Observe the graph of the function :

(a)

Find the domain and range of the function :

The domain of the function is .

Range of the function is .

(b)

Find intercept of the function.

The -intercepts of the function is .

(c)

Find horizontal asymptote of the function.

The line is a horizontal asymptote of the function if approaches as approaches .

Horizontal asymptote of the function is .

(d)

Find vertical asymptote of the function.

The line is a vertical asymptote of the function if approaches as approaches from the right or left.

The vertical asympote is .

(e)

Find oblique asymptotes of the function.

When a linear asymptote is not parallel to the -axis or -axis, it is called an oblique asymptote (or) slant asymptote.

The function has no oblique asympote.

(a)

The domain of the function is .

Range of the function is .

(b)

The -intercepts of the function is .

(c)

Horizontal asymptote of the function is .

(d)

The vertical asympote is .

(e)

The function has no oblique asympote.