Understanding Linear Functions Concepts

The video tutorial focuses on identifying and understanding linear functions. It covers the basics of graphing linear functions, introduces function notation, and explains different forms of linear equations such as slope-intercept, point-slope, and standard form. The tutorial also teaches how to identify linear functions using tables by checking for a constant rate of change. Key features of graphs, including y-intercepts, x-intercepts, and slope, are discussed. The video concludes with plotting points and analyzing graph features.

What is the primary focus of the unit discussed in the video?

• Identifying polynomial functions

• Identifying exponential functions

• Identifying linear functions

• Identifying quadratic functions

What does the graph of a linear function typically look like?

• A zigzag line

• A curved line

• A straight line

• A dotted line

What is the parent function of a linear equation?

• y = x + 1

• y = 2x

• y = x

• y = x^2

Which form of linear equation is represented by y = mx + b?

• Standard form

• Slope-intercept form

• Point-slope form

• Quadratic form

What is the standard form of a linear equation?

• y - y1 = m(x - x1)

• y = mx + b

• y = a(x - h)^2 + k

• ax + by = c

How can you determine if a table represents a linear function?

• By checking if the last row has a different rate of change

• By checking if the first row has a different rate of change

• By checking if any row has a different rate of change

• By checking if all rows have the same rate of change

Which keywords indicate a constant rate in a linear function?

• Per, each, for one, every

• Always, never, sometimes, often

• Sometimes, maybe, often, rarely

• Quickly, slowly, rapidly, gradually

What is the y-intercept of a graph?

• Where the line crosses the origin

• Where the line crosses the z-axis

• Where the line crosses the y-axis

• Where the line crosses the x-axis

What is the x-intercept of a graph also known as?

• The zero

• The slope

• The y-intercept

• The origin

How is the slope of a line calculated?

• Difference of x and y

• Sum of x and y

• Rise over run

• Run over rise