Key Features of Functions: An In-Depth Review

This video is a review of Algebra 2, Lesson 7, focusing on key features of functions. It covers evaluating piecewise linear functions, identifying zeros, understanding intervals of increase, and discussing relative maxima and minima. The instructor provides examples and encourages viewer interaction and feedback.

What is the main topic of the lesson?

• Statistics

• Calculus

• Key features of functions

• Trigonometry

What is the value of f(4) in the given piecewise linear function?

• 0

• 4

• 1

• 3

What is the value of f(-3) in the given piecewise linear function?

• -3

• 0

• 3

• -5

What are the zeros of the function?

• x = 0 and x = 3

• x = -1 and x = 1

• x = -5 and x = 2

• x = -3 and x = 4

Where does the graph of the function intersect the x-axis?

• At x = -5 and x = 2

• At x = -3 and x = 4

• At x = 0 and x = 3

• At x = -1 and x = 1

In which interval is the function always increasing?

• From x = -7 to x = -3

• From x = -3 to x = 5

• From x = -5 to x = 3

• From x = -5 to x = 5

What does it mean for a function to be increasing?

• The y-value decreases as the x-value decreases

• The y-value increases as the x-value increases

• The y-value remains constant as the x-value increases

• The y-value decreases as the x-value increases

What is a relative maximum point?

• The highest point of the entire graph

• The lowest point of the entire graph

• A point where the function changes direction from increasing to decreasing

• A point where the function changes direction from decreasing to increasing

What is a relative minimum point?

• A point where the function changes direction from decreasing to increasing

• A point where the function changes direction from increasing to decreasing

• The highest point of the entire graph

• The lowest point of the entire graph

Which of the following is a relative maximum point in the given function?

• (7, 1)

• (-3, 5)

• (-7, 5)

• (5, -3)