Linear and Nonlinear Functions Graphs

• Function
• Not a Function

• Function
• Not a Function

• Function
• Not a Function

• Function
• Not a Function

Is the table pictures a linear relationship? Why or Why not?

• Yes, it has a constant change

• Yes, it does not have different rates of change

• No, it has constant rate of change

• No, it does not have a constant rate of change

Is the table pictured a linear relationship? Why or Why not

• Yes, it has a constant change

• Yes, it does not have different rates of change

• No, it has constant rate of change

• No, it does not have a constant rate of change

• Function
• Not a Function

Which statement BEST explains why the graphed relation is NOT a function?

• The graphed relation is not a line.

• There are infinitely many points on the graph.

• The domain of the graph does not include all real numbers.

• There are points on the graph with the same x-coordinate but different y-coordinates.

The relation above does not define y as a function of x because

• the relation is not linear.

• points (2,2) and (3,2) have the same y value.

• points (3,2) and (3,3) have the same x-value.

• several points have equal x and y-values.

Which of the following graphs represents a linear relationship between x and y?

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