Absolute Values: Defining, Calculating, and Graphing

The video tutorial covers the concept of absolute values, explaining their definition as the distance from zero on a number line. It discusses the properties of absolute values, including how they apply to multiplication and division but not addition. The tutorial also demonstrates solving equations involving absolute values, showing how to handle both positive and negative solutions. Finally, it explores graphing absolute value functions, highlighting the transformation of negative inputs into positive outputs, resulting in a V-shaped graph.

What is the absolute value of a number primarily defined as?

• The square of the number

• The negative of the number

• The distance from zero on a number line

• The number itself

When solving the equation |x| = 2, what are the possible values of x?

• Only -2

• 2 and -2

• 0 and 2

• Only 2

How do you solve the equation |2x - 1| = 5?

• By setting 2x - 1 equal to 5 and -5

• By setting 2x - 1 equal to 0

• By setting 2x equal to 5

• By setting x equal to 5

What happens to the graph of y = |x| compared to y = x?

• It shifts upwards

• It reflects negative x-values across the x-axis

• It remains unchanged

• It becomes a horizontal line

What shape does the graph of y = |x| form?

• A circle

• A straight line

• A parabola

• A V shape