
To find: Analyzing the graph of polynomial function .
Step 1: Factor the numerator and denominator of . Find the domain of the rational number.
Step 2: Write in the lowest term.
Step 3: Find and plot the intercepts of the graph. Use multiplicity to determine the behavior of the graph of at each .
Step 4: Find the vertical asymptotes. Graph each vertical asymptote using a dashed line. Determine the behavior of the graph of on either side of each vertical asymptote.
Step 5: Find the horizontal or oblique asymptote, if one exists. Find points, if any, at which the graph of intersects this asymptote. Graph the asymptote using a dashed line. Plot any points at which the graph of intersects the asymptote.
Step 6: Use the zeros of the numerator and denominator of to divide the into intervals. Determine where the graph of is above or below the by choosing a number in each interval and evaluating there. Plot the points found.
Step 7: Use the results obtained in Steps 1 through 6 to graph .

Want to see the full answer?
Check out a sample textbook solution
Chapter 5 Solutions
College Algebra Enhanced with Graphing Utilities (7th Edition) (Sullivan Enhanced with Graphing Utilities Series)
- please Solve questions by Course Name( Ordinary Differential Equations II 2)arrow_forwardInThe Northern Lights are bright flashes of colored light between 50 and 200 miles above Earth. Suppose a flash occurs 150 miles above Earth. What is the measure of arc BD, the portion of Earth from which the flash is visible? (Earth’s radius is approximately 4000 miles.)arrow_forwarde). n! (n - 1)!arrow_forward
- Suppose you flip a fair two-sided coin four times and record the result. a). List the sample space of this experiment. That is, list all possible outcomes that could occur when flipping a fair two-sided coin four total times. Assume the two sides of the coin are Heads (H) and Tails (T).arrow_forwarde). n! (n - 1)!arrow_forwardEvaluate the following expression and show your work to support your calculations. a). 6! b). 4! 3!0! 7! c). 5!2! d). 5!2! e). n! (n - 1)!arrow_forward
- Amy and Samiha have a hat that contains two playing cards, one ace and one king. They are playing a game where they randomly pick a card out of the hat four times, with replacement. Amy thinks that the probability of getting exactly two aces in four picks is equal to the probability of not getting exactly two aces in four picks. Samiha disagrees. She thinks that the probability of not getting exactly two aces is greater. The sample space of possible outcomes is listed below. A represents an ace, and K represents a king. Who is correct?arrow_forwardConsider the exponential function f(x) = 12x. Complete the sentences about the key features of the graph. The domain is all real numbers. The range is y> 0. The equation of the asymptote is y = 0 The y-intercept is 1arrow_forwardThe graph shows Alex's distance from home after biking for x hours. What is the average rate of change from -1 to 1 for the function? 4-2 о A. -2 О B. 2 О C. 1 O D. -1 ty 6 4 2 2 0 X 2 4arrow_forward
- Write 7. √49 using rational exponents. ○ A. 57 47 B. 7 O C. 47 ○ D. 74arrow_forwardCan you check If my short explantions make sense because I want to make sure that I describe this part accuratelyarrow_forwardWe are going to build a snake bot using 6 different segments. How many different snake bots can we make? Show Calculatorarrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





