Intro to functions 2.2

Functions

Today's Objective: I can determine if a relation is a function

Functions

• When the x that you try gives you only one y THAT'S A FUNCTION

• A function is a special relation where each x-value only has one y-value

Multiple Choice

If f(x) = 2x² + 5x - 3, evaluate f(-1).

• f(-1) = -6

• f(-1) = 1

• f(-1) = -10

• f(-1) = -1

Poll

Can you identify if a relation, table or graph is a function?

• Absolutely!

• Probably

• Maybe?

• What?

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

THAT'S A FUNCTION!

(Each input has only one output)

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

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

Is this set of ordered pairs 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

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

Is this graph a function or not a function?

• Function

• Not a Function

Poll

Do you feel you understand these concepts and are ready to move on?

• Ready! Too easy

• I need more time

• I'm ready but I'm not tho

• Honestly not paying attention