Linear Functions, Non-Linear Functions, and Not a Function

Is the function Linear or Nonlinear?

• Linear

• Nonlinear

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

Which set of ordered pairs is a function?

• <(p>{(9,5), (10,5), (9,-5), (10,-5)}

• {(3,4), (4,-3), (7,4), (3, 8)}

• {(6,-5), (7, -3), (8, -1), (9, 1)}

• {(2, -2), (5, 9), (5, -7), (1, 4)}

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.

Which of these tables represent a function?

• A

• B

• C

• D

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 table a function or not a function? 

• Function 

• Not a function 

Which set of coordinates is NOT a function?

• (5,10) (2, -3) (8,12) (-4, 2)

• (5, 10) (2, 10) (3, 10) (-4, 10)

• (5, 10) (2, -3) (8, 12) (2, -4)

• (10, 5), (-3, 2) (12, 8) (2, -4)

Find the rate of change

• 1

• 2

• 11

• Not a constant slope/Non-Linear