Identifying Functions with Graphs

Does the following graph represent a function?

• Yes, because each input has exactly one output.

• Yes, because each output comes from exactly one input.

• No, because there are multiple inputs.

• No, because there are multiple outputs.

Consider this graph of a function. Which of the following inputs would produce an output of 0? Check all that apply.

• 0

• 1

• 2

• –2

• –1

Does this graph represent a function? Explain why or why not. [Hint: look carefully at the dots.]

• Yes, each input has exactly one output.

• No, there are infinite inputs with an output of 2.

• No, 3 has two different outputs.

• No, the graph does not have a consistent slope.

Consider the graph. Which of the following are true statements about the equation represented by the graph? Check all that apply.

• It is a function

• It is not a function

• An input of 1 has an output of 1

• An input of 1 has an output of 3

• An input of 2 has an output of 2

• Function: It passes the Vertical Line Test

• Not a function: It fails the Vertical Line Test

• Function: All the points are distinct

• Not a function: Some points are not distinct

When graphed on the coordinate plane, a two-variable equation is a function iff its graph passes the...

• Vertical Line Test

• Horizontal Line Test

• Converging Arrows Test

• Diverging Arrows Test

Which of the graphs below represent functions? Check all that apply.

• 
• 
• 
• 

Consider this graph of a function. An input of –2 would produce an output of...

• 0

• 1

• 2

• –2

What is the domain of the relation shown in this graph?

• All real numbers

• It's not a function so it doesn't have a domain

What is the range of the relation shown in this graph?

• All real numbers

• It's not a function so it doesn't have a range