Name:    Chapter 4 Post Test

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

Find the domain of the function and identify any vertical and horizontal asymptotes.

 a. Domain: all real numbers x except Vertical asymptote: Horizontal asymptote: b. Domain: all real numbers x except Vertical asymptote: Horizontal asymptote: c. Domain: all real numbers x except Vertical asymptote: Horizontal asymptote: d. Domain: all real numbers xVertical asymptote: Horizontal asymptote: e. Domain: all real numbers x except Vertical asymptote: Horizontal asymptote:

2.

Find the domain of the function and identify any vertical and horizontal asymptotes.

 a. Domain: all real numbers Vertical asymptote: No vertical asymptoteHorizontal asymptote: b. Domain: all real numbers except Vertical asymptote: Horizontal asymptote: c. Domain: all real numbers Vertical asymptote: Horizontal asymptote: d. Domain: all real numbers except Vertical asymptote: No vertical asymptoteHorizontal asymptote: No horizontal asymptote e. Domain: all real numbers except Vertical asymptote: Horizontal asymptote:

3.

Select the graph of the rational function .
 a. d. b. e. c.

4.

Find the zeros (if any) of the rational function.

 a. b. c. d. e.

5.

Simplify and find any vertical asymptotes of .

 a. ; Vertical asymptote: none b. ; Vertical asymptote: c. ; Vertical asymptote: none d. ; Vertical asymptote: e. ; Vertical asymptote: none

6.

The cost (in millions of dollars) of removing of the industrial and municipal pollutants
discharged into a river is given by

.

Select the correct graph of the cost function.
 a. d. b. e. c.

7.

The game commission introduces 100 deer into newly acquired state game lands. The population  of the herd is modeled by

where is the time in years. Find the populations when .
 a. deer b. deer c. deer d. deer e. deer

8.

Determine the zeros (if any) of the rational function .
 a. b. c. d. e. no zeros

9.

Give the domain of the function and identify any asymptotes.

 a. Domain: all real numbers x except Vertical asymptote: Slant asymptote: b. Domain: all real numbers x except Vertical asymptote: Slant asymptote: c. Domain: all real numbers x except Vertical asymptote: Slant asymptote: d. Domain: all real numbers x except Vertical asymptote: Slant asymptote: e. Domain: all real numbers x except Vertical asymptote: Slant asymptote:

10.

Use the graph of to select the graph of .

 a. d. b. e. c.

11.

Which of the following is the graph of the given equation?
 a. d. b. e. c.

12.

Determine the equations of any horizontal and vertical asymptotes of .
 a. horizontal: none; vertical: none b. horizontal: ; vertical: c. horizontal: ; vertical: d. horizontal: ; vertical: e. horizontal: ; vertical:

13.

Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin.

Focus:
 a. b. c. d. e.

14.

Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin.

Focus:
 a. b. c. d. e.

15.

Find the center and vertices of the hyperbola and sketch its graph, using asymptotes as sketching aids.

 a. Center: Vertices: d. Center: Vertices: b. Center: Vertices: e. Center: Vertices: c. Center: Vertices:

16.

Find the standard form of the equation of the hyperbola with the given characteristics.
foci:           asymptotes:
 a. b. c. d. e.

17.

Find the standard form of the equation of the parabola with the given characteristics.

;
 a. b. c. d. e.

18.

Identify the center and radius of the circle.
 a. center: (–6, 0)          radius: 7 b. center: (0, –6)          radius: 49 c. center: (0, 6)          radius: 49 d. center: (0, –6)          radius: 7 e. center: (6, 0)          radius: 7

19.

Find the vertex and focus of the parabola.
 a. vertex:           focus: b. vertex:           focus: c. vertex:           focus: d. vertex:           focus: e. vertex:           focus:

20.

Identify the conic by writing the equation in standard form.
 a. ; hyperbola b. ; hyperbola c. ; parabola d. ; circle e. ; parabola