Linear vs Non-Linear Functions

Which of the following is an example of a linear function?

• y = x^2 + 3

• y = 2x + 3

• y = 4/x + 2

• y = 3x^2 + 5x + 2

Tags

CCSS.8.F.A.3

What is the key difference between linear and non-linear functions?

• Number of variables

• Rate of change

• Color of the graph

• Type of equation

Tags

CCSS.8.F.A.3

Identify the linear function from the given set of equations: y = 2x + 3, y = x^2 + 5, y = 3x - 1, y = 4 - 2x

• y = x^2 + 5

• y = 4 - 2x

• y = 2x + 3

• y = 3x - 1

Tags

CCSS.8.F.A.3

Explain why the function y = 3x^2 + 2 is non-linear.

• It is non-linear because it has a slope of 3

• The function y = 3x^2 + 2 is non-linear because it is a quadratic function with the highest power of x being 2.

• The function is non-linear because it has a constant term

• The function is non-linear because it is a straight line

Tags

CCSS.8.F.A.3

Determine if the following table represents a linear or non-linear function: x | y 1 | 3 2 | 6 3 | 9

• cubic

• quadratic

• exponential

• linear

Tags

CCSS.8.F.A.3

Graph the function y = 2x - 1. Is this a linear or non-linear function?

• Linear

• Exponential

• Cubic

• Quadratic

Tags

CCSS.8.F.A.3

What is the general form of a linear function?

• y = mx^2 + b

• y = mx + c

• y = mx - b

• y = mx + b

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which of the following graphs represents a non-linear function?

• Graph D

• Graph A

• Graph C

• Graph B

Tags

CCSS.8.F.A.3

Explain the concept of slope in the context of linear functions.

• The slope of a linear function is the maximum value of the function.

• The slope of a linear function is the area under the curve.

• The slope of a linear function represents the rate of change or the steepness of the line.

• The slope of a linear function is the y-intercept of the line.

Tags

CCSS.8.EE.B.5

Identify the non-linear function from the given set of equations: y = 4x - 2, y = x^3 + 2, y = 5/x, y = 2^x

• y = x^3 + 2

• y = 4x - 2

• y = 5/x

• y = 2^x

Tags

CCSS.8.F.A.3