Key Features of Functions: An In-Depth Exploration

This video lesson by Kirk Weiler from eMathInstruction covers key features of functions in Common Core Algebra 2. It begins with an introduction to function terminology, followed by a detailed analysis of a graphed function, including identifying y-intercepts, x-intercepts, zeros, and intervals of increase and decrease. The lesson then moves to graphing a new function using a calculator and analyzing its features. The video concludes with a discussion on continuous functions and a summary of the key concepts covered.

What is the main focus of this lesson?

• Graphing linear equations

• Key features of functions

• Properties of logarithms

• Solving quadratic equations

Where does the function cross the y-axis?

• At y = 2

• At y = 0

• At y = -2

• At y = 4

What are the x-intercepts of the function?

• x = -2 and x = 2

• x = -1 and x = 1

• x = -6 and x = 4

• x = -4 and x = 6

Over the interval -1 < x < 2, is the function increasing or decreasing?

• Increasing

• Decreasing

• Constant

• Undefined

What is the interval over which f(x) is greater than 0?

• (-1, 1)

• (-4, 6)

• (-2, 2)

• (-6, 4)

What is the absolute minimum value of the function?

• -2

• -8

• -6

• -4

What is the domain of the function?

• [-4, 4]

• [-6, 8]

• [-8, 6]

• [-2, 2]

What is the y-intercept of the function G(x) = 2|x - 1| - 8?

• -8

• -6

• -4

• -2

What are the zeros of the function G(x) on the interval [-4, 7]?

• x = -3 and x = 5

• x = 0 and x = 2

• x = -2 and x = 4

• x = -1 and x = 3

What does it mean for a function to be continuous?

• It is always increasing

• It has a constant slope

• It has no breaks, gaps, or holes

• It is always decreasing