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)...
6. Graph the function f(x)= 4(x - 2) x(x+3) labeling all intercepts and asymptotes.
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...
Sketch the graph of two periods of the function. Label the key points showing intercepts, asymptotes, and the location of any maximum and minimum values. Give any phase shifts or vertical shifts as necessary. 6. Graph on the same axes f(x)= 3sin(x+1) Show 5 key points
x? - 2x+1 7. (15) Given the function f(x) (x-1)2 calculate all possible intercepts, X asymptotes, and relative max and min points. Draw a sketch of the graph.
Rational graphs worksheet Form a complete graph for each of the following. Include all intercepts and asymptotes - 3x+2 x +2 x(x+1 y= (x-2)2 (x +1) x3 (x +1 d) c) y2x y = Form a complete graph for each of the following. Include all intercepts and asymptotes - 3x+2 x +2 x(x+1 y= (x-2)2 (x +1) x3 (x +1 d) c) y2x y =
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....
help me question number 12 and 13 please 12. Graph **5 Find all intercepts and asymptotes. 13. Graph F(x) = x+ + x3 – 12x2
8) suppose that x-intercepts of the graph of y=f(x) are -5 and 2. a) What are the x-intercepts of the graph of y=f(x-2) ? b) What are the x-intercepts of the graph of y = f(x+3) ? c) What are the x-intercepts of the graph of y--3 f(x)? d) What are the x-intercepts of the graph of y=f(-x) ?
Please draw a graph for each function and contain units, and any asymptotes and intercepts must be clearly labeled A one-to-one function F(x) with domain ?−π, π?, range [1,2] and such that F ?−π? = 1 A function s(x) that is obtained first by vertically stretching y = sin(2πx) by a factor of a (a is a positive integer greater than 1) and then by horizontally shifting by 1 unit to the right. A one-to-one function Q(x) with domain (−∞,...