Functions

Functions

What is a Function?

A special relationship between values;

each input (x) has exactly one output (y)

Multiple Choice

Is the following relation a function?

 $\left\{\left(5,-2\right),\left(3,-5\right),\left(2,-5\right),\left(0,-2\right),\left(-1,-3\right)\right\}$  

• Yes

• No

Multiple Choice

Is the following relation a function?

• Yes

• No

Multiple Choice

Is the following relation a function?

• Yes

• No

The Vertical Line Test

• When given the graph of a relation, the vertical line test can be used to determine whether the relation is a function.

• The vertical line test states that is a vertical line intersects a graph more than once, then it is NOT a function.

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 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

This is a one-to-many relation. Is it a function??

• Function
• Not a Function

Multiple Choice

A relation where every input in matches with exactly one output is called what?

• Relation

• Linear

• Exponential

• Function

Multiple Choice

Is this a function? Explain.

• Yes; it passes the horizontal line test.
• No; it is not a straight line.
• Yes; it passes the vertical line test.
• No; it does not pass the vertical line test

Multiple Choice

Is relation shown a function?

• YES
• NO

Multiple Choice

Is the following relation a Function?

• Yes

• No

Multiple Choice

Is the following relation a Function?

• Yes

• No

Multiple Choice

Is the following relation a Function?

• Yes

• No

Multiple Choice

Is the following relation a Function?

• Yes

• No

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function 

Multiple Choice

Which ordered pair could you add to the following list of points to create a function?  (3, 5) (4, 9) (2, 5) 

• (3, 7)
• (4, 1) 
• (1, 9)
• (2, 6)

Multiple Choice

Does the table represent a function?

• Yes, there  is a repeated x-value. 
• No, there aren't any repeated y-values. 
• Yes, there are repeated y-values. 
• No, there is a repeated x-value. 

Multiple Choice

Which graph does NOT pass the vertical line test?

• Graph 1
• Graph 2
• Graph 3
• Graph 4

Multiple Choice

Is this graph a function or not a function? 

• Function
• Not a Function

Multiple Choice

Is this graph a function or not a function? 

• Function 
• Not a Function

Multiple Choice

Which set of values 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

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