Introduction to Functions and Domain and Range

Domain and Range of Continuous graphs

Continuous Functions

Yesterday we learned how to find the domain and range of continuous data (graphs with connected points).

Multiple Choice

What is the definition for Domain?

• The set of all X values

• The set of all Y values

Multiple Choice

What is the definition for Range?

• The set of all X values

• The set of all Y values

Remember, we capitalize the N in domain to help us remember that we focus on the sides of our rectangle and we capitalize the E in range to help remember that we focus on the bottom and top of our rectangle.

Multiple Choice

How do we read Domain of Continuous Data?

• Left to Right

• Bottom to Top

Multiple Choice

How do we read Range of Continuous Data?

• Left to Right

• Bottom to Top

We learned that we use inequality symbols when writing domain and range for continuous data.

Domain (X) = {-1, 0, 1, 2, 3}

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Range (Y) = {1, 2, 3}​

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​Can't remember which is which? D and R are alphabetical order and so are X and Y.

"Discrete" Function is scattered points​

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Multiple Choice

Which of these sets is the RANGE of the graph?

• {0, 6, 12, 18}

• {-2, 0, 2, 4}

• {-2, 2, 4}

• {6, 12, 18}

What is the domain for the graph shown above?

Multiple Choice

What is the domain for the graph shown in the slide before?

• $$-5\le x<5$$

• $$-5\le y\le5$$

• $$-5\le x\le5$$

• $$-5\le y\le7$$

What is the range for the graph shown above?

Multiple Choice

What is the range for the graph shown in the slide before?

• $$-6\le x\le5$$

• $$-5\le y\le5$$

• $$-6\le y\le5$$

• $$-5\le x\le5$$

Multiple Choice

Find the domain.

• $$x\ge-3$$  

• $$x\le3$$  

• $$-3\le x\le3$$  

Multiple Choice

Find the range.

• $$y\ge-3$$  

• $$y\le3$$  

• $$-3\le y\le3$$  

Multiple Choice

Find the domain.

• All Real Numbers 

•   $$x>7$$  

• $$x\le10$$   

Multiple Choice

Find the range.

• $$y\ge-10$$   

• All Real Numbers 

• $$y\le10$$   

Multiple Choice

Find the domain.

• All Real Numbers 

•   $$x\ge-2$$   

• $$x\le5$$    

Multiple Choice

Find the range.

• All Real Numbers  

• $$y\ge4$$   

•    $$y\le4$$  

Multiple Choice

Find the domain.

• All Real Numbers 

•     $$x\le-1$$  

• $$-1\le x\le5$$     

Multiple Choice

Find the range.

• All Real Numbers  

• $$-3\le y\le3$$    

•    $$y\le4$$  

Multiple Choice

Function or not a function

• function

• not a function

Multiple Choice

Function or not a function

• function

• not a function

Multiple Choice

Is this a function

• Function

• Not a Function

Multiple Choice

Which of the following is NOT a function?

Multiple Choice

Is this a function?

• Function

• Not a Function

Multiple Choice

Which set of ordered pairs is a function?

• {(9,5), (10,5), (9,-5), (10,-5)}

• {(3,4), (4,-3), (7,4), (3, 8)}

• {(6,-5), (7, -3), (8, -1), (9, 1)}

• {(2, -2), (5, 9), (5, -7), (1, 4)}

Multiple Choice

Which "line" is the Y-axis?

• blue

• red

Multiple Choice

Which "line" is the X-axis?

• blue

• red

Multiple Choice

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

Multiple Choice

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

Multiple Choice

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

Multiple Choice

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

Multiple Choice

How do you write an ordered pair?

• (X,X)
• (Y,X)
• (X,Y)
• (Y,Y)

Multiple Choice

Which letter matches the coordinate (4, -6)?

• G

• Z

• K

• None of the above

Multiple Choice

Which point is located at (-4,2) ?

• A

• B

• C

• D

Multiple Choice

In which quadrant is the following point?
(-3, 12)

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV