Understanding Linear Functions and Graphs

The video tutorial explains how to identify linear functions by analyzing their characteristics. It covers the basics of linear functions, common mistakes in identifying slope and y-intercept, and the relationship between polynomials and linear functions. The tutorial also distinguishes linear functions from other polynomial functions and explains the slope-intercept form and constant rate of change. Finally, it summarizes the key points on identifying linear functions.

What is the slope in the equation y = 3x + 4?

• 3

• 4

• 7

• 8

Which of the following is a characteristic of linear functions?

• They are not polynomials

• They have a constant rate of change

• They form a parabolic curve

• They have a variable rate of change

What distinguishes linear functions from quadratic functions?

• Quadratic functions are linear

• Linear functions have a constant rate of change

• Linear functions are not polynomials

• Quadratic functions have a constant rate of change

How can you determine the y-intercept from a table of values?

• Look for the x-value when y is 0

• Find the largest y-value

• Look for the y-value when x is 0

• Calculate the average of y-values

What is the constant rate of change in the equation y = 3x + 4?

• 8

• 7

• 4

• 3