Exploring Linear Functions and Their Features

The video tutorial covers linear functions, focusing on the coordinate plane, intercepts, slope, and types of lines. It explains y-intercepts and x-intercepts, the concept of slope as rise over run, and the rate of change. The tutorial also discusses horizontal and vertical lines, including their slopes, and concludes with an explanation of domain and range for different types of lines.

What is the y-intercept of a line that crosses the y-axis at the point (0, 2)?

• (2, -2)

• (0, 2)

• (2, 0)

• (0, -2)

What is the x-intercept of a line that crosses the x-axis at the point (-1, 0)?

• (0, -1)

• (0, 1)

• (-1, 0)

• (1, 0)

If a line rises 2 units and runs 1 unit, what is its slope?

• 0

• -2

• 1/2

• 2

What is the slope of a line that does not rise but runs horizontally?

• Undefined

• -1

• 0

• 1

What type of slope does a horizontal line have?

• Positive

• Negative

• Zero

• Undefined

What is the slope of a vertical line?

• Zero

• Undefined

• Negative

• Positive

What is the domain of a function that extends infinitely in the horizontal direction?

• Only positive numbers

• All real numbers

• Only negative numbers

• No real numbers

What is the range of a horizontal line at y = 2?

• x = 2

• y = 2

• No real numbers

• All real numbers

For a vertical line at x = -2, what is the domain?

• No real numbers

• All real numbers

• y = -2

• x = -2

For a vertical line, what is the range?

• All real numbers

• No real numbers

• Only positive numbers

• Only negative numbers