Reciprocal Functions and Their Graphs

The video tutorial explains reciprocal graphs, focusing on the basic form y = 1/x. It covers how to draw the graph, its symmetry properties, and how to verify it using a table of values. Special cases, such as when x = 0, are discussed, along with variations when the numerator changes. The tutorial concludes with a summary of key points.

What is the general form of a reciprocal graph?

• y = x/a

• y = a/x

• y = a + x

• y = ax

Which of the following is the most common reciprocal graph?

• y = 1/x

• y = x

• y = 2/x

• y = x/2

How is the graph of y = 1/x typically drawn?

• As two separate curves

• As a circle

• As a straight line

• As a single curve

What line is the graph of y = 1/x symmetrical to?

• y = 2x

• y = x + 1

• y = 0

• y = x

What is the symmetry line for the graph of y = 1/x?

• y = 0

• y = x

• y = 2x

• y = x + 1

How can you verify if a graph is y = 1/x?

• By making a table of x and y values

• By checking the color

• By counting the number of curves

• By measuring the length

What happens to y when x = 0 in the graph of y = 1/x?

• y becomes 0

• y becomes 1

• y becomes infinity

• y becomes negative

Why doesn't the curve of y = 1/x cross the y-axis?

• Because it is a circle

• Because it is a straight line

• Because it would cross at infinity

• Because it is a parabola

What is the y-value when x = 2 in the graph of y = 1/x?

• 1

• 2

• 0

• 0.5

What happens to the graph of y = 1/x when x is negative?

• It moves to the top left

• It moves to the bottom left

• It moves to the top right

• It moves to the bottom right