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1. Given, the rational function below, sketch a neat and labeled graph by filling in each...
5. For each of the rational functions below: 2x + 1 (a) f(x) = x2 (b)...
5. For each of the rational functions below: 2x + 1 (a) f(x) = x2 (b) g(x) = 2 find 2 + 1 3.12 (c) h(x) = T .x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all r-intercept(s) (if any); (v) all y-intercept(s) (if any). Write yotir answers in the following table: ydir polynomial domain Vertical Asymptote Horizontal...
5. For each of the rational functions below: 2.0 + 1 x² +1 (a) f(x) =...
5. For each of the rational functions below: 2.0 + 1 x² +1 (a) f(x) = (b) g(x) = . 2 2 find (c) h(x) = 3.2 x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all z-intercept(s) (if any); (v) all y-intercept(s) (if any). Write your answers in the following table: polynomial domain Vertical Asymptote Horizontal Asymptote x-intercept...
Graph by analyzing the given rational function: R(x) = -1 Domain: Rin lowest terms: x-intercept(s) and...
Graph by analyzing the given rational function: R(x) = -1 Domain: Rin lowest terms: x-intercept(s) and its multiplicity (cross or touch): y-intercept(s): Vertical asymptote(s), if any. Determine the behavior of the graph of R on either side of each vertical asymptote. Horizontal asymptote or oblique asymptote, if any: Additional points
12 (Rational Functions) For each rational function below, find (a) the vertical asymptote(s). (b) the horizontal as...
12 (Rational Functions) For each rational function below, find (a) the vertical asymptote(s). (b) the horizontal asymptote. (c) the x-intercept(s). (d) the y-intercept. (e) the graph of the function. 2x-6 (1) y X-2 x-5 (2) y 1+ x2-1
12 (Rational Functions) For each rational function below, find (a) the vertical asymptote(s). (b) the horizontal asymptote. (c) the x-intercept(s). (d) the y-intercept. (e) the graph of the function. 2x-6 (1) y X-2 x-5 (2) y 1+ x2-1
5. For the graph of this rational function, state the domain and write the equations of...
5. For the graph of this rational function, state the domain and write the equations of any asymptotes and coordinates of any hole. 4M Domain : Hole : Vertical asymptote(s) : Horizontal Asymptote : 6. For the graph of this rational function, identify the equations of any asymptotes and the coordinates of any hole. f(x) = - 2x + 10 x x? - 25 4M V.A.:
Consider the following graph of an unknown rational function: -10 10 5 -10 Determine the following,...
Consider the following graph of an unknown rational function: -10 10 5 -10 Determine the following, if they exist: • Domain • x-int(s) • y-int • Horizontal Asymptote • Vertical Asymptote(s) • Slant Asymptote • Hole(s) Ei
(10 pts ea) In Exercises 1 - 4, for the given rational function f: Find the...
(10 pts ea) In Exercises 1 - 4, for the given rational function f: Find the domain off. Identify any vertical asymptotes of the graph of y = f(x). Identify any holes in the graph. Find the horizontal asymptote, if it exists. Find the slant asymptote, if it exists. 1) f(x) = ***
The graph of a rational function fis shown below. Assume that all asymptotes and intercepts are...
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....
8) Given the rational function: f(x)=x6 STEP 1: Factor the numerator and denominator of (v). Find...
8) Given the rational function: f(x)=x6 STEP 1: Factor the numerator and denominator of (v). Find the domain STEP 2: Write 1x) in lowest terms. STEP 3. Find the x-and y-intercepts. STEP 4: Determine the vertical asymptote(s) (VA). Does f have any holes in its graph? If so, determine the x-values of the holes STEP 5: Determine the horizontal asymptote (HA) if one exists. Determine if /intersects the HA. If fdoes intersect the HA, what is the ordered pair? STEP...
The graph of a rational function f is shown below. Assume that all asymptotes and intercepts...
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)...
5. For each of the rational functions below: 2x + 1 (a) f(x) = x2 (b) g(x) = 2 find 2 + 1 3.12 (c) h(x) = T .x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all r-intercept(s) (if any); (v) all y-intercept(s) (if any). Write yotir answers in the following table: ydir polynomial domain Vertical Asymptote Horizontal...
5. For each of the rational functions below: 2.0 + 1 x² +1 (a) f(x) = (b) g(x) = . 2 2 find (c) h(x) = 3.2 x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all z-intercept(s) (if any); (v) all y-intercept(s) (if any). Write your answers in the following table: polynomial domain Vertical Asymptote Horizontal Asymptote x-intercept...
Graph by analyzing the given rational function: R(x) = -1 Domain: Rin lowest terms: x-intercept(s) and its multiplicity (cross or touch): y-intercept(s): Vertical asymptote(s), if any. Determine the behavior of the graph of R on either side of each vertical asymptote. Horizontal asymptote or oblique asymptote, if any: Additional points
12 (Rational Functions) For each rational function below, find (a) the vertical asymptote(s). (b) the horizontal asymptote. (c) the x-intercept(s). (d) the y-intercept. (e) the graph of the function. 2x-6 (1) y X-2 x-5 (2) y 1+ x2-1
12 (Rational Functions) For each rational function below, find (a) the vertical asymptote(s). (b) the horizontal asymptote. (c) the x-intercept(s). (d) the y-intercept. (e) the graph of the function. 2x-6 (1) y X-2 x-5 (2) y 1+ x2-1
5. For the graph of this rational function, state the domain and write the equations of any asymptotes and coordinates of any hole. 4M Domain : Hole : Vertical asymptote(s) : Horizontal Asymptote : 6. For the graph of this rational function, identify the equations of any asymptotes and the coordinates of any hole. f(x) = - 2x + 10 x x? - 25 4M V.A.:
Consider the following graph of an unknown rational function: -10 10 5 -10 Determine the following, if they exist: • Domain • x-int(s) • y-int • Horizontal Asymptote • Vertical Asymptote(s) • Slant Asymptote • Hole(s) Ei
(10 pts ea) In Exercises 1 - 4, for the given rational function f: Find the domain off. Identify any vertical asymptotes of the graph of y = f(x). Identify any holes in the graph. Find the horizontal asymptote, if it exists. Find the slant asymptote, if it exists. 1) f(x) = ***
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....
8) Given the rational function: f(x)=x6 STEP 1: Factor the numerator and denominator of (v). Find the domain STEP 2: Write 1x) in lowest terms. STEP 3. Find the x-and y-intercepts. STEP 4: Determine the vertical asymptote(s) (VA). Does f have any holes in its graph? If so, determine the x-values of the holes STEP 5: Determine the horizontal asymptote (HA) if one exists. Determine if /intersects the HA. If fdoes intersect the HA, what is the ordered pair? STEP...
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)...
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