2.05 (Distinguishing Functions)

2.05 (Distinguishing Functions)

-I can identify a relation as a function by applying what I know about the domain and range of a function.

Multiple Choice

Do Now: Which definition describes a function?

• A function has ONLY ONE output (y) for every input (x)

• A function has ONE OR MORE output(s) (y) for every input (x)

Open Ended

What do you Notice? What do you wonder?

Domain & Range Map

• Domain: All x-values that satisfy the function

• Range: All y-values that satisfy the function

• Arrows pairs/map each input(x) to each output(y)

“I saw … so I connected....” -or-    “... matches … because...”

Summary of Notes

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

Does this mapping diagram represent a function?

• No, because an input value goes to multiple output values
• Yes, because each input goes to one and only one output

Multiple Choice

Determine whether the mapping diagram represents a function.

• Function

• Not a function

Multiple Choice

Determine whether the mapping diagram represents a function.

• Function

• Not a function

Multiple Select

Which graph represents a function? Select all that apply.

Multiple Choice

Which of the following is NOT a function?