Module 4 Linear and Nonlinear Functions

A student graphed f(x) = x and g(x) = 4f(x). Which statement is true?

• The graph of f is steeper than the graph of g.

• The graph of f is less steep than the graph of g.

• The graph of f is shifted 2 units up to create the graph of g.

• The graph of f is shifted 2 units to the right to create the graph of g.

A student graphed f(x) = x and g(x) = f(x + 4). Which statement is true?

• The graph of f is steeper than the graph of g.

• The graph of f is less steep than the graph of g.

• The graph of f is shifted 4 units up to create the graph of g.

• The graph of f is shifted 4 units to the left to create the graph of g.

Determine the transformation 

• left 3, up 2

• right 3, up 2

• left 3, down 2

• right 3, down 2

Determine the transformation

• Left 5, up 1

• Left 5, down 1

• Right 5, up 1

• Right 5, down 1

Determine the transformation

• Stretch by factor of 2, left 3

• Shrink by factor of 2, left 3

• Stretch by factor of 2, right 3

• Shrink by factor of 2, right 3

Let g(x)=9x+24, find g(3).

• 3

• 33

• 51

• -2.66

Is this function linear or nonlinear?

• Linear

• Nonlinear

Is the graph pictured a linear or nonlinear function?

• Linear

• Nonlinear

Is the function linear or nonlinear?

y = 6x + 4

• Linear

• Nonlinear

What is the y-intercept of the line?

•  (0,¹/₂)

• (0,1)

• (0, ^-1/2)

• (0, -1)