Understanding Linear Functions and Graphs

This video tutorial introduces the concept of linear functions, explaining that a linear function is one whose graph is a straight line. It discusses the characteristics of linear functions, such as increasing, decreasing, or constant lines, and contrasts them with non-linear functions, which have graphs that are not straight lines. The tutorial provides examples to help identify linear and non-linear functions and concludes with a reference to further learning resources.

What is a linear function?

• A function whose graph is a circle

• A function whose graph is a line

• A function with no graph

• A function whose graph is a curve

Which part of the word 'linear' indicates its graphical representation?

• The first two letters

• The last two letters

• The first four letters

• The middle two letters

What does a constant linear graph look like?

• A horizontal line

• A vertical line

• A curved line

• A diagonal line

What does a decreasing linear graph indicate?

• The line goes upwards

• The line goes downwards

• The line forms a loop

• The line stays constant

How can you identify a non-linear function from its graph?

• The graph is a point

• The graph has curvature

• The graph is a circle

• The graph is a straight line

Which of these graphs represents a non-linear function?

• A horizontal line

• A vertical line

• A straight line

• A curved line

What is the shape of a graph that is not a linear function?

• A curved line

• A horizontal line

• A vertical line

• A straight line

What is a key characteristic of a linear function's graph?

• It is always a straight line

• It is always a zigzag

• It is always a curve

• It is always a point

What is the main difference between linear and non-linear functions?

• Non-linear functions have graphs that are lines, linear do not

• Linear functions have graphs that are lines, non-linear do not

• Neither have graphs that are lines

• Both have graphs that are lines

Which of the following is true about a linear function's graph?

• It can be a dotted line

• It can be a zigzag line

• It can be a straight line

• It can be a wavy line