Evaluating a piecewise function with transformations

The video tutorial explains how to evaluate functions at specific points using domain knowledge and graphs. It covers evaluating F(0), F(1), and F(2) by identifying the correct function based on domain constraints. The instructor emphasizes common mistakes students make, often due to lack of attention or absence from class.

Which function should be used to evaluate f(0) based on the domain?

• The function with domain x = 0

• The function with domain x ≤ 0

• The function with domain x < 0

• The function with domain x > 0

What is the result of evaluating f(0) using the correct function?

• 2

• 1

• -1

• 0

For f(1), which domain condition is applicable?

• x < 1

• x > 1

• x ≤ 1

• x = 1

What is the value of f(1) when evaluated correctly?

• 0

• 1

• 2

• -1

When evaluating f(2), which domain condition should be used?

• x ≤ 2

• x = 2

• x > 1

• x < 2