Just C & D please Consider the graph of a rational function f that is shownbelow.1543-5-4-3-2to4---2-3-4-5Complete the following statements.a. As x →1, f(x) →Previewb. As x →– 1†, f(x) →-Previewc. As x → 4 , f(x) →Previewd. As x → 4*, f(x) →Preview

Answered: Image /qna-images/answer/2b4dba3d-c4f9-4726-a196-656d57147960.jpg

Answered: 4 3- -4 4. 3.

Math

Calculus

4 3- -4 4. 3.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.6: Rational Functions

Problem 1E: If the rational function y=r(x) has the vertical asymptote x=2, then as x2+ , either y ______or y...

See similar textbooks

Similar questions

Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6 w(x)=x+3x3+6x+9x (a) Which of these rational functions has a horizontal asymptote? (b) Which of these functions has a slant asymptote? (c) Which Of these functions has no vertical asymptote? (d) Which Of these functions has a "hole"? (e) What are the asymptotes of the function r(x) ? (f) Graph y =u(x) , showing clearly any asymptote and x- and y intercepts the function may have. (g) Use long division to find a polynomial P that has the same end behavior as t. graph both P and t on the same screen to verify that they have the sane end behavior.
13. Prove that if and are rational numbers such that then there exists a rational number such that . (This means that between any two distinct rational numbers there is another rational number.)
Create and graph your own example of a RATIONAL FUNCTION that is considered to be under, the degree of the numerator and denominator are equal, and graph the said rational function
7) Consider the graph of a rational function f that is shown below.
33Find the domain of the given rational function.
Recall that Q denotes the set of rational numbers. Show that there does not exist a strictly increasing function f:Q-->R such that f(Q)=R.
create and graph your own example of a RATIONAL FUNCTION that is considered to be under CASE #2, the degree of the numerator and denominator are equal, and graph the said rational function
The graph of the rational function f(x) is shown below. Using the graph, determine which of the following local and end behaviors are correct. As x→∞, f(x)→2 As x→−∞, f(x)→2 As x→−4+, f(x)→∞ As x→−1+, f(x)→−∞ As x→−1+, f(x)→∞ As x→−4−, f(x)→−∞
Write eqaution of rational function, f(x), that satfies the following conditions: f(x) < 0 throughout the domain of the function The function has restrictions at x=-2 x=5
what is (are) the verticle asymptote(s) of the rational function: f(x)= 2x+5/x^2+4x+3 1. x=0 2. x=5/2 3. x=-3, x=-1 4. x=3,x=1
a)Prove that 3d − c = 2. b)If the vertical asymptote of the above rational function is the line x = 1, determine the value of d c)Hence, determine the value of c, and write down the actual expression for the rational function.
Consider the graph of a rational function ff that is shown below. Complete the following statement. As x→−2-, f(x)→