Evaluate the left, right and general limit of a piecewise function

The video tutorial covers graphing the exponential function E to the X and the absolute value function 3X, highlighting their properties and transformations. It explains piecewise functions and how to determine left and right hand limits graphically and algebraically. The tutorial emphasizes understanding limits without relying on calculators, using direct substitution to confirm graphical results.

What is the shape of the graph for the absolute value function of 3X?

• A U shape

• A V shape

• A circle

• A straight line

What is the horizontal asymptote of the function E to the X?

• x = 1

• y = 1

• y = 0

• x = 0

For which X values is the function E to the X valid in the piecewise function?

• X = 0

• X ≤ 0

• X > 0

• X < 0

What is the general limit of the piecewise function as X approaches zero?

• It is 1

• It does not exist

• It is infinite

• It is 0

How can you evaluate the limit of a function algebraically without a calculator?

• By using a graph

• By guessing the value

• By direct substitution

• By using a table of values