Reciprocal Graphs: Understanding the Basics

What is the reciprocal of the number 7?

• 7/1

• 1/7

• 7

• 0

If y = 1/x, what happens to the value of y as x increases?

• y increases

• y decreases

• y remains constant

• y becomes zero

What is an asymptote in the context of reciprocal graphs?

• A point where the graph intersects the y-axis

• A point where the graph intersects the x-axis

• A line that the graph approaches but never touches

• A line that the graph crosses

In which quadrants does the graph of y = -1/x lie?

• Top right and bottom left

• Top left and bottom right

• Bottom left and bottom right

• Top right and top left

How does increasing the numerator 'a' in the equation y = a/x affect the graph?

• The graph moves further from the origin

• The graph moves closer to the origin

• The graph becomes a straight line

• The graph remains unchanged

What is the general form of a reciprocal graph?

• y = x/a

• y = a/x

• y = x/a + b

• y = a/x + b

If y = 1/x, what is the y-coordinate when x = 4?

• 4

• 1/4

• 1

• 0