O POLYNOMIAL AND RATIONAL FUNCTIONS Writing the equation of a rational function given its graph 3 . The figure below shows the graph of a rational functionſ. It has vertical asymptotes x -1 and x=6, and horizontal asymptote y The graph has x-intercept 4, and it passes through the point (2, -1). The equation for f(x) has one of the five forms shown below. Choose the appropriate form for f (x), and then write the equation. You can assume that...
The figure below shows the graph of a rational function. It has vertical asymptotes x = 1 and x = 6, and horizontal asymptote y=0. The graph has x-intercept 3, and it passes through the point (5,-2). The equation for f(x) has one of the five forms shown below. Choose the appropriate form for f(x), and then write the equation. You can assume that f(x) is in simplest form. :() (*) - a(x-6) X- 10 S(x) = (x - 2)(x...
The figure below shows the graph of a rational functionſ. It has vertical asymptotes x-1 and x-5, and horizontal asymptote y 0. The graph does not have an x-intercept, and it passes through the point (-4,-2). The equation for f(x) has one of the five forms shown below. Choose the appropriate form for f(x), and then write the equation. You can assume that f(x) is in simplest form. (0) -8 X-b a(x - 1) X-C (x - 2) (x -...
9. Given f(x) = 2x4 - 15x + 3x2 - 14x + 25, determine all of the possible rational zeros of f(x) by filling in the appropriate information below. [5 Points] p: +{ q: +{ Possible Rational Zeros of f(x) Max Number of Real Zeros: Max Number of Turning Points: x2+x-12 10. Use the rational function R(x) = to answer the questions below. [10 Points) x2-16 For parts (a-c) determine the equation of each asymptote if it exists. For part...
Find an equation for the graph below (I give you two images of the same graph): Close-up view near the origin 1. Expanded view 0 -30-20-10 20 30 4O 25 45 I gave you (in the graph) the x-intercepts. There is a vertical asymptote at x = 4 and a horizontal asymptote at y =- a First give your answer (in factored form): 13 [6 pts] f(x) b) Then explain, in words, your reasoning for your answer. Be sure to...
Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of the rational function. 3x2+6 f(x)x+2 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. The equation of the vertical asymptote is O B. There is no vertical asymptote. (Type an equation.)
I just need clarification on the question marks, are they right if not how would I do/fix them. thank you! JU 3. For each of the following functions, state all asymptotes (vertical, horizontal, oblique) in equation 5x +7 vasy: x²-9 X=9,-9 Horizontal: 0 +6 - 9 vertical asy: X-9 Horizontal asy: 2. Use the graph below to wwer the following 1. State all x-inviercepts in point form (2.0) b. State the y-intercept in point form. (0, -1) c. State any...
Find the horizontal asymptote of the given function. 35) f(x) - 4x2.3 4x2.3 A) Y-3 C) y - 1 B) y--3 D) None Sketch the graph of the rational function. Indicate the equations of the vertical and horizontal asymptotes and the y-intercept. 40) f(x)* Vertical Asymptote: Horizontal Asymptote y-intercept 36) gix) x2 + 8x - 5 x-5 A) y - 5 C) None B) y = 0 D) y - 8 37)(x) x2.5 A) y = 0 C) None B)...
Problem 4.1.38 Use the graph bellow of f(x) = e* to graph g(x) = e* - 1. 10- 9 -8 7 6 5- 4 (2,6 -7.39) f(x) = ? (-1,2-1=0.37) (-2, 6-2014) 2 (1, e 2.72) (0.1) Horizontal asymptote: y = 0 (a) Graph and write the equation(s) of the asymptote(s) of g. (b) The domain of g is (c) The range of g is
Please tell me which options I need to select and what I have to type in. Thank you! 3-3x For the given rational function f(x)- x- find the following (A) Find the intercepts for the graph. (B) Determine the domain. (C) Find any vertical or horizontal asymptotes for the graph (D) Sketch any asymptotes as dashed lines. Then sketch a graph of y f(x) (A) Identify the x-intercepts, if there are any. Select the correct choice below and, if necessary,...