The video tutorial explains piecewise functions, highlighting that they consist of multiple functions with different rules applied based on input values. It clarifies the concept by demonstrating how to choose the correct rule depending on whether the input is less than, greater than, or equal to a certain value. The tutorial includes examples to illustrate the application of these rules, showing calculations for different inputs and explaining the results.

What is the primary characteristic of a piecewise function?

• It uses multiple rules based on the input value.

• It has only one rule for all inputs.

• It is not considered a function.

• It does not have any output.

When do you use a specific rule in a piecewise function?

• When the input meets the condition specified by the rule.

• When the input is a negative number.

• When the input is a positive number.

• When the input is zero.

If the input is less than one, which rule should be applied in a piecewise function?

• The rule for inputs greater than one.

• The rule for inputs less than one.

• The rule for inputs equal to one.

• The rule for inputs not equal to one.

What is the result of evaluating the piecewise function at input -2?

• 1/2

• 3/2

• 6

• 0

How is the piecewise function evaluated at input 1?

• By using both rules simultaneously.

• By using the rule for inputs less than one.

• By not using any rule.

• By using the rule for inputs greater than or equal to one.