Reciprocal Functions and Transformations Quiz

What is a characteristic of a discontinuous function?

• It is always decreasing.

• It has one or more gaps or breaks.

• It is always increasing.

• It has no gaps or breaks.

What happens when the denominator of a rational function equals zero?

• The function is linear.

• The function is continuous.

• The function is undefined.

• The function is quadratic.

What is the domain of the parent reciprocal function 1/x?

• All real numbers

• All positive numbers

• All real numbers except x = 0

• All negative numbers

How does a negative 'a' value affect the graph of a reciprocal function?

• It shifts the graph up.

• It flips the graph across the y-axis.

• It shifts the graph down.

• It flips the graph across the x-axis.

What does the 'k' value represent in the transformation of a reciprocal function?

• Vertical shift

• Horizontal shift

• Reflection across the x-axis

• Vertical stretch or compression

In the transformation y = 1/(x - 2) - 1, what is the vertical asymptote?

• y = 0

• y = -1

• x = 2

• x = 0

In the transformation y = 1/(x - 2) - 1, what is the horizontal asymptote?

• y = -1

• y = 0

• x = 2

• x = 0

What is the effect of a negative sign in front of a reciprocal function?

• It reflects the graph across the x-axis.

• It shifts the graph to the left.

• It reflects the graph across the y-axis.

• It shifts the graph to the right.

What is the range of the function y = 1/x?

• All negative numbers

• All positive numbers

• All real numbers

• All real numbers except y = 0

In the transformation y = 4/(x + 3) - 5, what is the horizontal asymptote?

• y = -5

• x = -3

• y = 0

• x = 3