Evaluating Piecewise Functions: Key Concepts and Examples

The video tutorial explains how to evaluate piecewise functions and step functions. It begins with evaluating f(-10) using a piecewise function, followed by evaluating h(-3) in another piecewise function. The tutorial concludes with analyzing a step function g(x) using a graph, focusing on understanding the function's behavior at specific points.

Which case do we use to evaluate f(-10)?

• t = 0

• t > -10

• t = -10

• t < -10

What is the value of f(-10)?

• 50

• 100

• 150

• 200

Which case do we use to evaluate h(-3)?

• x > 3

• x = 0

• x > 0

• x < 0

What is the value of h(-3)?

• 9

• 27

• -9

• -27

What is the value of g(-3.0001)?

• 7

• -3

• 0

• 3

What is the value of g(3.99999)?

• 3

• 7

• -3

• 0

What happens to g(x) just after x=4?

• It increases to 10

• It becomes undefined

• It drops to -3

• It remains 7

What is the value of g(4.00001)?

• 3

• 7

• 0

• -3

What is the value of g(9)?

• Undefined

• -3

• 3

• 7

Why is g(9) undefined?

• Because there is no filled-in circle at x=9

• Because the function is continuous

• Because x=9 is not in the domain

• Because the function is linear