Defining Linear Functions by Comparing Graphs

The video tutorial explains the concept of functions, focusing on linear functions and their properties. It covers how to plot points on a coordinate plane, the characteristics of linear functions, and how to distinguish them from nonlinear functions. The tutorial includes practical examples to help identify whether a function is linear or nonlinear by plotting points and analyzing graphs.

What is the output when the input is 5 in the function y = 3x?

• 10

• 20

• 15

• 5

When plotting the point (1, -3), which direction do you move first?

• Right

• Left

• Down

• Up

What characteristic do all linear functions share?

• They form a curve

• They are straight lines

• They are always vertical

• They are always horizontal

Why are vertical lines not considered functions?

• They are always horizontal

• They are not straight

• They have no outputs

• They have multiple outputs for a single input

Which of the following is a characteristic of nonlinear functions?

• They are always vertical

• They can be bent or curved

• They have no curves

• They form straight lines