Exploring Key Features of Linear Functions

The video tutorial covers key features of linear functions, including domain, range, x-intercepts, and y-intercepts. It explains how to determine if a function is increasing or decreasing based on its slope. The tutorial also demonstrates how to write equations in slope-intercept form and convert them to standard form. Example problems are provided to illustrate these concepts, and the importance of understanding domain and range for linear functions is emphasized.

What does the domain of a linear function represent?

• The set of all possible x-values

• The slope of the function

• The set of all possible y-values

• The y-intercept of the function

Where does the graph of a linear function intersect the y-axis?

• Where y is 0

• Where x is 0

• At the x-intercept

• At the slope

What indicates a linear function is increasing?

• A zero slope

• An undefined slope

• A positive slope

• A negative slope

What does a negative slope indicate about a linear function?

• It is increasing

• It is constant

• It is decreasing

• It is undefined

How do you find the slope from a graph?

• Add the x-intercept to the y-intercept

• Multiply the x-intercept by the y-intercept

• Divide the change in y by the change in x

• Divide the change in x by the change in y

How is the x-intercept of a linear function found?

• By setting y to 0 and solving for x

• By setting x to 0 and solving for y

• By identifying the y-intercept

• By finding the slope

How can the domain of a linear function be described?

• Only positive numbers

• Only negative numbers

• All real numbers

• Integers only

What is true about the range of all linear functions?

• It includes all real numbers

• It includes only positive numbers

• It is limited to the values shown on the graph

• It varies depending on the slope

What is the standard form of a linear equation?

• y = ax^2 + bx + c

• x = my + b

• ax + by = c

• y = mx + b

In which form is the equation x + 2y = 4 written?

• Standard form

• Vertex form

• Point-slope form

• Slope-intercept form