Linear Versus Non Linear

Is the function linear or nonlinear?

• Linear

• Nonlinear

Answer explanation

The function is linear because it can be expressed in the form y = mx + b, where m and b are constants. This indicates a constant rate of change, characteristic of linear functions.

Is the function linear or nonlinear?

• Linear

• Nonlinear

Answer explanation

The function is classified as nonlinear because it does not satisfy the properties of linearity, such as additivity and homogeneity. Therefore, the correct choice is Nonlinear.

Is the function linear or nonlinear?

• Linear

• Nonlinear

Answer explanation

The function is linear because it can be expressed in the form y = mx + b, where m and b are constants. This indicates a constant rate of change, characteristic of linear functions.

Is the function linear or nonlinear?

• Linear

• Nonlinear

Answer explanation

The function is nonlinear because it does not satisfy the properties of linearity, such as additivity and homogeneity. Therefore, the correct choice is Nonlinear.

Is the function linear or nonlinear?

• Linear

• Nonlinear

Answer explanation

The function is linear because it can be expressed in the form y = mx + b, where m and b are constants. This indicates a constant rate of change, characteristic of linear functions.

Is the function linear or nonlinear?
y =  2

• Linear

• Nonlinear

Answer explanation

The function y = 2 is a constant function, which can be expressed in the form y = mx + b, where m = 0 and b = 2. Since it can be represented as a straight line, it is classified as linear.

Is the function linear or nonlinear?
y = -x

• Linear

• Nonlinear

Answer explanation

The function y = -x is linear because it can be expressed in the form y = mx + b, where m = -1 and b = 0. It represents a straight line with a slope of -1, confirming it is a linear function.

Is the function linear or nonlinear?
y = 3x² - 4x + 2

• Linear

• Nonlinear

Answer explanation

The function y = 3x² - 4x + 2 includes a squared term (3x²), which makes it nonlinear. Linear functions have the form y = mx + b, where the highest exponent of x is 1. Thus, the correct choice is Nonlinear.

Is the function linear or nonlinear?
y = 2x³ + 1

• Linear

• Nonlinear

Answer explanation

The function y = 2x^3 + 1 is nonlinear because it contains a term with x raised to a power greater than 1 (the cubic term). Linear functions have a constant rate of change and are represented by equations of the form y = mx + b.

Is the function Linear or Nonlinear?

• Linear

• Nonlinear

Answer explanation

The function is Nonlinear because it does not satisfy the properties of linearity, such as additivity and homogeneity. Nonlinear functions can exhibit curves or other complex behaviors, distinguishing them from linear functions.