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answer all please 6. Find the amplitude of each function below- if no amplitude exists, write...
. Find the exact value of each expression. If the expression is undefined, say so. a) sec(225.) 2m c) tan(-π 4. Sketch the graph of y-sec(x). Sketch at least one full cycle. Accuratdy label any asymptotes or x- intercepts. State the domain of the function Domain . Find the exact value of each expression. If the expression is undefined, say so. a) sec(225.) 2m c) tan(-π 4. Sketch the graph of y-sec(x). Sketch at least one full cycle. Accuratdy label...
3. The graph shown below is of the function 1 2 1 0 37 2 3- 2 ! 2 2 . be 1 1 a. y = cotx b. y = sinx c. y = tan x d. y = sec x
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...
PLEASE SHOW WORK!!!!! 6) List the 5 key points for each of the following steps 9 if the step is not applicable, just write none), then graph the function, including 2 full periods, be sure to label the axis. y= 2+cos(x+1) Original Points: Amplitude: Period and endpoints: Reflection: Vertical Shift: Graph: 7) Graph the function for 2 full periods. Be sure to show and label the vertical asymptotes as well as the x-intercepts. F(x) = 4 tan (2x) 8) Evaluate...
1) For each of the following functions, determine: the period the amplitude, if any one pair of successive vertical asymptotes (if there are any at all) the phase (horizontal) shift, saying by how many units and whether to the right or to the left 3 cos 4x a) b) cot (x-) c) sec (x+ 1) d) 1+3 tan mx 1) For each of the following functions, determine: the period the amplitude, if any one pair of successive vertical asymptotes (if...
please show all work. Thanks in advance :) To determine the 5 key points, you want to determine the x-coordinates of each quarter period. For exam sin(Bx + C), you want to set Bx + C equal to ple, to graph a function in the form y 0巨,T,T, and 2π to determine the new x-coordinates that you will use in your graphs. ch a detailed graph for each of the following functions. Graph at least one full period, indicating the...
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 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 (−∞,...
Directions: Show all work, and answer each question that is asked. Define all variables. Explanations should be given in complete sentences. Any graphs should be drawn accurately on graph paper, and axes need to be fully labeled, units accurately scaled, asymptotes drawn in and at least 5 points including x- and y-intercepts clearly labeled. ALL ANSWERS MUST BE JUSTIFIED with work, or a table, or explanations, etc. on how numbers were derived. DO NOT USE LOGARITHMS Phillip wants to have...
please solve b and c 3. Use the following steps to sketch the graph of each of the following functions. Step 1: Find the domain. Step 2: Find the y-intercept and all x-intercepts. Step 3: Decide if the function has any symmetry: odd, even, periodic. Step 4: Find any horizontal or vertical asymptotes. Justify using limits. Step 5: Find the critical numbers and determine intervals of increase/decrease. Step 6: Identify all local extrema. State as ordered pairs. Step 7: Determine...