How to determine the global max and min from a piecewise function

The video tutorial explains how to graph the function X^2 + 1, highlighting that there are no restrictions on the interval except that X cannot equal 0. The graph is shifted up by one unit and features an open circle, indicating that the graph never actually reaches the value of 1. The tutorial discusses the absence of a minimum value due to the open circle and the lack of a maximum value as the graph continues to rise indefinitely.

What is the main characteristic of the graph of X^2 + 1 at X = 0?

• It reaches a maximum value.

• It has an open circle.

• It has a closed circle.

• It reaches a minimum value.

Why does the function X^2 + 1 not have a minimum value?

• Because the graph is a straight line.

• Because the graph has an open circle at X = 0.

• Because the graph has a closed interval.

• Because the graph reaches a maximum value.

What is the value of the function X^2 + 1 at X = 0?

• 1

• 0

• 2

• It is undefined.

What happens to the graph of X^2 + 1 as X increases?

• It forms a closed loop.

• It continues to rise indefinitely.

• It starts to decrease.

• It reaches a maximum value.

Which of the following statements is true about the graph of X^2 + 1?

• It is a horizontal line.

• It has a minimum value.

• It has a maximum value.

• It has neither a maximum nor a minimum value.