How to Evaluate a piecewise function

The video tutorial explains how to evaluate piecewise functions by considering the constraints of each function within the piecewise definition. It demonstrates the process using two examples: evaluating the function for a negative value and for zero. The key is to identify which function to use based on the given constraints and then substitute the value into the appropriate function to find the result.

What is a key characteristic of a piecewise function?

• It does not have any constraints.

• It has only one function.

• It consists of multiple functions with constraints.

• It is always linear.

When evaluating F(-1) in a piecewise function, which condition is used?

• X is equal to 0.

• X is greater than 0.

• X is less than 0.

• X is greater than or equal to 0.

What is the result of evaluating F(-1) in the given piecewise function?

• -1

• 0

• 1

• 2

Which function is used when evaluating F(0) in the piecewise function?

• The function for X less than 0.

• The function for X less than or equal to 0.

• The function for X greater than 0.

• The function for X equal to 0 or greater.

What is the result of evaluating F(0) in the given piecewise function?

• 1

• 2

• 3

• 0