Given:
1) \(g(x)=\frac{x^{2}+4 x-3}{x-3}\)
(a) Find the domain of \(g(x)\) in interval notation.
(b) Find the vertical asymptote.
(c) Find the horizontal asymptote.
(d) Find intercepts if any.
Given:
2) \(h(x)=\frac{8 x^{2}-10 x-3}{2 x^{2}-9 x+9}\)
(a) Find the domain of \(g(x)\) in interval notation.
(b) Find the vertical asymptote.
(c) Find the horizontal asymptote.
(d) Find intercepts if any,
6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity b. 13] c. Find all intercepts. d. Find critical points. Find any local extrema. e. 121 Page 7 of 12 13) f. Find points inflection. 13) g. Sketch. Label: . Intercepts Asymptotes Critical Points) Point of Inflectionfs) 6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote...
please answer to the question in the figure. Find each of the following functions. rx) = V5-x, g(x) = VX2-4 (a) fg State the domain of the function. (Enter your answer using interval notation.) (b) f-9 State the domain of the function. (Enter your answer using interval notation.) (c) fg State the domain of the function. (Enter your answer using interval notation.) (d) fig State the domain of the function. (Enter your answer using interval notation.) x+2 (a) fog (fo...
Given g(x)=3* +3 State the equation of the asymptote. Determine the domain and range of g(x). What is the equation of the horizontal asymptote of g(x) = 3* + 3? y= What is the domain of g(x) = 3* +3? (Type your answer in interval notation.) What is the range of g(x) = 3* +39 (Type your answer in interval notation.)
1: Solve the following inequalities and express your answer in interval notation. (10 points) x? - 5x-620 Solution 1: 2: Solve the absolute value inequality; 3 - 2x > 9. Write the solution in interval notation. (10 points) Solution 2: (5 points each) 3: For the following function, 3x + 4 f(x)= x+2 3.1: State the domain of the function, Solution 3.1: 3.2: Find x- and y-intercepts (if any), Solution 3.2: 4: Given f(x)=x+5x+2, evaluate the following expression: f(x+h)-f(x) +0....
Find the domain of the function. (Enter your answers as a comma-separated list.) 3 x-2 The domain of f(x) is all real numbers except x = Find the vertical asymptotes and horizontal asymptotes of the function. (Enter your answers as comma-separated lists of equations.) vertical asymptote(s) horizontal asymptote(s) Additional Materials eBook Find the Intercepts, Asymptotes, and Hole of a Rational Function 24. [-/3 Points] DETAILS OSCAT1 5.6.396. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the domain of the function....
Include all relevant work please. s. Consider f(x) = *** a. Find the domain. [3] b. Find any vertical asymptotes. [3] c. Determine if there are any holes. If so, give the coordinates of the hole. [2] d. Find any horizontal or oblique asymptotes. [3] e. Determine if the graph intersects a horizontal/oblique asymptote, if it exists. Show work! [3] f. Sketch a graph of the function. To receive full credit, label any x and y intercepts and the asymptotes....
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,...
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the graph of the parabola opens upward or downward. b) Identify the vertex using the vertex formula. c) Determine the x-intercepts d) Determine the y-intercept. e) Determine the axis of symmetry ) Write the equation of the function fit) in vertex forrm g) Sketch the graph...
Given the function 2x + 1 g(x) = x - 1 a) Find the interval on which g(x) is increasing/decreasing; make sure to include g'(x) and the critical points in your answer. You may do the sign chart on a scratch paper and no need to turn in. b) Find all local maximum and local minimum of g(x) if there is any; otherwise write None. Make sure to include both x-coordinate and y-coordinate for every maximum/minimum. c) Find the interval...
Find the domain of the given function. (Enter your answer using interval notation.) g(x) = 3 + x 3 − x