Understanding Absolute Value Functions

The video tutorial introduces absolute value functions, focusing on their key features, such as domain, range, and axis of symmetry. It explains the parent function f(x) = |x|, how to create a parent table, and graph the function. The tutorial also covers identifying intercepts and extrema, and evaluating expressions using absolute values with GEMDAS.

What is the first topic discussed in the new unit on absolute value functions?

• Graphing techniques

• Key features of absolute value functions

• Solving equations

• Applications in real life

What does the parent function f(x) = |x| represent?

• A cubic function

• A quadratic function

• A linear function

• An absolute value function

How is absolute value defined?

• The difference between a number and zero

• The sum of a number and zero

• The distance a number is from zero

• The product of a number and zero

What is the absolute value of -7?

• 14

• 7

• 0

• -7

What is the purpose of creating a parent table?

• To solve equations

• To find input and output values for graphing

• To determine the range

• To identify intercepts

Which values are typically chosen for input when creating a parent table?

• A mix of negative, zero, and positive numbers

• Only zero

• Only negative numbers

• Only positive numbers

What is the next step after creating a parent table?

• Calculating the range

• Solving the function

• Plotting the points on a graph

• Finding the domain

What is the domain of the absolute value function?

• From negative infinity to zero

• From negative infinity to positive infinity

• From zero to positive infinity

• From zero to infinity

What is the range of the absolute value function?

• From negative infinity to positive infinity

• From zero to positive infinity

• From zero to infinity

• From negative infinity to zero

What is the axis of symmetry for the absolute value function?

• x = y

• y = 0

• x = 0

• y = x