Algebra 1 Unit 2 Review

Domain of Graphs

100

1. The line segment has endpoints at (–4,0) and (4,–10). What is the domain for the following graph? A.2A

D: -6<x<4

200

2. The graph of a function is shown below.  What is the domain?

-3<x<3

300

3.  The graph below shows a line segment on a coordinate plane.

What is the domain of the line segment?

-6<x<3

400

4.  What is the domain of the following quadratic function? (A.6A)

All Real Numbers

500

5.  What is the domain of the following quadratic function?

x > -2

Range of Graphs

100

1. The line segment has endpoints at (–4,0) and (4,–10). What is the range for the following graph?

-10<y<0

200

2. The graph of a function is shown below.  What is the range?

-9<y<9

300

3.  The graph below shows a line segment on a coordinate plane.

What is the range of the line segment?

-8<y<9

400

4.  What is the range of the following quadratic function? 

y<3

500

5.  What is the range of the following quadratic function? 

y > -1

Function or not

100

6.  Which table represents y as a function of x?

B

200

7. Which set of points would NOT define a function? 

A {(–2, –2), (–1, –1), (0, 0), (1, 1), (2, 2)}

B{(–2, 9), (0, 1), (1, 0), (3, 4), (4, 9)}

C{(–1, 0), (0, 1), (0, –1), (3, 2), (3, –2)}

D{(–6, 2), (–5, 1), (–4, 0), (–3, 1), (–2, 2)}

C

300

9. Which graphs below represents a non-functional relationship? 

A 

B  

Neither

400

9.  Which graph below represents a non-functional relationship? 

A 

B  

B

500

10.  Which of the following relations can be determined to be a function? (A.12A)

A{(3, 4), (5, 7), (−2, 7), (3, 8)}

B{(3, 6), (2, 8), (−3, −7), (2, −8)}

C{(3, 6), (2, 7), (−3, 6), (−2, −8)}

D{(3, 4), (5, 7), (−2, 6), (3, 7)}

C

Function Notation

100

8.  What is the domain of the function y = 2x - 4 when the range is {-2, 2, 4, 6}?

{1, 3, 4, 5}

200

11.  Evaluate the function, f(x) = 4x + 5, for f (3/4).  

8

300

12.  Evaluate the function, g(x) = 3(2x – 6), for g (-4).

-42

400

16. The distance in meters of a basket suspended on a spring to a tabletop below is dependent on the number of steel bearings in the basket. The function representing this relationship is d(m) = 7 – 2m, where d(m) represents the distance in meters, and m represents the number of steel bearings in the basket. Which set represents the evaluation of the function d(m) = 7 – 2m when m = {0, 1, 2, 3}? (A.12B)

A.  {1, 3, 5, 7}

B.  {4, 5, 6, 7}

C.  {2, , 3, }

D.  Not here

A

500

Bonus: In the equation f(x) = 1/2x +3, what is the output if the input is {-2, 0, 2, 4}

{2, 3, 4, 5}

Miscellaneous

100

13.    What equation represents 6x + 3y = 9 when solved for y?

y = -2x + 3

200

14.  What equation represents 4x + 3y = 18 when solved for y?

y = -4/3 x + 6

300

A local clothing store is going out of business and selling their inventory to another store.  These polynomials represent the inventory in each store:

What expression represents the combined inventory of the two stores? (A.10A)

400

Bonus: Solve for y.

5x + 3y = 27

y = -5/3x + 9

500

Bonus: Solve for y.

2x - 3y = 7

y = 2/3x - 7/3