Comparing Linear Functions: Key Concepts and Techniques

This video tutorial covers lesson 2.8 on comparing linear functions. It guides students through writing equations for functions in different forms, identifying slopes and y-intercepts, and comparing functions based on these attributes. The lesson also includes creating verbal descriptions for functions and determining which function has the greatest value at a specific x-value. Finally, it explains how to find x and y intercepts of functions.

What is the main goal of lesson 2.8?

• To solve quadratic equations

• To compare linear functions in different forms

• To understand exponential growth

• To learn about polynomial functions

Which of the following is NOT a function notation mentioned in the lesson?

• h(x)

• j(x)

• f(x)

• k(x)

What is the slope of the function h(x) if the points are (0, -2) and (2, 6)?

• 2

• 5

• 3

• 4

What is the y-intercept of the function j(x) if the slope is 5 and one point is (0, 1)?

• 3

• 1

• 2

• 0

Which function has the highest slope among f(x), h(x), j(x), and g(x)?

• f(x)

• h(x)

• j(x)

• g(x)

What is the initial value of the function g(x)?

• 3

• 0

• -2

• 1

Which function has the greatest value when x is 15?

• g(x)

• h(x)

• f(x)

• j(x)

What is the value of j(x) when x is 15?

• 49

• 27

• 34

• 74

Which function has the smallest x-intercept?

• f(x)

• g(x)

• h(x)

• j(x)

Which function has the greatest y-intercept?

• j(x)

• g(x)

• h(x)

• f(x)