Comparing Linear Functions in Various Forms

The video tutorial explores the properties of linear functions presented in different forms: graph, table, equation, and description. It guides viewers through determining the steepest function by comparing slopes, identifying functions with y-intercepts greater than -3, and finding the y-intercept farthest from zero. The tutorial emphasizes understanding slopes and y-intercepts in various representations to answer related questions effectively.

What is the primary characteristic of a linear function?

• It forms a straight line

• It has a variable exponent

• It cannot have negative values

• It curves at the origin

How do you calculate the slope from a graph?

• Divide change in x by change in y

• Multiply rise by run

• Add rise to run

• Divide rise by run

What does a slope of -2 indicate about a line's direction?

• It is vertical

• It falls to the right

• It rises to the right

• It is horizontal

Which form immediately shows the slope of a linear function?

• Graph

• Description

• Table

• Equation

What is the slope of a line described as y = mx + b?

• m

• y

• b

• x

Which function has the steepest graph?

• Function with slope -2

• Function with slope 1

• Function with slope 3

• Function with slope -4

Which functions have y-intercepts greater than -3?

• Function 1, 3, and 4

• Only Function 2

• Function 1 and 2

• All functions

What does a y-intercept of 5 indicate?

• Has a slope of 5

• Crosses the y-axis at 5

• Is 5 units from the origin

• Crosses the x-axis at 5

Which function's y-intercept is farthest from zero?

• Function with y-intercept -2

• Function with y-intercept 1

• Function with y-intercept -5

• Function with y-intercept 3

How do you determine which y-intercept is farthest from zero?

• Choose the lowest negative value

• Select the value closest to zero

• Choose the highest positive value

• Calculate the absolute value and compare