Introduction to Functions

Introduction to Functions

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

Open Ended

Ordered Pairs:

{(10, 9), (–2, –16), (–6, 7), (5, 8), (8, –16), (–11, 9)}

Step 1: Highlight x values

Step 2: Any same x value? If no, then Yes function.

Step 3: If yes, check y value, is it the same? Yes, then function.

Step 4: If No then, not the same ordered pair, so Not a function

Poll

Ordered Pairs

Is this a function or not a function?

{(6, 0), (–12, –16), (–6, 10), (20, –7)}

• Yes is Function

• No is not Function

Multiple Select

Ordered Pairs:

Is this a function or not a function?

{(15, –3), (–6, 9), (–3, 0), (–1, 16)}

• Yes is Function

• No is not Function

Poll

Ordered Pairs

Is this a function or not a function?

{(12, –18), (15, 1), (12, 5), (0, 9), (–5, –17)}

• Yes is Function

• No is not Function

Multiple Select

Ordered Pairs:

Is this a function or not a function?

{(–13, 4), (7, –15), (–13, 9), (6, –12), (–18, 0)}

• Yes is Function

• No is not Function

Open Ended

Graphs
Vertical Line Test

If the vertical line touches the graph 2 or MORE times then IS NOT a function.

If the vertical line touches the graph only 1 times then IS a function.

https://www.mathworksheets4kids.com/function/domain-range/infinite-graph-1.pdf

Poll

Graphs

Is this a function or not a function? Use the vertical line test.

• Yes is Function

• No is not Function

Multiple Select

Graph

Is this a function or not a function? Use the vertical line test.

• Yes is Function

• No is not Function

Multiple Select

Graph

Is this a function or not a function? Use the vertical line test.

• Yes is Function

• No is not Function

Open Ended

Tables

Check the x values. 

Is x the same? No then YES a function
Is x the same? Yes, then check y value.
            If y is the same then YES function
            If y is not the same then NO is not a function

https://www.onlinemath4all.com/identifying-functions-from-tables-worksheet.html

Poll

Tables

Is this a function or not a function?

• Yes is Function

• No is not Function

Multiple Select

Tables

Is this a function or not a function?

• Yes is Function

• No is not Function

Multiple Select

Tables

Is this a function or not a function?

• Yes is Function

• No is not Function

Open Ended

Mappings

Check how many arrows come out of 1 x values.

If only 1 arrow, then YES is a Function.

If 2 or more arrows, then NO is not a Function.

http://www.mpsaz.org/rmhs/staff/gethompson/class_5/files/2.3_day_1.pdf

Poll

Mappings

Is this a function or not a function?

• Yes is Function

• No is not Function

Multiple Select

Mappings

Is this a function or not a function?

• Yes is Function

• No is not Function

Multiple Select

Mappings

Is this a function or not a function?

• Yes is Function

• No is not Function