Identifying Linear vs Nonlinear Functions

The video tutorial explores the differences between linear and non-linear equations. It begins with an introduction to the topic, followed by a detailed discussion on the characteristics of linear equations, such as having a variable with a power of one and being represented in the form y = mx + b. The tutorial then demonstrates graphing both linear and non-linear equations using examples, highlighting the differences in their graphical representations. The session concludes with an exploration of non-linear equations, emphasizing the importance of the variable's power in determining linearity.

What is the maximum power of the variable in a linear equation?

• 0

• 1

• 2

• 3

Which of the following is a characteristic of linear equations?

• They have a variable with a power greater than 1.

• They are always written in the form y = mx + b.

• Their graphs are straight lines.

• They can have variables with negative powers.

Which form is a variation of the linear equation y = mx + b?

• y = mx^3 + b

• y = mx + b^2

• ax + by = c

• y = mx^2 + b

What tool is used in the video to graph equations?

• Desmos

• GeoGebra

• GraphCalc

• WolframAlpha

What is the graphical representation of the equation y = 2x + 1?

• A straight line

• A circle

• A hyperbola

• A parabola

What is the shape of the graph for the equation y = 2x^2 + 1?

• A straight line

• A hyperbola

• A circle

• A parabola

Which equation represents a non-linear graph?

• y = 3x + 2

• y = 2x^3 + 1

• y = -x + 1

• y = 4x - 1

What is the power of the variable in the equation y = 4x^-1?

• -1

• 2

• 0

• 1

Why is the equation y = 5/x considered non-linear?

• Because it has a variable with a power of 1.

• Because it is written in slope-intercept form.

• Because it has a constant term.

• Because the variable is in the denominator.

How can you tell if an equation is linear or non-linear?

• By checking if the equation has a constant term.

• By checking if the variable is in the denominator.

• By checking if the equation is written in slope-intercept form.

• By checking if the variable has a power of 1.