Graphing Reciprocal Functions

Front

What is the equation of a basic reciprocal function?

Back

y = 1/x

Front

What transformation occurs when the function y = 1/x is shifted up by 2 units?

Back

y = 1/x + 2

Front

What is the horizontal asymptote of the function y = 1/x?

Back

y = 0

Front

What is an asymptote?

Back

An imaginary line that your function never touches.

Front

What happens to the graph of y = 1/x as x approaches infinity?

Back

The graph approaches the horizontal asymptote y = 0.

Front

What is the vertical asymptote of the function y = 1/(x - 2)?

Back

x = 2

Front

How does the graph of y = 1/x change when it is reflected over the x-axis?

Back

The new function is y = -1/x.

Front

What is the effect of adding a constant to the reciprocal function, such as y = 1/x + 3?

Back

It shifts the graph up by 3 units.

Front

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

Back

All real numbers except x = 0.

Front

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

Back

All real numbers except y = 0.