Graphing Absolute Value Functions

The video tutorial covers the topic of graphing absolute value functions, focusing on plotting points, identifying the vertex, and understanding the domain and range. It includes examples and exercises to help students grasp the concept of graphing these functions, with a particular emphasis on the characteristics of the graph, such as the V-shape and the vertex as the highest or lowest point. The tutorial also touches on the effects of manipulating the function and provides guidance on completing exercises independently.

What is the main focus of the lesson in section 4.3?

• Solving quadratic equations

• Solving linear equations

• Factoring polynomials

• Graphing absolute value functions

Which standard involves identifying the effect on the graph by replacing f(x) with f(x) + k?

• FBFB2

• FIFC6

• FIFC7

• FBFB3

What is the output when the input is -3 for the function f(x) = |x|?

• 1

• -3

• 3

• 0

What shape does the graph of an absolute value function typically form?

• A circle

• A V shape

• A parabola

• A straight line

What is the vertex of the function f(x) = |x|?

• (1,1)

• (-1,-1)

• (2,2)

• (0,0)

What is the domain of the function f(x) = |x|?

• All real numbers

• x > 0

• x ≤ 0

• x ≥ 0

What is the range of the function f(x) = |x|?

• y ≥ 0

• y ≤ 0

• All real numbers

• y > 0

When graphing the function f(x) = |x - 4| + 2, what is the vertex?

• (-4,-2)

• (2,4)

• (0,0)

• (4,2)

How do you determine the vertex of an absolute value function?

• By finding the highest point on the graph

• By finding the lowest point on the graph

• By finding the point where the graph changes direction

• All of the above

What should you do if you have questions or concerns while working on the problems?

• Ignore the problem

• Send a message to the teacher

• Guess the answer

• Skip the problem