Introduction to Functions

Introduction to Functions

When you put an input into a machine you can only get out one output.

THAT'S A FUNCTION!

(Each input has only one output)

​X value

​Y value

Multiple Choice

Which vocabulary word represents the x in a function

• domain

• range

• relation

• I don't know, I wasn't paying attention

Multiple Choice

All of the y values or outputs are called what?

• Domain
• Range
• Relation
• Function

Multiple Choice

All of the x values or inputs are called what?

• Domain
• Range
• Relation
• Function

Multiple Choice

Which of these is NOT the same

• Range
• Input
• Dependent Value
• Y-Value

​Domain : {3, 1, -2}

​Domain : {3, 1, -2}


Range : {2, 6, 0}

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

The student council set its members on four field trips during the school year.  The number of buses needed to transport the members on each trip is a function of the number of members who went on the trip.  This function consists of only the ordered pairs (52, 3), (72, 4), (86, 5), and (105, 6).  What is the domain for this situation?

• {52, 105}
• {3, 4, 5, 6}
• {52, 72, 86, 105}
• {3, 4, 5, 52, 72, 86, 105}

These are all functions

EACH X VALUE

HAS ONLY ONE Y VALUE

These are NOT functions

In each example

there is an X VALUE that has more than one Y VALUE

Multiple Choice

Is the relation a function? Why.

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

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

Multiple Choice

Is this table a function or not a function?

• Function

• Not a Function

Multiple Choice

Is this mapping a function or not a function?

• Function

• Not a Function

Multiple Choice

Is this set of ordered pairs 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

The vertical line test

• To tell if a graph is a function, draw a vertical line anywhere on the graph.

• If any vertical line touches the graph in more than one location it is NOT a function

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