Graph a Piece Wise Function With the Reciprocal and Square Root

The video tutorial explains how to graph the functions 1/X and the square root function, focusing on specific constraints for each. It covers graphing 1/X for X values less than zero and the square root function for X values greater than or equal to zero. The tutorial also discusses the domain and range of these functions, emphasizing the concept of infinity and discontinuity.

What is the general shape of the graph for the function 1/X?

• A hyperbola

• A straight line

• A parabola

• A circle

When graphing 1/X, which part of the graph is considered when X is less than zero?

• The right side of the Y-axis

• The left side of the Y-axis

• The top half of the graph

• The bottom half of the graph

For the square root function, what type of point is used at X equals zero?

• An open point

• A closed point

• A highlighted point

• A dashed point

What is the domain of the function that includes both 1/X and the square root function?

• Zero to One

• Negative Infinity to Positive Infinity

• Zero to Positive Infinity

• Negative Infinity to Zero

What does the instructor mean by 'discontinuity' in the context of the graph?

• A break in the graph where the function is undefined

• A continuous line without breaks

• A point where the graph changes direction

• A section where the graph is linear