Exam 16: Rational Functions

The cost C (in millions of dollars)removing p% the industrial and municipal pollutants discharged into a river is given by $C = \frac { 200 p } { 100 - p } , 0 \leq p < 100$ ​ Select the correct graph of the cost function. ​

Find the zeros (if any)of the rational function. ​​ $g ( x ) = \frac { x ^ { 2 } - 25 } { x + 5 }$ ​

Find the domain of the following function​ $f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } + 36 }$ ​

Determine the value that the function f approaches as the magnitude of x increases.​ $f ( x ) = 3 + \frac { 1 } { x - 4 }$ ​

The graph of the function $f ( x ) = \frac { 3 } { x - 2 }$ is shown below.Determine the vertical and horizontal asymptotes of its graph.

Find the domain of the function $f ( x ) = \frac { 9 } { x - 8 }$ . ​

Determine the zeros (if any)of the rational function $g ( x ) = 6 + \frac { 3 } { x ^ { 2 } + 6 }$ .

Find the domain of $f ( x ) = \frac { 2 x ^ { 2 } - x - 25 } { x ^ { 2 } + 5 x + 5 }$ .

Find vertical and horizontal asymptotes.​ $f ( x ) = \frac { 1 } { x - 7 }$ ​

Given $f ( x ) = \frac { 11 x + 8 } { 11 x ^ { 2 } + 8 x } , g ( x ) = \frac { 1 } { x }$ .Determine the domains of f(x)and g(x). ​

Simplify f(x)and find any vertical asymptotes.​ $f ( x ) = \frac { x ^ { 2 } - 16 } { x + 4 }$ ​

Find the domain of the function $f ( x ) = \frac { 6 x ^ { 2 } } { x ^ { 2 } - 25 }$ . ​

Determine the zeros (if any)of the rational function $g ( x ) = \frac { x ^ { 3 } - 64 } { x ^ { 2 } + 6 }$ .

Given $f ( x ) = \frac { x ^ { 2 } - 10 x + 21 } { x + 5 }$ ,determine the equations of any slant and vertical asymptote.

Select the correct graph of the following function.​ $f ( x ) = \frac { x ^ { 2 } - 9 } { x }$ ​

Determine the value that the function f approaches as the magnitude of x increases.​ $f ( x ) = \frac { 3 x - 1 } { x - 4 }$ ​