Find the functional relationship on the basis of the graph to the right. Ay 4- 2- 1- 0- 10 100 1000 1000

Q: When f(x)→b as x→±∞, y = b is a ________ ________ of the graph of f.

A: Here we have to fill the following blank,  When f(x)→b as x→±∞, y = b is a ________ ________ of the…

Q: Determine the end behavior of the graph of the function. m (x) = – 4(x+1)(3x- 2)²(x+ 5)ª As x → -…

A: Recall: The end behavior of a polynomial function is the behavior of the graph of f(x) as x…

Q: Use the graph y=f(x) to graph the given function. 5. 4. 3. y = f(x) -4 -2 2 3. 4. 5. -3 -4. -5. -6…

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Q: Find y as a function of x if x*y" + 11xy + 25y = x', y(1) = -4, y(1) = 0. y =

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Q: Graph the following linear function. Q f(x) = 9x Use the graphing tool to graph the function. 10- 8-…

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Q: Use the graph of y = f(x) to sketch the graph of f'(æ). 10+ 7+ 6+ 5- 4+ 3+ 2-

A: In this question we will use basic of calculus i.e differentiation and sketching of curve. We will…

Q: Determine for the following equations whether y is a function of x. Justy your anwer. -x2+y4=4

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Q: Find the natural domain and graph the function F(t) = t/|t|

A: Given,

Q: Use the given graph of y = f(x) to evaluate the following. (a) f( - 5) (b) f(4) (-2,1). 1,2) (c)…

A: Given ,  We have to use the given graph of y = f(x) to evaluate

Q: Use the given graph of y= f(x) to evaluate the following. (a) f(-5) (b) f(2) (c) f(0) (d) f(-5)…

A: for finding value of fx, we find value of y-coordinate at x and for finding value of f-1y, we find…

Q: Use the graph of a transformed toolkit function to write a formula for the resulting function. y = y…

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Q: Find the x-intercepts of the graph of the function y = – x² – 6x + 3 6土V24 Ox = - 2 6土V48 O x = -2…

A: We have to find the x intercept of given function.

Q: Find y as a function of t if 5184y" – 1584y + 121y = 0, - y(0) = 6, y'(0) = 3. y =

A: We have to find the general solution of the given problem.

Q: Find a function r(t) that describes the line passing through P(9,2,9) and Q(3,6,5). (1) = (- 6t + 9…

A: 0<t<1

Q: Find the functional relationship on the basis of the graph to the right. Ay 1- 0- 10 100 1000 100

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Q: If h(x)=−8x^3−8x^2−8x−5, determine whether the graph of h(x) is concave up or down when x=3.

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Q: Find the domain of each of the functions below. s(y) = 3y/ y +5

A: In this question possible values of y are domain. Denominator can't be equal to 0 in a function.

Q: Graph both functions on one set of axes. f(x) = 4X and g(x) = 4-X y y 15 15 10 10 5 5 -4 .2 4 -4 4…

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Q: Find y as a function of t if 324y′′+684y′+361y=0, y(0)=9,y′(0)=9.

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Q: If g(x) is the graph of f(x), x^3, shifted right 2 units, write the formula of g(x)

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Q: Let f(x) = 6.3x² - 2.4x. Find the equation of the secant line on the graph of f(x) between *₁ = 3…

A: We can find the answer in the following steps.

Q: Find y as a function of x if x^2*y′′+2xy′−20y=0 y(1)=−6,  y′(1)=1.

A: Find y as a function of x if x^2y′′+2xy′−20y=0 y(1)=−6,  y′(1)=1.

Q: Use the graph of a transformed toolkit function to write a formula for the resulting function. y 10|…

A: Let the graph be g(x) The above graph is similar to left parabola (upper)  [ Positive values of y ]…

Q: Consider the function: f(x) = 2x2 + 4x + 160 %3D - The direction of the graph is like which of the…

A: Given function is  f(x)=-2x2+4x+160

Q: Find dz implicitly of the relation r + y³ = 3ry.

A:

Q: Sketch by hand, on the same axes, the graphs of the followingfunctions.   a) f(x) = x    b) g(x) =x2…

A: Given information: Functions for the graph is, a   fx=x(b)  gx=x2c  hx=x3d  jx=x4

Q: Find y as a function of t if 121y′′+198y′+81y=0, and y(5)=9,y′(5)=9. y=

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Q: Sketch the graph of following function. y = a" + 3r – 9r + 5

A: Given , function  y(x) = x3 + 3x2 - 9x + 5 We have to sketch the graph . Put , x = -5 then  y(-5) =…

Q: Match the following graph with its function. A. y = 3(0.5)^xB. y = 2( 1.2)^xc. y = 0.5(3)^xD. y =…

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Q: Find y as a function of x if x²y" – 3xy – 12y = x², y(1) = -7, y(1) = -7. y =

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Q: Match the functions with their graphs. 1. 2. 7²41 3. 4. 741 A. c. D. B.

A: We have to match the functions with their graph.the solution is following

Q: Consider the function f(x) = a. (1,4) b. (-1,4) -x+2 ( +5, select a possible point on the base…

A: solution is given below

Q: Use the graph y g(x) to graph the given function. 4 3- -1 -2- -3 -4. y = g (x) y=g 9.…

A: Graphical transformation

Q: Determine the end behavior of the graph of the function. m (x) = -2(x-2)(3x+1)°(x+4)* As x→-00, m…

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Q: Give the domain and range of the relation.

A: The given function is

Q: Draw a machine diagram for the function.

A: To draw a machine diagram for the function                                                fx=3x-2…

Q: Which of the following is a graph of the function f(x)= 2 − 2x and its inverse, with the line y=x ?

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Q: Find y as a function of t if 64y" - 112у + 65y = 0, У(5) %3 3, У(5) 3 6. y =

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Q: 6. Determine the x-intercept(s) and the y-intercept of the function f: R R, f(r) = 3x-2 and sketch…

A: See the attachment

Q: - Find the domain of the following functions: a- y=2x. y = (x+1) c-y = - Vx+4 (3-х)

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Q: Find the natural domain and graph the functions

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Q: C. Sketch the graph of the following functions analytically. 8. f(x) = r2 – 4

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Q: Graph on a Cartesian plane the function h(x)= X-2

A: To graph the function hx=x-2

Q: Enter the letter of the graphed function. a.y=(x + 2)(x - 1)(x-3) b.y = (x + 2)(x - 1)(x - 3)² c. y…

A: Topic = Functions Correct option = d

Q: Find y as a function of x if x'y" – 9xy' + 25y = x", y(1) = 2, y'(1) = -5. y =

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Q: Find y as a function of æ if z²y" – 4ry' – 36y = 0, |у(1) — 6, у(1) — -6.

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Q: Evaluate y' of the given functions y = /3x + 4)(x + 3)

A: We can find the derivative as below.

Q: Find y as a function of t if 16y" – 72y' + 72y= 0, and y(4) = 9, y' (4) = 8. y =

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Q: Find the rule of the function associated with the following graph. y 15 10 (2, 10 ) 5 x -4 -2 2 4 6…

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