Topic 4 Building Functions (Borges Alg 2)

This 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

When
is subtracted from

the difference is:

1

The sum of
and
is

1

What is the product of
and

1

The expression
is equivalent to:

1

Which expression is equivalent to

1

The expression
can NOT be written as:

2

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

2

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

2

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

1

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

1

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?

3

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.

1

Given the function:
Select the answer choice that best fits.

1

Given the function:
Select the answer choice that best fits:

2

Given the function:

Select ALL that apply:

2

Given the function:

Select ALL the intervals where the graph is DECREASING:

2

Given the function:
Select ALL the intervals where the graph is INCREASING:

1

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?

3

How would you express a function, A(x), that could be used to model the area of the base of the open box?
Select ALL that apply.

3

When is subtracted from the difference is:

The sum of and is

What is the product of and

The expression is equivalent to:

Which expression is equivalent to

The expression can NOT be written as:

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

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

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

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

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. 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.

Given the function:Select the answer choice that best fits.

Given the function:Select the answer choice that best fits:

Given the function:Select ALL that apply:

Given the function:Select ALL the intervals where the graph is DECREASING:

Given the function:Select ALL the intervals where the graph is INCREASING:

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?

How would you express a function, A(x), that could be used to model the area of the base of the open box?Select ALL that apply.

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

When
is subtracted from

the difference is:

The sum of
and
is

What is the product of
and

The expression
is equivalent to:

The expression
can NOT be written as:

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

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. 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.

Given the function:
Select the answer choice that best fits.

Given the function:
Select the answer choice that best fits:

Given the function:

Select ALL that apply:

Given the function:

Select ALL the intervals where the graph is DECREASING:

Given the function:
Select ALL the intervals where the graph is INCREASING:

How would you express a function, A(x), that could be used to model the area of the base of the open box?
Select ALL that apply.