Understanding Functions and Their Properties

The video tutorial covers the concept of functions, focusing on identifying functions by ensuring X values do not repeat. It explains how to derive the equation of a linear function in slope-intercept form using given points. The tutorial also discusses analyzing function behavior over specific intervals and solving advanced questions involving slope differences. The session concludes with a secret word for students to note, ensuring they watched the video entirely.

What is the key characteristic of a function regarding its x-values?

• X-values can repeat

• X-values must be positive

• X-values do not repeat

• X-values must be integers

Which of the following ordered pairs represents a function?

• (1, 2), (2, 3), (3, 4), (1, 5)

• (10, 2), (-1, 3), (10, 4)

• (0, 1), (3, 4), (-5, 6), (5, 7)

• (2, 3), (2, 5), (3, 6)

What is the slope of a line passing through the points (8, 9) and (2, 4)?

• -1/2

• 1/2

• -5/6

• 5/6

What is the y-intercept of the line with the equation y = -1/2x + b, passing through (2, 4)?

• 5

• 6

• 3

• 4

Between x = 4 and x = 6, what is true about the function?

• It is non-linear

• It is increasing and linear

• It is decreasing and linear

• It is constant

What is the slope of a line with the equation y = -5/4x - 1?

• 5/4

• 1

• -5/4

• -1

If a line passes through the point (12, -16) with a slope of -5/4, what is the y-intercept?

• -1

• 0

• 1

• 2

What is the slope of function A given by the equation y = 3/4x + 6?

• 3/4

• 4/3

• 1

• 6

What is the slope of function B if the table shows a change from (0, -10) to (3, 13.6)?

• 1.2

• 2.2

• 3.2

• 4.2

What is the difference between the slopes of function A and function B?

• 1.2

• 2.2

• 4.2

• 3.2