) of asymptotes does this function have? (Check all that apply.)


 f(x)=1x7f\left(x\right)=\frac{1}{x-7}  

a)

Vertical

b)

Horizontal

c)

Slant

2.

What type(s) of asymptotes does this function have? (Check all that apply.)

a)

Vertical

b)

Horizontal

c)

Slant

3.

What type(s) of asymptotes does this function have? (Check all that apply.)

a)

Vertical

b)

Horizontal

c)

Slant

4.

What type(s) of asymptotes does this function have? (Check all that apply.)

a)

Vertical

b)

Horizontal

c)

Slant

5.

Identify the Vertical Asymptote(s) for this function. (Check all that apply.)

a)

x = 2

b)

x = -2

c)

x = 1

d)

x = 0

6.

Identify the Horizontal Asymtote for this function.

a)

y = 2

b)

y = 1

c)

y = -1

d)

y = 0

7.

Identify the Slant Asymptote for this function.

a)

y = 5x - 7

b)

y = 5x + 13

c)

y = 5x + 3

d)

y = 5x + 7

8.

Identify the x-intercept(s) for this function. (Check all that apply.)

a)

-1

b)

3

c)

4

d)

-1/4

9.

Identify the y-intercept for this function.

a)

-3

b)

-2

c)

2

d)

-3/4

10.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

11.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

12.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

13.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

14.

The distance it takes to stop a car varies directly as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of 65 miles per hour?

a)

308.05 ft

b)

295.75 ft

c)

296.09 ft

d)

253.5 ft

15.

The volume of wood in a tree varies jointly as the height of the tree and the square of the distance around the tree trunk. If the volume of wood is 15.84 cubic feet when the height is 22 feet and the distance around the trunk is 3 feet, what is the volume of wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk?

a)

44.96 ft3

b)

49.96 ft3

c)

40.96 ft3

d)

32.96 ft3

16.

If f varies jointly as q2 and h, and f = 96 when q = 4 and h = 3, find q when f = 48 and h = 6.

a)

±4

b)

±2

c)

±6

d)

±3

17.

If x varies inversely as v, and x = 35 when v = 3, find x when v = 15.

a)

7

b)

9

c)

5

d)

21

18.

The time required to process a shipment of goods at Wal-Mart varies directly with the number of items in the

shipment and inversely with the number of workers assigned. If 15,000 items can be processed by 8 workers in 10 hours, then how long would it take 12 workers to process 20,000 items?

a)

6.5 hours

b)

7.75 hours

c)

8.9 hours

d)

10.2 hours