Characteristics of Linear Functions

The video tutorial explains linear functions, focusing on their graphical representation. A linear function is characterized by a constant slope, resulting in a straight line on a graph. The tutorial emphasizes that the slope can be positive, negative, steep, or shallow, but must remain constant for the function to be linear. It contrasts this with non-linear functions, where the slope varies, leading to curves on the graph. The video concludes by reiterating that any function with a straight line is linear, regardless of the slope's steepness or direction.

What is the key feature of a linear function when represented on a graph?

• It forms a curve.

• It has a constant slope.

• It has a variable slope.

• It forms a circle.

Which of the following represents a linear function?

• A circle with a constant radius.

• A line with a changing slope.

• A line with a constant slope.

• A curve with a constant slope.

What remains unchanged in a linear function?

• The color of the line.

• The slope of the line.

• The length of the line.

• The width of the line.

How does a non-linear function differ from a linear function?

• It forms a straight line.

• It has a constant slope.

• It has a variable slope.

• It forms a triangle.

What happens to the rate of change in a non-linear function?

• It forms a straight line.

• It decreases steadily.

• It varies.

• It remains constant.

Which of the following is NOT a characteristic of a linear function?

• Constant slope.

• Consistent rate of change.

• Straight line.

• Variable slope.

What is the defining feature of a linear function?

• It forms a zigzag pattern.

• It has a variable slope.

• It has a straight line.

• It forms a curve.

In which scenario is a function considered non-linear?

• When the rate of change is consistent.

• When the slope changes.

• When the slope is constant.

• When the line is straight.

What can be said about the slope of a linear function?

• It is always negative.

• It is constant.

• It is always positive.

• It is always zero.