Exploring Linear and Nonlinear Functions

What is the general form of a linear function?

• y = x^3 + b

• y = mx + b

• y = ax^2 + bx + c

• y = a/x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What does the slope (m) represent in the equation y = mx + b?

• The y-intercept

• The rate of change

• The constant term

• The x-intercept

Tags

CCSS.8.EE.B.5

Why is the function y = x^2 + 1 not linear?

• It has a slope of zero

• It has an exponent other than one

• It forms a straight line

• It has a constant rate of change

Tags

CCSS.8.F.A.3

What is the y-value when x = -1 in the function y = x^2 + 1?

• 3

• 2

• 1

• 0

Tags

CCSS.HSF.IF.A.2

What is the slope of the function y = 1/2 x?

• 1

• 1/2

• 0

• 2

Tags

CCSS.8.EE.B.5

Which of the following indicates a linear function?

• A graph that forms a curve

• An equation with an exponent other than one

• A table with a constant rate of change

• A function with x in the denominator

Tags

CCSS.8.F.A.3

What is the main difference between the equations of linear and non-linear functions?

• Linear functions are in the form y = mx + b

• Non-linear functions have a constant rate of change

• Non-linear functions form straight lines

• Linear functions have x in the denominator

Tags

CCSS.8.F.A.3

What is the y-value when x = 2 in the function y = 1.5x + 2?

• 3

• 6

• 4

• 5

Tags

CCSS.HSF.IF.A.2

Which of the following is a non-linear function?

• y = x^3

• y = 3x - 1

• y = 2x + 3

• y = 1/2 x

Tags

CCSS.8.F.A.3

What is a key characteristic of a non-linear function's table?

• It shows a constant rate of change

• It has a slope of zero

• It does not show a constant rate of change

• It forms a straight line

Tags

CCSS.8.F.A.3