Q: Find the domain and range of the following rational function. Your answer must be written in…
A: We are given a rational function f(x) for which we need to find domain and range f(x)=2+x2x
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Q: Use the graph of the rational function to complete the following statement As x -4, (x) As x -4, x)…
A: Since we know that asymtodes meets the curve at infinity. Therefore from the graph we can see that…
Q: Solve:(a) state the domain of the function, (b) identify all intercepts, (c) find any vertical or…
A: Explanation: Given that, f(x)=-x(x-2)2 (a) Domain To find the domain of the function, we will set…
Q: Follow the seven steps stategy to graph the rational function: f(x) =2/(x2 - 1)
A: Given The seven steps strategy to graph the rational function are 1) Find domain ,2) Find range ,…
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Q: Use the graph of the rational function to complete the following statement. As x - -2, (x) → of
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Q: Find the domain and range of the following rational function. Your answer must be written in…
A: We have to find range and domain of following function, f(x) = (x+3)/(5x-5) As per our…
Q: Write the domain
A: The domain of a function is the set of all possible inputs for the function, such that the function…
Q: Determine the zeros (if any) of the rational function. x-216 p (x) = 215
A: To find the zeros of the rational function: p(x)=x3-216x2+5
Q: Find the domain of the rational function.
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Q: Use transformations of the graph of y = 1/x to graph the rational function, and state the domain and…
A: The transformation method is used to find the graph of a function from the graph of a standard…
Q: Use the graph of the rational function to complete the following statement. As x → - 0, f(x) → As x…
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Q: domain
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Q: Use transformations of the graph of y = 1/x to graph the rational function, and state the domain and…
A: Use transformation of the graph of y=1/x to graph the rational function.
Q: Use the graph of the rational function to complete the following statement. As x -1, f(x)→ X. -5 As…
A: Given
Q: Find the vertical, horizontal, and oblique asymptotes, if any, of each rational function.
A: Find the vertical, horizontal, and oblique asymptotes, if any, of each rational function. Rx=3x+5x-6
Q: 2. Which of the following statements best describe the graph of the rational function below?
A: here given the graph of rational function
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A: Given Gx=6x+34-x
Q: Use the graph of the rational function to complete the following statement. As x → -1", f(x) → As x…
A: Given,
Q: Use the graph of the rational function to complete the following statement. As x →3, f(x) → As x →…
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Q: Use the graph of the rational function to complete the following statement. As x → - 0o, f(x) → As x…
A: The graph of the function is given by To evaluate : As x→-∞, f(x)→?
Q: Use the graph of the rational function to complete the following statement. 3- As x - 00, f(x)→ -7
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Q: Find the domain of the rational function f(x) = x/(x2 - 16) and graph the function.
A: The given function is fx=xx2-16. Obtain the domain of the rational function as follows: Take the…
Q: Use the graph of the rational function to complete the following statement. 10- As x - 3*, f(x) –→…
A: To complete the below statement using the given graph. As x→3+, fx→
Q: Use the graph of the rational function to complete the following statement. As x4, f(x) → As x-4,…
A: We can find the given statement.
Q: Use transformations of the graph of y = 1/x to graph the rational function, and state the domain and…
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Q: Use the graph of the rational function to complete the following statement. As x - -2", f(x) → As x…
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Q: Use the graph of the rational function to complete the following statement. As x - -4", f(x) →
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Q: Use the graph of the rational function to complete the following statement. Ay As x → -3, f(x) - As…
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Q: Use the graph of the rational function to complete the following statement. As x→4, f(x) →
A: Here we have to use the graph of the rational function to complete the following statement. As x→4-,…
Q: 2х-1 f (x) х2+x-6 II
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Q: Use the graph of the rational function to complete the following statement. As x - 1", fx) – As x -…
A: Given a graph of rational function f(x).
Q: Use transformations of the graph of y = 1/x to graph the rational function, and state the domain and…
A: sx=3x+1
Q: Use the graph of the rational function to complete the following statement. Ay As x - o, f(x) →
A: From the given graph of the rational function to complete the following statement. As x➜ -∞ , f(x)…
Q: (d) Plot additional solution points as needed to sketch the graph of the rational function.
A: Given function is as below :
Q: Find the domain of the rational function f(x) = 1/(x + 3)2 and graph the function.
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Q: Use the graph to find the vertical asymptote of the rational function. 10- 2 4 8 10 -5 -tho
A: Vertical asymptotes: The vertical asymptote in a rational function is a vertical line x='k' where…
Q: Jse the graph of the rational function to complete the following statement. Asx-3. f(x) → ..... As x…
A: We are given the following figure. We need to evaluate the following.
Q: Use the graph of the rational function to complete the following statement. As x → - 1, f(x) – ->
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Q: Use transformations of the graph of y = 1/x to graph the rational function, and state the domain and…
A: Given: y = 1x To graph: Using the transformations to graph the function s(x) = -2x-2 and to state…
Q: Use the graph of the rational function to complete the following statement. As x - 0o, f(x)→ As x →…
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Q: Follow the seven steps stategy to graph the rational function: f(x) =2/(x2 +x- 2)
A: Given, f(x)=2(x2+x-2)
Q: Use the graph of the rational function to complete the following Ay 10- statement. 8- As x → 1, f(x)…
A: To answer the given question, we carefully read the graphs and then answer the question.
Q: Use the graph of the rational function to complete the following statement. As x 1, f(x) → ...... As…
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Q: Use the graph of the rational function to complete the following statement. As x → 4, f(x) → As x -…
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Q: Use the graph of the rational function to complete the following statement. As x - 00, f(x)→ As x -…
A: The given graph has a horizontal asymptote at y = 0.
Q: Use the graph of the rational function to complete the following statement. As x2, f(x)→ As x→2,…
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Q: Use the graph of the rational function to complete the following statement. As x - -3, f(x) → As x -…
A: Explained below
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- 2. (10) The graph of y 12 - 10 has a horizontal asymptote2. (11) The graph of y = 62 + 8 (enter the equation of the horizontal asymptote) has a horizontal asymptote with equation1. (a) Draw a graph where y = 2 is a horizontal asymptote and the graph never crosses the asymptote.(b) Draw a graph where y = −1 is a horizontal asymptote and the graph crosses the asymptoteinfinitely many times.(c) Draw a graph where y = 3 and y = −3 are both horizontal asymptotes
- 2.(17) The graph of y= - 6a3 4 97 - 8 223 4. R has a horizontal asymptote with equation (enter the equation of the horizontal asymptote)Find the horizontal asymptote(s) of h(x). h(x)= 9 - (8/x^2) + (-4x/(x+6)) If there are no horizontal symptotes, enter none. If there are more than one horizontal aymptote, enter a list of the equations separated by a comma. (i.e. y=0, y=-7)a. none of these b. x=0 is a vertical asymptote c. x=0 and y=0 are asymptotes c. y=0 is a horizontal asymptote e. all of these (one answer olny)
- Sketch the graph of ? = ?(? − 1)2⁄3. Find the followings if they exist a) the asymptotes b) the critical points c) the inflection points2. (14) The graph of y = 223+ 2+8 has a horizontal asymptote with equationWhich graph has all four of the following characteristics?1) The graph is symmetric with respect to the y -axis.2) The graph has a vertical asymptote at x=-13) The graph has a horizontal asymptote at y=04) The graph is decreasing on the interval (3, ∞)
- (a) What does it mean to say that the line x=a is a verticalasymptote of the curve y=f(x)? Draw curves to illustratethe various possibilities.(b) What does it mean to say that the line y=L is a horizontalasymptote of the curve y= f(x)? Draw curves toillustrate the various possibilities.The function shown in the graph below is increasing on the interval [1, 6]. The interval will be divided into 20 subintervals. (a) What are the left endpoints of the first and last subintervals? (b) What are the right endpoints of the first two subintervals? (c) When using the right endpoints, do the rectangles lie above or below the graph of the function? (d) What can you conclude about the heights of the rectangles when the function is constant on the given interval? the grapg is on a separate attachmentThe function shown in the graph below is increasing on the interval [1, 4]. The interval will be divided into 12 subintervals. (a) What are the left endpoints of the first and last subintervals? (b) What are the right endpoints of the first two subintervals? (c) When using the right endpoints, do the rectangles lie above or below the graph of the function? (d) What can you conclude about the heights of the rectangles when the function is constant on the given interval?