Which function has vertical asymptotes x =-3 and x = ? Os(2) = а) 1 2x2+7x+3 O® {(2) = = 1 222 —5х—3 Odf(=) = 2а2 +5х —3 O d) "s(=) = 1 2x2 – 7x+3

Q: Find the intervals in which the function f(x)=3x -18x² +7 is increasing/decreasing. Also find the…

A: For function f(x) you can find the intervals in which f(x) increases by solving f'(x) > 0. For…

Q: Show if the Following Function ic a divergent or convergent Ir it converge, Find the root. X = 2.4…

A:

Q: ate a continous and differentiable functiin f(x) with the following properties:  f(x) is decreasing…

A: It is given that , f(x) is decreasing at x=-6, f'-6<0 f(x) has a local minimum at x= -3  and f(x)…

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A:

Q: On which the interval the function is increasing?

A: Given,          The graph of the function is shown below :

Q: Find the asymptotes, intervals of increase, decrease, concave upward, concave downward, local max,…

A: No asymptotes, Increasing when X<3/4 Decreasing when 3/4<X<1 Concave down for x<1 Local…

Q: The graph of f(x) = 5(x – 1)2 – 6 is a parabola that opens --Select--- , with its vertex at (x, y) =…

A: Given equation  f(x) =5x-12-6

Q: Determine the interrals on which fIS increasing decreasing and constant. also state the domain and…

A: To find:- Need to find out intervals where function increasing, decreasing and constant Method:-…

Q: find the maximum and minimum values of the func- tion on the given interval y=2x2−4x+2,  [0,3

A: Given y=2x2-4x+2

Q: The value (x, f(x)) of the maximum or minimum limit of the function 8 + f(x) = x3 - 6x2 + 4x and for…

A: Please see the attachment

Q: Find a formula for f-(x) and (f-1)'(æ) if ƒ(x) = -V5 – x f-' (x) = (5-1)'(x) =

A:

Q: Find the intervals on which ƒ is increasing and the intervals on which it is decreasing. ƒ(x) = x3 +…

A: Given: Find the increasing and decreasing interval of function. Condition for monotonic increasing,…

Q: G&)= In (5x t10) + 1, 1 State and domain, vertical asymptote end behavior. As approches vertical, Gx…

A: Let G(x)=ln(5x+10)+1.1 The domain of the function is the set all x-values on which the function is…

Q: Determine the threer-value candidates for absolute extremum on the interval [-3,1] for the function…

A:

Q: tion 1. Find the rule of the piecewise function

A: 1. From the graph given , the piecewise distribution of the function is as follows ,  fx=x+1 ,…

Q: (3) Show that the function is discontinuous on the specified interval. Vx2 - 64 if x < -8 if -8 <x <…

A: Note: According our answering guidelines we have to answer only one question (if there are multiple…

Q: Consider the function defined on the indicated interval. f(x) = 2a° – 18x2 + 48x – 36, [3, 6] Find…

A:

Q: Find the point on the curve q(x)=x2+6 that is closest to the point (−18,6). Enter your answer as an…

A: Given

Q: 9. The interval for function (6-x)/4< (3x-4)/2 is

A: Find your answer below

Q: A friend looks at the graph of y3x and observes that if you start at the origin, the graph increases…

A:

Q: Use the alternate definition, lim Ax)-Aa) to determine the instantaneous rate of X- a change of Ax)…

A:

Q: With a function of x^4 - 50x^2 + 9, and  increasing intervals at [-5, 0] and [5, infinity), and…

A: To find the inflection points of the given functions.

Q: It reaches a certain height and stays at that height for a certain period of time. Finally, the…

A: We are given the following figure. We know that,

Q: Find the horizontal asymptotes of the function by computing the limits at infinity.

A: Givenf(u)=8u-316u2+6

Q: 7. Find the absolute maximum and the absolute minimum off(x) = 2x³ – 3x - 12x + 5 on the interval…

A:

Q: If the point (π/6, -6) lies on the function y = 2sin (x + k) – 7 for the interval 0 ≤ k ≤ 2π,…

A: Given that  y= 2sin(x+k)-7 point(π/6,-6) lies on curve

Q: Use simple fixed-point iteration to locate the root of f(X) = 2sin(√x) - x

A:

Q: Show that the line y x-1 is an oblique asymptote for the graph of y f(x), summarize all pertinent…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: Give the formula for a function which has vertical asymptotes at x=7 and x = -6 but is otherwise…

A: A function has vertical asymptotes at x=7 and x=-6 but is otherwise continuous.

Q: Find the minimum and maximum of the function y = - 6480z on [-8, 8] by comparing values at the…

A:

Q: Consider the image attached of the graph of a function y = g(x) on the domain -8 <= x <= 8, which…

A: Label the points on the given graph as shown below.

Q: 2. Use the algorithm for curve sketching to sketch the function f(x) = x'- 9x + 15x + 30. Be sure to…

A:

Q: Sketch both functions on the same plane. Label all asymptotes and at least two points for each…

A:

Q: Select ALL horizontal and vertical asymptotes if the exist (0/10 Puan) f (x) 3x+2 (x-1)(x+5) !! U x…

A: Given  f(x)=3x2+2(x-1)(x+5)

Q: Find the roots of f (x) = x4 − 4x2 and sketch its graph. On which intervals is f decreasing?

A:

Q: explain using a graph of (x) = X³-6x, for 0≤x≤3 With Six sub intervals, what the Riemann sum…

A:

Q: Find the point on the curve h(x)=x2−8 that is closest to the point (−18,−8). Enter your answer as an…

A: If the point on the curve h(x) = x2 − 8 is closest to the point (−18,−8), then their distance will…

Q: 3. To achieve the maximum benefit for the heart when exercising, your heart rate (in beats per…

A:

Q: On the interval 2 < x < 4, there is a relative… •maximum •minimum •increasing •decreasing •constant

A:

Q: Create a Piecewise function that:   a) has infinitely many vertical asymptotes and infinitely many…

A: Consider the equation

Q: If the line y = 2 is the horizontal asymptote of the curve y = f(x), then /(2) is undefined. Select…

A: To find whether given statement is true or false.

Q: Find the smallest positive root for the given function by using the false position method with…

A:

Q: graph of f(x) = 4(x – 2)² – 7 is a parabola that opens --Select- v with its vertex at (x, y) = ( and…

A:

Q: bounded by the graphs of the equat y

A:

Q: Suppose f(x) = x° + 3x + 1. In this problem, we will show that f has exactly one root (or zero) in…

A:

Q: ven graph of f(x)=2x^3-5x^2-7x+6. Find all the roots of f(x) by using section method with |b-al=1* )…

A: One root will lie between  -2 to -1 another between 0 to 1 and 3rd root between 3 to 4

Q: is the total cost of production for a 7-hour day, where x machines are used to produce jackets and y…

A: The Extreme value theorem states that if a function is continuous on a closed interval a, b, then…

Q: Sketch the graph of y = (x² – 2)² – x². [In your answer, you must include the following: • Find the…

A: We have to sketch the graph of function y=x2-22-x2

Q: The point (0, 1) is not a point on the curve, due to the fact that division by zero is not - This is…

A: Given function, f(x)=sinxx over domain [-2,2]

Q: pose g is a function which has continuous derivatives, and that g(5) = -3, g' (5) = 3, g"(5) = –1,…

A: We have to taylor polynomial of degree 2 and degree 3.