Evaluate piecewise function for different values

The video tutorial explains how to identify and apply domain restrictions for functions, focusing on values greater than zero. It demonstrates using the exponential function with a constant E and discusses handling undefined values, such as division by zero, using graphs to visualize asymptotes and holes.

What is the primary purpose of understanding domain restrictions in functions?

• To calculate the derivative of the function

• To find the maximum value of the function

• To identify the values of X that can be used

• To determine the range of the function

When evaluating the function for X > 0, what is the result of E to the power of 1 plus 1?

• 1 + E^2

• E^2

• 2E

• E + 1

Why is E considered an irrational constant?

• Because it is a negative number

• Because it is a whole number

• Because it cannot be expressed as a fraction

• Because it is a variable

What happens when you try to divide by zero in a function?

• The result is one

• The result is undefined

• The result is zero

• The result is infinity

What graphical feature indicates an undefined point in a function?

• An asymptote

• A valley

• A straight line

• A peak