Continuous and Discrete Functions

Discrete and Continuous graphs

I can determine if a graph is continuous or discrete.

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(From a graph or a description.)

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​**Some additional practice with Domain & Range and Function or not a function included. :)

Some graphs are only distinct points and are called discrete graphs.

Some graphs are connected lines or curves called continuous graphs.

Should the following situations be represented by a discrete or continuous graph?

A small bookstore sold between 5 and 8 books each day for 7 days.

Henry begins to drain a water tank by opening a valve. Then he opens another valve. Then he closes the first valve. He leaves the second valve open until the tank is empty. 

Should the following situations be represented by a discrete or continuous graph?

A small bookstore sold between 5 and 8 books each day for 7 days.

Henry begins to drain a water tank by opening a valve. Then he opens another valve. Then he closes the first valve. He leaves the second valve open until the tank is empty. 

• This would be a discrete graph with individual points.

• It doesn't make sense to purchase 1/2 of a book.

This would be a continuous graph with all parts connected.

The water is constantly flowing and there is always an everchanging amount of water in the tank.

Practice

discrete or continuous

Multiple Choice

Discrete or continuous data?

• Discrete

• Continuous

Multiple Choice

The number of orange Skittles in a bag. 

• Discrete
• Continuous

Multiple Choice

The time it takes for a light bulb to burn out. 

• Discrete
• Continuous

Multiple Choice

Discrete or continuous data?

• Discrete

• Continuous

Multiple Choice

Identify whether the experiment involves a discrete or a continuous variable.

Tallying the number of times a student has been late during the 1st term

• Discrete Variable

• Continuous Variable

Multiple Choice

Which one of the following is discrete data?

• Sam is 160 cm tall
• Sam weighs 60 lbs.
• Sam ran 100 meters in 10.2 seconds
• Sam has two brothers and one sister

Multiple Choice

Discrete or continuous data?

• Discrete

• Continuous

Multiple Choice

Identify whether the experiment involves a discrete or a continuous variable.

Recording the number of times each student goes to the bathroom in each school day

• Discrete Variable

• Continuous Variable

Multiple Choice

Adam earns $10 for each car he washes.

• Discrete
• Continuous

Multiple Choice

While driving to Florida, Sophia averaged 72 m.p.h. 

• Discrete
• Continuous

Multiple Choice

Identify whether the experiment involves a discrete or a continuous variable.

Measuring the distance travelled by different cars using 1-liter of gasoline

• Discrete Variable

• Continuous Variable

Multiple Choice

The number of school lunches sold during the month. 

• Discrete
• Continuous

Multiple Choice

The number of miles it takes to use up a tank of gas. 

• Discrete
• Continuous

Multiple Choice

Discrete or Continuous?

• Discrete
• Continuous

Multiple Choice

Often involves a measurement, such as time and distance.

• Discrete
• Continuous

Multiple Choice

Is the graph pictured discrete or continuous?

• Discrete
• Continuous

Multiple Choice

On the graph, you should NOT connect the dots.

• Discrete
• Continuous

Multiple Choice

On the graph, you should connect the dots.

• Discrete
• Continuous

Multiple Choice

The number of suitcases lost by airlines. 

• Discrete
• Continuous

Multiple Choice

Identify whether the experiment involves a discrete or a continuous variable.

Number of phone calls answered by a call center agent during his/her shift

• Discrete Variable

• Continuous Variable

Multiple Choice

• Discrete

• Continuous

Multiple Choice

The time it takes for a car battery to die. 

• Discrete
• Continuous

Multiple Choice

Soft drinks sold from a vending machine on I-75 cost $1.75 per bottle.

• Discrete

• Continuous

Multiple Choice

Joe is losing an average of .5 pounds a week.  Is this continuous or discrete data?

• Discrete
• Continuous

Multiple Choice

Graph of the growth of a plant for the next 30 days. 

• Discrete
• Continuous

Practice

Domain & Range

​Function or not a function.

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: {-4, 0, 1, 2}
  R:{-4, -3, 1}
• D: {0, 1, 2, 3, 4}
  R:{1, -3, -4}
• D: {0, 1, 2, -4}
  R: {1, -3, -4, 1}

Multiple Choice

• It is a Function

• Not a Function

Multiple Choice

The best representation of the domain is . .

• {-4,-8,-9,9,10}

• {16,64,81,100}

• {16,64,81,81,100}

Multiple Choice

• It is a Function

• Not a Function

Multiple Choice

The best representation of the range is . .

• -2 $$\le$$  y $$\le$$  2

• -2 $$\le$$  x $$\le$$  2

• {-2,2}

Multiple Choice

What is the Range of this function?

• -6 ≤ y ≤ 6
• 0 ≤ y ≤ 6
• No Solution
• 4 ≤ y ≤ 3

Multiple Choice

• It is a Function

• Not a Function

Multiple Choice

• It is a Function

• Not a Function

Multiple Choice

How do you represent it's domain?

• y $$\ge$$  -2

• {-2,-1,0,1 . . .}

• x $$\ge$$  -2

Multiple Choice

• It is a Function

• Not a Function

Multiple Choice

• It is a Function

• Not a Function

Multiple Choice

How do you represent the range?

• y $$\ge$$  -1

• x $$\ge$$  -1

• All real numbers

Multiple Choice

How do you represent the domain?

• y $$\ge$$  -1

• x $$\ge$$  -1

• All real numbers

Multiple Choice

• It is a Function

• Not a Function

Multiple Choice

• It is a Function

• Not a Function

Multiple Choice

What is the domain and range?

• Domain: {-2}

  Ranger: {1,2,3,4}

• Domain: {1,2,3,4}

  Ranger: {-2}

• It's not a function so it doesn't have a domain or range.

Multiple Choice

• It is a Function

• Not a Function

Multiple Select

What is the domain and range?

• Domain

  {7,9}

• Range

  {7,9)

• Domain

  {-8,-1,0,15}

• Range

  {-8,-1,0,15}

• It's not a function so it doesn't have a domain or range.

Multiple Select

• It is a Function

• Not a Function

Multiple Choice

What is the domain and range?

• It's not a function so it doesn't have a domain or range.

• Domain: {-6,-2,4,11}

  Ranger: {5}

• Domain: {5}

  Ranger: {-6,-2,4,11}

Multiple Choice

• It is a Function

• Not a Function

Multiple Choice

• It is a Function

• Not a Function

Multiple Choice

• It is a Function

• Not a Function

Multiple Choice

What is the Domain of this function?

• -6 ≤ x ≤ 6
• 0 ≤ x ≤ 7
• 2 ≤ x ≤ 7
• No Solution

Multiple Choice

What is the range?

• {-3, -1, 2, 4}
• {0, 4, 7} 
• {0, 4, 4, 7}
• {7, 4, 0}

Multiple Choice

What is the domain?

• {-3, -1, 2, 4}
• {0, 4, 7} 
• {0, 4, 4, 7}
• {7, 4, 0}

Multiple Choice

Does this mapping represent a function?

• No

• yes