AL1 Functions unit review assignment

As previously mentioned, to find a function within ordered pairs; the X value can't repeat.

​

Can you find the which set in the diagram is not a function....Explain your answer.

​

Funtion and Ordered Pairs

​For mappings to be a function....the input (x) must have only 1 output (y)

​

Is this mapping a function? ​

​

Functions and Mappings​

​

Graphing is a visual representation of a table or a set of ordered pairs.

​

To find if the graph is a function the x value must have only one y value

​

We must do a Vertical Line Test to confirm the graph is a function​

​

Functions and graphs

Multiple Choice

What is the definition of function?

• Has inputs and outputs
• Every input (x-value) has only ONE output (y-value)

• Inputs have different outputs every time
• x-values and y-values

Multiple Choice

All of the x values or inputs are called what?

• Domain

• Range

• Relation

• Function

Multiple Choice

All of the y values or outputs are called what?

• Domain

• Range

• Relation

• Function

Multiple Select

What are 3 different ways to represent ordered pairs?

• Mapping Diagram

• Table

• Inequalities

• Graph

Multiple Choice

Is this table a function or not a function?

• Function

• Not a Function

Multiple Choice

• Function
• Not a Function

Multiple Choice

• Yes
• No

Multiple Choice

Which of these tables represent a function?

• A
• B
• C
• D

Multiple Choice

• Function
• Not a Function

Multiple Choice

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values pair with it.

• No, because each x-value has only one y-value paired with it.

Multiple Choice

Is this mapping a function or not a function?

• Function

• Not a Function

Multiple Choice

What is the definition of function?

• Has inputs and outputs
• Every input has only ONE output
• Inputs have different outputs every time
• x-values and y-values

Multiple Choice

Using the vertical line test. Is this a function?

• Yes

• No

Multiple Choice

Using the vertical line test. Is this a function?

• Yes

• No

Multiple Choice

Using the vertical line test. Is this a function?

• Yes

• No

Multiple Choice

Using the vertical line test. Is this a function?

• Yes

• No

Multiple Choice

Is this a function?

• Yes

• No

Multiple Choice

Is this a function?

• Yes

• No

Multiple Choice

Functions have exactly one output for every input

• true

• false

Example: Name the domain and range for this relation below

(-5, -3), (-2,0), (1,3), (4,6), (7,9)

Domain (all the x-values): {-5, -2, 1, 4, 7}

Range (all the y-values): {-3, 0, 3, 6, 9}

Multiple Choice

Which numbers make up the domain of this relation below:

(7, 5), (-3, 2), (1,- 1), (4, -6), (-2, 4)

• {1, 2, 3, 4, 5}

• { -3, 1, 7}

• {-3, -2, 1, 4, 7}

• {-6, -1, 2, 4, 7}

Multiple Choice

What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)

• -4, 4, 8, 9
• -2, 3, 8, 10
• (9, -2) ( 4, 3)
• (8, 10) (-4, 8)

Multiple Choice

Is this graph a function or not a function? 

• Function
• Not a Function 

Multiple Choice

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.
• Yes, because each x-value has only one y-value paired with it.
• No, because the x-value 11 has two y-values pair with it.
• No, because each x-value has only one y-value paired with it.

Multiple Choice

Identify the domain and range. Does the relation represent y as a function of x?

• D: {4}

  R: {1, 3, 7, 10}

  No, it is not a function.

• D: {1, 3, 7, 10}

  R: {4}

  Yes, it is a function

• D: {4}

  R: {1, 3, 7, 10}

  Yes, it is a function.

Domain and Range

• Domain (left to right)

• Range (bottom to top)

Multiple Choice

Which algebraic notation represents the DOMAIN?

• $$\left[-3,1\right]$$  

• $$-3<x\le1$$  

• $$\left(-3,1\right)$$  

• $$-3\le x<1$$  

Multiple Choice

Which is the correct RANGE algebraic notation?

• $$-2\le y\le3$$  
  

• $$\left[-2,3\right]$$  
  

• $$\left[-5,3\right]$$

• $$-5\le y\le3$$

Multiple Choice

What is the domain of the function shown?

• All Real Numbers

• $$-10\le x\le10$$  

• $$-9\le y\le5$$  

Multiple Choice

What is range of the table?

• 0, 2, 10, 12

• -12, 13, 16

Multiple Choice

Find the DOMAIN

• {-5, -2, 1, 4}

• {1, -2, 4, -5}

• {-1, 0, 2, 3}

• {0, -1, 2, 3}

Multiple Choice

What is the domain of this graph?

• {-2 < x < 4}

• {-5 < x < 4}

• {-4, 0, -2}

• {-4 < x < 2}

Multiple Choice

What is a function?

• Every input has ONLY one output

• A party

• X and Y Values

• Inputs have different outputs every time

Multiple Choice

All x values or inputs are called what?

• Relation

• Domain

• Range

• Functions

Multiple Select

All y values or outputs are called what?

• Relations

• Domain

• Range

• Functions