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The figure below shows the graph of a rational functionſ. It has vertical asymptotes x-1 and...
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...
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 graph of a rational function fis shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to complete the following. (a) Find all x-intercepts and y-intercepts. Check all that apply. X-intercept(s): 4 00 01 None . : O=D y-intercept(s): 01 04 00 None Dando None (0,0) HHH [0,0] (0,0] [0,0) (b) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary....
The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes", Use the graph to complete the following. (a) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. : None O=o (0,0) Dando Vertical asymptote(s): 1 Horizontal asymptote(s): U [0,0] (0,0) (0,0) O ovo 00 - - -8 EEE-- - -6 1 (b)...
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.)
00 The information below tells us about the behavior of the rational function f around its asymptotes. Use this information to answer the following questions. limf(1) = 5 f(3) =5 lim S(z) = 00 $(x) = -00 lim f(3) = 0 lim f(x) = 0 • The only horizontal intercept: (- 1.8,0). a. What is the vertical asymptote(s) of the functions. If there is no vertical asymptote, write DNE. Separate multiple answers with a comma lim -5 Preview b. What...
7. Graph the rational function and answer following question hx) 2 -2x+7 horizontal and vertical asymptotes (if any) also plot at least two points on each piece of the graph. And answer the following questions Vertical asymptote Horizontal asymptote Holes x-intercept y-intercept
Give the equations of any a) vertical and (b) horizontal asymptotes for the graph of the rational function y=f(x). 4-6x fx)-3x+6 a. Select the correct choice below and, if necessary, il in the answer box to complete your choice. A. There is one vertical asymptote The equation of the vertical asymptote is ied OB There are two vertical asymptotes From left to right on the graph, the equations of the vertical asymptotes are囚and ° C. There are no vertical asymptotes....
For the polynomial below, 3 is a zero. g(x) = x3 + 3x2 – 5x - 39 Express g (x) as a product of linear factors. 8(x) = 0 x 5 ? Find all other zeros of P(x) = x + x + 4x + 30, given that 1 – 3i is a zero. (If there is more than one zero, separate them with commas.) x 6 ? The figure below shows the graph of a rational function f. It...
el Find the horizontal asymptotes 14. The graph of a rational functionf(x) is shown, together with its vertical and horizontal asymptotes. a. As x → +00, f (x) → ? b. As x-+-oo, f (x) → ? .5 C. As x →-1+, f(x)-? 5 4 3 2 el Find the horizontal asymptotes 14. The graph of a rational functionf(x) is shown, together with its vertical and horizontal asymptotes. a. As x → +00, f (x) → ? b. As x-+-oo,...