Identifying Linear vs Non-Linear Functions

The video tutorial covers the basics of functions, focusing on how to identify and evaluate them. It explains the characteristics of linear functions, such as having a constant slope and an exponent of one. The tutorial provides examples to distinguish between linear and nonlinear functions, using both equations and graphs. It also demonstrates how to analyze tables to determine linearity by calculating the rate of change.

What is the primary focus of the initial discussion in the video?

• How to graph functions

• How to identify and evaluate functions

• How to find the domain of a function

• How to solve equations

Which of the following is a characteristic of a linear function?

• It has an exponent of 2

• It includes square roots

• It is represented by a straight line

• It has variables multiplied together

Which operation is NOT found in a linear function?

• Subtraction

• Multiplication of variables

• Division by a constant

• Addition

What makes a function nonlinear?

• Having a constant slope

• Including square roots

• Being a straight line

• Having an exponent of 1

Which of the following equations represents a linear function?

• y = 2x^2 + 3

• y = 4 + x

• y = sqrt(x) + 1

• y = 1/x + 2

How can you identify a linear function from a graph?

• It has an exponent of 2

• It forms a curve

• It has a constant slope

• It includes absolute values

Which graph represents a nonlinear function?

• A curve

• A straight line

• A vertical line

• A horizontal line

What is the rate of change in a linear function?

• It is undefined

• It is zero

• It is constant

• It varies

In a table, how do you determine if a function is linear?

• By looking for exponents greater than 1

• By checking if the change in y over change in x is constant

• By looking for square roots

• By checking if the variables are multiplied

If the change in y over change in x is not constant in a table, what does it indicate?

• The function is linear

• The function is nonlinear

• The function is undefined

• The function is rational