Step 1:

The rational function .

Graph the function .

The rational function graph is two or more parts.

Graph the function using asymptotes and some coordinate pairs.

Find the asymptotes.

Solve for the zeros of denominator.

is the vertical asymptote.

Since the degree of the numerator is less than the degree of the denominator, horizontal asymptote is .

Choose random values for and find the corresponding values for .

Graph:

Draw the coordinate plane.

Plot the asymptotes and points found in the table.

Draw a horizontal line .

Observe the graph: the horizontal line touches the graph of the function exactly one point.

Therefore, the function is one-to-one.

Solution:

is one one function.