Function and Volume

Draw

Given the points A (1, 2), B (-3, 4), C (2, -5), and D(-4, -6), plot and label the, on the grid below and state the quadrant that each point lies in.

Multiple Choice

How do you write an ordered pair?

• (X,X)

• (Y,X)

• (X,Y)

• (Y,Y)

Multiple Choice

In the ordered pair (4,9), which number is the y-coordinate?

• 4

• 9

• neither

• both

Multiple Choice

What is coordinate R?

• (2,5)

• (0,1)

• (2,3)

• (1,0)

Multiple Choice

What is Coordinate N?

• (7,6)

• (5,5)

• (6,6)

• (7,7)

Multiple Choice

What letter is located at (8, 5)?

• A

• B

• C

• D

​The x-coordinates represent the DOMAIN

The y-coordinates represent the RANGE

Here are some different ways to represent domain and range.

​X-values or Domain

​y-values or Range

​-2

​4 -1 4 0 6 1 8 2 8

Draw

Use the mapping shown to write the ordered pairs.

Draw

Express the relation as a table, graph the ordered pairs, and then create a mapping diagram. Then, state the domain and range.

Multiple Choice

What is the range (y-values) of the given

set of values from the chart?

• $$\left\{3,\ 4,\ 5,\ 6\right\}$$  

• $$\left\{6,\ 7,\ 8,\ 9\right\}$$  

• $$\left\{0,\ 1,\ 4\right\}$$  

• $$\left\{-4,\ -3,-2,\ -1\right\}$$  

Multiple Choice

What is the domain (x-values) of the given

set of values from the chart?

• $$\left\{3,\ 4,\ 5,\ 6\right\}$$  

• $$\left\{6,\ 7,\ 8,\ 9\right\}$$  

• $$\left\{0,\ 1,\ 4\right\}$$  

• $$\left\{-4,\ -3,-2,\ -1\right\}$$  

Multiple Choice

Three of the representations below show the same relation. Which answer choice shows a relation that is different from the other three?

Compare the ordered pairs (x,y) for each.

• $$A$$  

• $$B$$  

• $$C$$  

• $$D$$  

Multiple Choice

A mapping is shown.

Which set of ordered pairs represents the same relation as the mapping?

• $$\left[\left(7,4\right),\left(7,5\right),\left(10,4\right),\left(10,6\right)\right]$$  

• $$\left[\left(4,7\right),\left(5,7\right),\left(6,10\right)\right]$$  

• $$\left[\left(4,7\right),\left(4,10\right),\left(5,7\right),\left(6,10\right)\right]$$  

• $$\left[\left(4,7\right),\left(4,10\right),\left(5,7\right),\left(6,7\right),\left(6,10\right)\right]$$  

Multiple Choice

Express the relation in the graph as a set of ordered pair.

• $$\left[\left(-1,-2\right),\left(3.-1\right),\left(4,\ -2\right)\left(4,1\right)\right]$$  

• $$\left[\left(2,1\right),\left(-3,1\right),\left(-2,4\right),\left(4,-1\right)\right]$$  

• $$\left[\left(-2,-1\right),\left(-1,3\right),\left(4,-2\right),\left(1,4\right)\right]$$  

• $$\left[\left(-2,-1\right),\left(1,3\right),\left(4,2\right),\left(-1,4\right)\right]$$  

Multiple Choice

What is another name for the x-values of a set of coordinates?

• range

• domain

• output

• ordered pair

Multiple Choice

What is another name for the y-values of a set of coordinates?

• range

• domain

• input

• independent variable

Multiple Choice

What is the domain of the given table?

• $$\left(2,\ 5,\ 3,\ -1\right)$$  

• $$\left(-2,\ -1,\ 2,\ 5\right)$$  

• $$\left(-2,\ 3\ ,5\right)$$  

• $$\left(1,\ 2,\ 3,\ 5\right)$$  

Multiple Choice

What is the range of the given mapping?

• $$\left(-2,\ 0,\ 2,\ 4\right)$$  

• $$\left(-4,\ 0,\ 2,\ 3\right)$$  

• $$\left(-4,\ -1,\ 3\right)$$  

• $$\left(0,\ 2,\ 4\right)$$  

Multiple Choice

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

• D: {1, -3, -4,} R: {0, 1, 2, -4}

• D:{0, 1, 2, -4} R:{1, -3, -4}

• D:{0, 1, 2, 3, 4} R:{1, -3, -4}

Multiple Choice

How do you find the volume of a cylinder?

• V= ^1/₃ πr²h

• V= ^4/₃ πr²h

• V= ^4/₃ πr³

• V= πr²h

Multiple Choice

How do you find the volume of a cone?

• V= ^1/₃ πr²h

• V= ^4/₃ πr²h

• V= ^4/₃ πr³

• V= πr²h

Multiple Choice

How do you find the volume of a sphere?

• V= ^1/₃ πr²h

• V= ^4/₃ πr²h

• V= ^4/₃ πr³

• V= πr²h

Multiple Choice

A table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?

• 1,676 mm³

• 18,850 mm³

• 33,510.3 mm³

• 268,083 mm³

Multiple Choice

A cone has a height of 30 in. and a diameter of 20 in. What is the approximate volume of the cone?

• 600 in³

• 1,885 in³

• 3,140 in³

• 12,566 in³

Multiple Choice

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

• 21 cubic inches

• 63 cubic inches

• 66 cubic inches

• 198 cubic inches

Multiple Choice

What value do we use to approximate this symbol?

• $$pi\ \approx\ 3$$

• $$pi\ \approx\ 31.4$$

• $$pi\ \approx\ 3.14$$

• $$pi\ \approx\ 13.4$$

Multiple Choice

Which of the following correctly identifies the dimensions of this cone.

• $$r\ =\ 10\ ,\ h\ =2$$  

• $$r\ =\ 8\ ,\ h\ =2$$  

• $$r\ =\ 2\ ,\ h\ =8$$  

• $$r\ =\ 2\ ,\ h\ =10$$  

Multiple Choice

Which of the following correctly identifies the dimensions of this cylinder.

• $$r\ =\ 3\ ,\ h\ =\ 10$$

• $$r\ =\ 10\ ,\ h\ =\ 3$$

• $$r\ =\ 3\ ,\ h\ =\ 13$$

• $$r\ =\ 13\ ,\ h\ =\ 10$$

Multiple Choice

The radius in this cylinder is 6.4 cm. True or False?

• True

• False

Multiple Choice

Calculate the volume of this cylinder. Use the formula $$v=\pi r^2h$$  and  $$\pi=3.14$$ . 

• $$v=150.72\ ft^3$$  

• $$v=602.88\ ft^3$$  

• $$v=1,808.64\ ft^3$$  

• $$v=301.44\ ft^3$$  

Multiple Choice

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 

Which equation can be used to find the volume of the container?

• V = π(9)

• V = π(4.5)²(32)

• V = π(9)²(32)

• V = π(4.5)(32)

Multiple Choice

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

• 21 cubic inches

• 63 cubic inches

• 66 cubic inches

• 198 cubic inches

Multiple Choice

A large sphere at an amusement park is 165 feet in diameter. Which of the following is closest to the volume, in cubic feet, of the sphere? Use π=3.14.

• 261,000
• 2,351,000
• 18,810,000
• 41,210,000

Multiple Choice

What 3-D shape is this?

• cube

• sphere

• cone

• cylinder

Multiple Choice

What 3-D shape is this?

• cone

• cylinder

• circle

• sphere

Multiple Choice

What shape is this?

• Sphere

• Cylinder

• Cone

• Circle Prism