2-5 1. Find the Domain of the function and identify any asymptotes (6 pts.) 3. Find...
5. 6. 7. 8. Find an equation of the hyperbola having foci at (3.3) and (3.9) and vertices at (3, 5) and (3.7). Ole X $ ? Check © 2020 McGraw- Question 6 of 6 (1 por 5 6 1 2 5 X. Find an equation of the hyperbola that has foci at (-13,0) and (13,0), and asymptotes y= ia x and y=-12 8 ? X Find an equation of the ellipse that has center (0, 2), a minor axis...
#47 51. 52. 39. Vertices: (+1, 0); asymptotes: y = 5x 40. Vertices: (0, 3); asymptotes: y = 3x Finding the Standard Equation of a Hyperbola In Exercises 39-48, find the standard form of the equation of the hyperbola with the given characteristics. 41. Foci: (0, +8); asymptotes: y = +4x 42. Foci: (+10,0); asymptotes: y = +x 43. Vertices: (1, 2), (3, 2); asymptotes: y = x, y = 4 - x 44. Vertices: (3,0), (3, 6); asymptotes: y...
Find the domain of the function and identify any vertical and horizontal asymptotes.
please show work . Find the domain • Identify any vertical asymptotes of the graph • Identify any holes in the graph • Find the horizontal asymptotes, if they exist • Find any slant asymptotes, if they exist f(x) = : 23 – 4x2 - 4x – 5 x2 + x +1
3. Find the domain, asymptotes, and x-intercepts of the function, and then sketch its graph: f(x) = log(3 - x) 4. State the amplitude, period and phase-shift, and then sketch one complete cycle of the graph: y = 2cos (4x + Tt). Label all the maximum, minimum, and x-intercepts. 5. In 2002, the population of a colony is 50,000 and is increasing exponentially at 2.5% per year. a) What will the population be after 6 years? b) In what year...
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 show work 7-Identify the domain, all intercepts and asymptotes of the following function when they exist. (5 pts.) f(x) = 2x2 + 1 x2 - 1
All 1. Consider the parabola 2 - 6x +10y - 1 = 0. () Find the vertex, focus, directrix, and axis of symmetry of the parabola. (b) Sketch the graph of the parabola. 2. Consider the ellipse 9x2 + 25y2 + 361 - 150y +36 = 0. (a) Find the center, vertices and foci of the ellipse. (b) Sketch the graph of the parabola. (b) Sketch the graph of the hyperbola. 3. Consider the hyperbola r? - 4y? +43 +...
Use the graph shown to find the following. (a) The domain and range of the function (b) The intercepts, if any (c) Horizontal asymptotes, if any (d) Vertical asymptotes, if any (e) Oblique asymptotes, if any 926 (a) What is the domain? Select the correct choice below and fill in any answer boxes within your choice. O A. The domain of the function is {x1 }. (Type an inequality. Use integers or fractions for any numbers in the expression. Use...
Sketch the graph of the function. Identify 1. Vertical and horizontal asymptotes 2. X and Y intercepts 3. The interval that your function increasing or decreasing X-1 f(x) = x+2 Show all of your work on paper and submit it on canvas your won't get any credit for the last answer without submission on Canvas