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...
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)...
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. Graph f(x)= e2-*-1. Label all asymptotes and intercepts.
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.
13) Use the guidelines to graph the following function (Domain, Intercepts, Symmetry, Asymptotes, Intervals of Increase or Decrease, Local Maximum and Minimum Values, Concavity and Point of Inflection). 2x 3 f(x) 2x 8 101 8 6 4 2 2 4 6 8 10 -10 -8 6 -4 -2 -2 4 6 8 -10
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 (−∞,...
13) Use the guidelines to graph the following function (Domain, Intercepts, Symmetry, Asymptotes, Intervals of Increase or Decrease, Local Maximum and Minimum Values, Concavity and Point of Inflection). 2x – 3 f(x) 2x 8 10 8 02 4 N 2 4 02 8 10 -10 -8 -6 -4 -2 -2 -4 -6 -8 -10
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 =
2. Consider the function f(x) = ln (x+4) [6-6+8-16 marks] Note: f'()1")*** 3(4-2) a) On which intervals is f(x) increasing or decreasing b) On which intervals is f(x) concave up or down? c) Sketch the graph of f(x) below Label any intercepts, asymptotes, relative minima, relative maxima and infection points