DISCOVER: Transformations of y = 1/x2 In Example 2 we saw that some simple rational functions can be graphed by shifting, stretching, or reflecting the graph of y = 1/x. In this exercise we consider rational functions that can be graphed by transforming the graph of y = 1/x2.
- (a) Graph the function
by transforming the graph of y = 1/x2.
- (b) Use long division and factoring to show that the function
can be written as
Then graph s by transforming the graph of v = 1/x2.
- (c) One of the following functions can be graphed by transforming the graph of y = 1/x2; the other cannot. Use transformations to graph the one that can be, and explain why this method doesn’t work for the other one.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
- Sketching the Graph of a Rational Function In Exercises 15-44 (a) state the domain of the function, (b) identify all intercepts, (c) find any vertical or horizontal asymptotes, and (d) plot additional solution points as needed to sketch the graph of the rational function. f(t)=t21t1arrow_forwardThink about rational functions. Sketch a graph by hand of a possible rational functions. Identify the following from your graph: Domain x-intercepts. y-intercept. horizontal asymptotes. vertical asymptotes.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning