Characteristics of Linear Functions

The video tutorial covers five questions related to scientific notation, graphing points, line equations, identifying nonlinear functions, and using tables to determine linearity. Each section provides a detailed explanation of the concepts involved, including how to write numbers in scientific notation, graph points on a line, find the correct line equation, identify nonlinear functions, and use tables to check for linearity.

How is the area of the Atlantic Ocean written in scientific notation?

• 3.183 x 10^7

• 31.83 x 10^6

• 318.3 x 10^5

• 0.3183 x 10^8

What is the slope of the line represented by the equation X + 2?

• 2

• 1

• 0

• -1

If a line graph has a positive slope, what does it indicate about the graph's direction?

• The graph is vertical.

• The graph is going upwards.

• The graph is horizontal.

• The graph is going downwards.

What is the y-intercept of the equation y = 3x + 1?

• 0

• 1

• 3

• -1

In the equation y = mx + b, what does 'm' represent?

• The y-intercept

• The slope

• The x-intercept

• The constant term

Which of the following equations represents a nonlinear function?

• y = -x + 1

• y = x^2 - 4x

• y = 3x + 2

• y = 2x + 5

What is a key characteristic of a linear function?

• It has a variable slope.

• It has a constant slope.

• It forms a curve.

• It has an exponent greater than 1.

Which strategy can be used to determine if a set of points is linear?

• Ensure the differences in y-values are constant.

• Verify if the points form a triangle.

• Check if the points form a circle.

• Ensure the differences in x-values are constant.

What does a constant difference in y-values in a table indicate?

• The function is exponential.

• The function is quadratic.

• The function is nonlinear.

• The function is linear.

Which of the following is NOT a characteristic of a linear function?

• It has a constant rate of change.

• It forms a straight line.

• It has a variable rate of change.

• It can be represented by y = mx + b.