Unit 6 Functions

Which equations are linear functions?

• y = x² + 4

• x + y = 4

• y = 4x + 4

• 8x + 8y = 4

Which equations are nonlinear equations?

• -2x - 4y = 12

• x² + y = 3

• 2xy + 3 = 12

• x² = y

Which of the following relations are functions?

• (2,-4), (-3,2), (2,3), (-2,3)

• (5,-4), (-4,5), (-6,4), (4,-3)

• (8,-5), (-5,8), (5,-9), (-8,5)

• (-7,6), (5,-7), (-7,9), (10,3)

In order to be a function...

• the x- and y- values CANNOT repeat

• the y-values CANNOT repeat

• the x-values CAN repeat

• the x-values CANNOT repeat

Which table represents a function?

• 
• 
• 

Which statement is true?

• The independent variable is on the x-axis and the dependent variable is on the y-axis.

• The independent variable is on the y-axis and the dependent variable is on the x-axis.

Find the domain and range of the table.

• Domain: {1, 4, 7, 10}

  Range: {0, 1, 2, 3}

• Domain: {0, 1, 7, 10}

  Range: {1, 4, 2, 3}

• Domain: {0, 1, 2, 3}

  Range: {1, 4, 7, 10}

• Domain: {1, 4, 2, 3}

  Range: {0, 1, 7, 10}

What is the function rule of the table?

• f(x) = 3x + 1

• f(x) = (1/3)x + 1

• f(x) = x + 3

• f(x) = x + 1

Which equations represent a proportional relationship (direct variation)?

• y = x

• y = x + 2

• y = 3x - 1

• y = 2x

What is the rate of change represented by the table?

• 1/2

• 2

• 3

• 1/3