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UNIT 2 REVIEW

Total questions: 34

Worksheet time: 2hrs 47mins

Name
Class
Date
1.

Given the Function f(x)=12x2−3x+4f\left(x\right)=\frac{1}{2}x^2-3x+4  , what is f(-8)?

Just type in the number for your solution.

2.

Given q(x)=−3(x−7)2+8 q\left(x\right)=-3\left(x-7\right)^2+8\  , what is the value of q(5)?

3.

Given the function f(x)=x2−x−4f\left(x\right)=x^2-x-4  , which of the following is a value in the range when the domain is { -5, -1, 0 , 8 }

a)

-26

b)

-52

c)

-2

d)

4

4.

What are the domain and range of the function f(x)= −4x −5f\left(x\right)=\ -4x\ -5  

Select all that apply:

a)

Domain: All Real Numbers

b)

Domain {-4}

c)

Domain: All real numbers less than or equal to -4

d)

Range: All Real Numbers

e)

Range {-5}

5.

What is the range of the graph shown below?

a)

All Real Numbers

b)

f(x)≥ −8f\left(x\right)\ge\ -8  

c)

f(x)≤ −8f\left(x\right)\le\ -8  

d)

−4 ≤x ≤4-4\ \le x\ \le4  

6.

The cost of riding in a taxi, y, for x miles can be modeled using a linear function. The taxi driver charges a fixed cost of $5 plus an additional cost of $2 per mile. The driver will only drive a maximum of 60 miles per trip.

For one trip, what is the range of the function for this situation?

a)

0 ≤ x ≤100\ \le\ x\ \le10  

b)

5 ≤y ≤1255\ \le y\ \le125  

c)

0≤x≤600\le x\le60  

d)

2≤y≤3022\le y\le302  

7.

Which of the following relations defines a function?

a)

Each student’s age, x, and the student’s number of siblings, y.

b)

The number of days in the month, x, and the number of days it rains during the month, y.

c)

The time spent traveling, x, and the distance traveled, y if you drive at a constant rate of  60 mph. 

d)

The temperature outside, x, and the number of ice cream cones sold, y.

8.

Indicate whether each relation represents y as a function of x.

Match the following

a)
1.

Not a Function

b)

{ (2, 3) , ( -2, 3 ), ( -2, 3) , (3 , 2)}

2.

Function

c)

f(x)=12x2+x−5f\left(x\right)=\frac{1}{2}x^2+x-5  

3.

Function

d)

{(−2, 1) , ( −1, 2) , ( 1, −2)  ,(2, −1)}\left\{\left(-2,\ 1\right)\ ,\ \left(\ -1,\ 2\right)\ ,\ \left(\ 1,\ -2\right)\ \ ,\left(2,\ -1\right)\right\}  

4.

Function

9.

What are the domain and range of the function k(x) graphed below? 

Select TWO correct answers.

a)

DOMAIN: ALL REAL NUMBERS

b)

DOMAIN: −6≤x≤2-6\le x\le2  

c)

Range:

k(x) ≤5k\left(x\right)\ \le5  

d)

Range:

y≤−2y\le-2  

e)

Range:

−3≤k(x)≤5-3\le k\left(x\right)\le5  

10.

Which of the following represents the domain for the graph below?

a)

All real numbers greater than or equal to -4

b)

All real numbers less than or equal to 6

c)

All real numbers less than or equal to -4

d)

All real numbers greater than or equal to 6

11.

What is the domain of the graph shown?

a)

1<x≤81<x\le8  

b)

1≤x<81\le x<8  

c)

1<x≤71<x\le7  

d)

1≤x<71\le x<7  

12.

Jamarie plans to rent a car for a road trip to Florida. His rental will include a security deposit of $150 and a daily fee of $20. The total cost of his rental, f(x), can be found using the function f(x)=20x+150, where x represents the number of days. If Jamarie plans to rent the car for a maximum of 6 days, what is the range of the function?

a)

{150, 170, 190, 210, 230, 250, 270}

b)

150≤f(x)≤270150\le f\left(x\right)\le270  

c)

 {0, 1, 2, 3, 4, 5, 6}

d)

0≤f(x)≤60\le f\left(x\right)\le6  

13.

Lee flew home after a business trip. The graph below represents the last 10 minutes of the plane’s descent into the Houston airport. What is the range of this function?

a)

ALL REAL NUMBERS

b)

All real numbers greater than or equal to 0 and less than or equal to 10

c)

All real numbers greater than or equal to 0 and less than or equal to 12,000

d)
14.

According to the graph, what is the value for the range when the domain is -4? 

15.

What is the positive solution when r(x) = 0

16.

A table of values for function g(x) is given.

What is the solution to ,

g(x)=12g\left(x\right)=12  ?

(a)  

17.

Does y represent a function of x? ALSO WHAT IS THE SOLUTION WHEN, g(x) = -4

there are two arrows coming from -2

a)

Yes, -2

b)

Yes, 4

c)

No, -2

d)

No, 4

18.

Does y represent a function of x? Also identify the domain.

a)

yes { -7, -3, 1, 3, 6}

b)

yes { -5, -3, -2, 0 , 1}

c)

no { -7, -3, 1, 3, 6}

d)

no { -5, -3, -2, 0 , 1}

19.

Coach Ortiz and his wife love going to eat to this place, I usually get a pizza and his wife usually gets chicken parmesan which alfredo sauce instead of marinara , what is it called? Hint: click on the picture. May 15 👀👀👀

a)

ADRIATIC CAFE

b)

Blue Iguana

c)

Rancho Grande

d)

MOD

20.

This is Coach Ortiz favorite drink at Starbucks called a brown sugar shaken espresso with salted cold foam added on top , (if its fall season, I get pumpkin cold foam). Where does Coach Ortiz go to get it?

a)

Starbucks

b)

Hebrews

c)

Barbarossa

d)

Re:Bar Cafe & Juicestillery

e)

DeNovo

21.

The function f(x)=6.99+0.99x represents the price for a hamburger. If x toppings are added to the hamburger, determine the possible values for the range if you have enough money to order up to 4 toppings.

a)

{0 , 1, 2, 3 }

b)

{ 1 , 2 , 3 , 4}

c)

{ 7.98 , 8.97 , 9.96 , 10.95}

d)
e)
22.

Solve the literal equation for the given variable.

Hint: solve for B, and there are dots in between each thing. You will also have to multiply by the reciprocal

a)

2Ah\frac{2A}{h}

b)

2h\frac{2}{h}

c)

2Ah

d)

Ah2\frac{Ah}{2}

23.

Select all that applies for the following function:

a)

Domain: All real Numbers

b)

Range: All Real Numbers

c)

Domain: −5≤x≤5-5\le x\le5

d)

Range: h(x)≥0Range:\ h\left(x\right)\ge0

24.
What is the Range?
a)

-3 ≤ y < 2

b)
-3 < y ≤ 2
c)

-7 ≤ f(x) ≤ 2

d)

−7≤x≤2-7\le x\le2   

25.

What is Coach Ortiz favorite laundry detergent?

Hint: Click on the picture

Also Coach Ortiz and his wife bought two diva candles as well because they smell so good

a)

Diva Glamorous Wash

b)

Tide

c)

HUHHH

d)

Tide Sport

26.

What kind of summer fragrance does Coach Ortiz really like?

Hint: Click on the Picture

a)

PHANTOM

b)

Aventus Creed

c)

Diva

d)

Dolce & Cabanna

e)

Silver Mountain Water

27.

This is Coach Ortiz favorite drink at Starbucks called a brown sugar shaken espresso with salted cold foam added on top , (if its fall season, I get pumpkin cold foam). Where does Coach Ortiz go to get it?

a)

Starbucks

b)

Hebrews

c)

Barbarossa

d)

Honor Society

e)

DeNovo

28.

Solve: C=2πr, for rSolve:\ C=2\pi r,\ for\ r  



a)

r=C2πr=\frac{C}{2\pi}  

b)

r=C+2πr=C+2\pi  

c)

r=C−2πr=C-2\pi  

d)

r=2πCr=2\pi C  

29.

Which inequalities best describe the domain and range of the part shown?

a)

Domain : −4<x<5-4<x<5  

Range : −7<g(x)<6-7<g\left(x\right)<6  

b)

Domain : −7<x<6-7<x<6  

Range : −4<g(x)<5-4<g\left(x\right)<5  

c)

Domain : −4≤x≤5-4\le x\le5  

Range : −7≤g(x)≤6-7\le g\left(x\right)\le6  

d)

Domain : −7≤x≤6-7\le x\le6  

Range : −4≤g(x)≤5-4\le g\left(x\right)\le5  

30.

Which of the following are solutions that make the inequality

14−6x<2014-6x<20  

true? 

Select THREE correct answers. 

a)

2

b)

-2

c)

-0.5

d)

-1.50

e)

0−34\frac{0}{-34}  

31.

The perimeter of a rectangle is 50 centimeters. The length of the rectangle can be represented by (5x), and its width can be represented by (x-2). What is the value of x and the length of the rectangle in centimeters?

hint: Draw a picture and label it.

a)

The value of x: 4.5

Length of the rectangle: 22.5 cm

b)

The value of x: 3.66

Length of the rectangle: 18.33 cm

c)

The value of x: 5

Length of the rectangle: 25 cm

d)

The value of x: 3.83

Length of the rectangle: 19.17

e)

The value of x: 4.50

Length of the rectangle: 2.50

32.

The solution to the equation is :

5(2x + 6) = −4(−5 −2x)+ 3x5\left(2x\ +\ 6\right)\ =\ -4\left(-5\ -2x\right)+\ 3x  

a)

x =−20x\ =-20  

b)

x = 20x\ =\ 20  

c)

x =−10x\ =-10  

d)

x = 10x\ =\ 10  

e)

infinite solutions

33.

The solution to the equation is:

11x+10+ x=2(6x+8)11x+10+\ x=2\left(6x+8\right)  

a)

infinite solutions

b)

no solution

c)

6

d)

1.6

e)

-6

34.

-5(2x - 4) = 2(10 - 5x)

a)

No Solution

b)

One Solution

c)

Infinite Solution