Learn how to evaluate the left, right and general limit from a piecewise function

The video tutorial covers piecewise functions, focusing on graphing absolute value and linear functions with constraints. It explains how to evaluate limits and the behavior of functions as they approach infinity. The tutorial emphasizes the importance of understanding graphing techniques from Algebra 1 and 2, and encourages using graphing calculators for verification.

What shape does the graph of the absolute value function typically have?

• A straight line

• A V shape

• A U shape

• A circle

In a piecewise function, when is the absolute value function valid?

• For X equal to zero

• For all values of X

• For X less than zero

• For X greater than zero

What is the Y-intercept of the line X + 1?

• 0

• 1

• X + 1

• X

What happens to the piecewise function as X approaches infinity?

• It remains constant

• It goes to infinity

• It goes to negative infinity

• It approaches zero

Why does the limit not exist as X approaches zero from the left and right?

• Because the function is undefined

• Because the values are the same

• Because the function is constant

• Because the values are different