Mastering Adding and Subtracting Rational Expressions

The video tutorial explains how to identify linear and nonlinear functions using graphs, equations, and tables. It defines linear functions as those that create a straight line with a constant slope, while nonlinear functions do not form a straight line and often have curves. The video provides examples and exercises for identifying these functions using different methods, including the slope-intercept form for equations and calculating slope for tables. The tutorial concludes with a brief joke.

What is a key characteristic of a linear function?

• It forms a curve on a graph.

• It cannot be represented on a graph.

• It has a constant slope.

• It has varying slopes.

Which of the following is true about nonlinear functions?

• They are often graphed with a curve.

• They can be written in y = mx + b form.

• They always form a straight line.

• They have a constant slope.

Why is the function in example 1 considered nonlinear?

• It can be written in y = mx + b form.

• It has a curve.

• It has a constant slope.

• It forms a straight line.

What form must an equation be in to be considered linear?

• y = mx^2 + b

• y = mx + b

• y = m/x + b

• y = mx^3 + b

Which of the following equations represents a linear function?

• y = 3^x

• y = x^2 + 3

• y = -2x - 5

• y = 10/x

Why is the equation y = 10/x considered nonlinear?

• It forms a straight line.

• It is in y = mx + b form.

• It has a constant slope.

• The x is in the denominator.

What is the slope of a linear function in a table if the change in y is 3 and the change in x is 1?

• 1

• 3

• 1/3

• 3/1

How can you identify a nonlinear function using a table?

• The table forms a straight line.

• The change in y and x is not constant.

• The table has equal intervals.

• The change in y and x is constant.

What is the slope of the function in the table if the change in y is -1 and the change in x is 4?

• -4

• 4

• 1/4

• -1/4

What did the Buffalo say to his son as he dropped him off for school?

• See you later!

• Have a great day!

• Goodbye!

• Bye son