Topic 4 Building Functions (Borges Alg 2)

by Roseanne Borges

| 20 QuestionsThis is an assessment of the work we have done so far in class. Please make sure you SHOW ALL WORK on looseleaf. You must submit your work to be graded. If your work does not support your electronic answer, the question will be marked incorrect. Take your time, and good luck!

1

1 pt

When

is subtracted from

the difference is:

A

B

C

D

2

1 pt

The sum of

and

is

A

B

C

D

3

1 pt

What is the product of

and

A

B

C

D

4

1 pt

The expression

is equivalent to:

A

B

C

D

5

1 pt

Which expression is equivalent to

A

B

C

D

6

1 pt

The expression

can NOT be written as:

A

B

C

D

7

2 pts

Which of the following expressions represents a polynomial expression with a leading coefficient of 5? Select ALL that apply.

A

B

C

D

E

8

2 pts

Which of the following functions represent the volume of the right rectangular prism with dimensions given in the diagram? Select ALL that apply.

A

B

C

D

9

2 pts

Which of the following statements are true about the function graphed here? Select ALL that apply.

A The function has an absolute minimum at x = 15

B The domain of the function shown in the graph is all real numbers

C The function is increasing for all x-values such that 15 < x < 22

D The function is decreasing for all x-values such that x > 15

E The domain of the function shown is all values of x such that

10

1 pt

Given the cubic function:

What does the graph indicate about the values of the function for values of x between 0 and 3?

A The values increase throughout the interval

B The values decrease at a constant rate from x = 0 to x is approximately 1, then increase at a constant
rate for values of x such that 1 < x < 3.

C The function has a relative minimum at approximately x = 1

D The function has an absolute minimum at approximately x - 1

11

1 pt

A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds.

For which interval is the ball's height always decreasing?

A

B

C

D

12

3 pts

A. How long did it take for Jasmine's ball to reach maximum height? Explain.

B. How long did it take for Mario's ball to reach maximum height? Explain.

C. If the rockets are launched at the same time, which rocket hits the ground first? Explain.

13

1 pt

Given the function:

Select the answer choice that best fits.

A The graph has a relative maximum at (-1, -4)

B The graph has an absolute maximum at (-1, -4)

C The graph has a relative minimum at (-1, -4)

D The graph has an absolute minimum at (-1, -4)

14

1 pt

Given the function:

Select the answer choice that best fits:

A The graph has a relative maximum at (5, 2)

B The graph has an absolute maximum at (5, 2)

C The graph has a relative minimum at (5, 2)

D The graph has an absolute minimum at (5, 2)

15

2 pts

Given the function:

Select ALL that apply:

A The graph has an absolute minimum at (0, -5)

B The graph has a relative minimum at (0, -5)

C The graph has an absolute maximum at (0, -5)

D The graph has a relative maximum at (0, -5)

E The graph has an absolute minimum at (2, -1)

F The graph has a relative minimum at (2, -1)

G The graph has an absolute maximum at (2, -1)

H The graph has a relative maximum at (2, -1)

16

2 pts

Given the function:

Select ALL the intervals where the graph is DECREASING:

A

B

C

D

17

2 pts

Given the function:

Select ALL the intervals where the graph is INCREASING:

A

B

C

D

18

1 pt

A piece of cardboard 8 inches by 5 inches can be used to make an open box. Squares of side length x inches are cut out of each corner, then the sides are folded to make the box. Which function could be used to model the length and width of the box?

A length = 8 + 2x and width = 5 + 2x

B length = 8 - 2x and width = 5 - 2x

C length = 8 + x and width = 5 + x

D length = 8 - x and width = 5 - x

19

3 pts

Select ALL that apply.

A

B

C

D

E

F

20

3 pts

Which of the following statements are ALWAYS true? Select ALL that apply.

A The graph of a linear function is always increasing.

B The graph of a quadratic function is both increasing and decreasing on portions of its domain.

C Every quadratic function has either an absolute maximum or an absolute minimum value.

D The graph of a cubic function can always be increasing, always be decreasing, or increasing and decreasing on portions of its domain.

E Every cubic function has a relative maximum value and a relative minimum value.

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