Functions, Linear and Non Linear

Which equations represent linear functions?

• Equations 1 and 2, only

• Equations 1 and 4, only

• Equations 2 and 3, only

• Equations 1, 3, and 4, only

How do you determine if a relation is a function? 

• The vertical line test crosses more than one point on the graph.

• The same y-values are mapped from the same x-values.

• The vertical line test crosses only one point on the graph.

• Each input is related to more than one output.

Is this a function? Explain.

• Yes; it passes the horizontal line test.

• No; it is not a straight line.

• Yes; it passes the vertical line test.

• No; there is a line connecting the dots.

Is this graph a function or not a function? 

• Function

• Not a Function

Does the graph represent a linear function, a non-linear function, or is it not a function?

• Linear Function

• Non-Linear Function

• Not a Function

Which graph depicts a nonlinear function?

• Graph A

• Graph B

• Graph C

• Graph D

Is this mapping a function or not a function? 

• Function

• Not a Function 

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.

The slopes of parallel lines are...

• the same

• opposite

• always different

Find the slope of the line.

• -2

• 2

• -1

• 1