Exploring Linear and Non-Linear Concepts

Miss Doolittle explains how to identify linear and nonlinear functions using tables, graphs, and equations. She provides a checklist for determining linearity, emphasizing constant rates of change in tables, straight lines in graphs, and specific conditions in equations. The video covers how to recognize nonlinear functions by identifying inconsistencies in these areas.

What are the three methods to determine if a function is linear or nonlinear?

• Table, Graph, and Equation

• Table, Graph, and Chart

• Graph, Equation, and Diagram

• Equation, Chart, and Diagram

What indicates a linear function in a table?

• Variable changes in y values

• Constant changes in x and y values

• Variable changes in x values

• Constant changes in y values only

If the y-values change by +2 consistently and x-values change by +1 consistently, what type of function is it?

• Quadratic

• Nonlinear

• Exponential

• Linear

What type of graph represents a linear function?

• Straight line

• Curved line

• Dotted line

• Zigzag line

Which of the following graphs is nonlinear?

• A graph with a vertical line

• A graph with a straight line

• A graph with a curved line

• A graph with a horizontal line

What is a key characteristic of a nonlinear graph?

• Vertical lines

• Horizontal lines

• Straight lines

• Curved lines or inconsistent straight lines

What exponent do x and y need to have for a function to be linear?

• 1

• 2

• 0

• 3

Which of the following makes a function nonlinear?

• x and y are multiplied together

• x and y are added together

• x and y are subtracted

• x and y are divided

Where should x and y not appear for a function to be linear?

• In the subtraction sign

• In the addition sign

• In the numerator

• In the denominator, as exponents, or in a radical sign

Which of the following is a nonlinear function?

• x - y = 2

• x^2 + y = 0

• x + y = 1

• 2x + 3y = 5