Evaluate the function f at the indicated value. 6x + 7, if x s0 f(4) for f(x) = 4- 3x, if 0< x < 3 x, if x 2 3 B) 4 A) 31 C) 3 D) -8 Use transformations of the graphs of y = x2 to sketch a graph of f by hand. f(x) = -4(x+ 3)2+ 1 A) B)

Q: 3.23 Prove or give a counterexample: The function |f| € R[a, b] + ƒ € R{a, b].

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Q: The function y= f(x) is graphed in the xy-plane and crosses the x-axis at 5 distinct points. Which…

A: The number of roots of the equation can give the total number of times the curve intersects the…

Q: 3 Let fw:2x-y, Find a function y= 9c So that f. 9) (x) = X+ 2.

A: Given f(x)=2x3-4 and f∘g(x)=x+2 We know f∘g(x)=fgx

Q: 人 そはっけ)ことス,ソフ ク=ム Cうk CurlF 支ド = 22 ズ 0y a2 %3D -> (-出)5+ (号-)k !! よいF (ス)+ C)+塩(の)こ2 ニ Find a…

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: 1. Find and sketch the domain of the function z = f(x, y) = - x² + y² – 6x – 27. Then sketch the…

A: Domain of a function z=f(x, y)  is the values of (x, y) for which the function is defined Consider…

Q: Use the given graph of f(x) = x² to find a number d such that if |x - 1| < 8 then Ix2-1| <극. (Round…

A: use the graph for finding the value of delta.

Q: 3. Use the graph of y = f(x) to graph y = -f(x – 4) – 1. 3 y = f(x) -5-4-32-1 1 2 3 4 4. Determine…

A:

Q: Consider the function f(a) = \x| on the interval [-2,2). 2 2. Since (-2)-f(2) = 0, there exists a…

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Q: Given f(x) = and g(x) = The domain of (fog)(x) is: %3D A) (-o, 00)-(-2, 2). B) (-0o, 00) -{-2, 1).…

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Q: Q.1 A-Find and sketch the natural domain of f(x, y, z) In(2-x2-y2)

A: You have ask multiple  questions  but not specifiy any particular  questions  so , according to…

Q: HW 1-Find the domain for each function : (1) f(x,y)=Vy-x-2 (2) f(x,y)= In(x²+y² -4)

A: We have to find the domain from the given functions

Q: 1. Find and sketch the domains of the following functions. (a) f(x,y) = /2x – y (b) f(x, y) = V1 –…

A: Note: As per our company guidelines, we are supposed to answer the first three sub-parts of the…

Q: 2. Refer to the function p(x) = x². (a) Suppose r(x) = p(x+3) – 2. Describe how p(x) is transformed…

A: As per our company guidelines, we can solve first question for you. If you want other questions to…

Q: Use the given graph of f(x) = x² to find a number 6 such that if Ix - 1| < 8 then |x2 – 1| <. (Round…

A: Given: fx=x2 and graph of function as To find: The number δ such that if x-1&lt;δ then x2-1&lt;12.

Q: b) Given the graph of y = f(x), sketch the graph of the transformed function (r(x) = f(x +4) – 3).…

A:

Q: 1. Let X be the graph of f(x) = x²/3 given below that is, X is the subset of R x R satisfying the…

A: Sol

Q: sketch the graph of the given function on the interval t ≥ 0. 1.g(t) = u1(t) + 2 u3(t) − 6 u4(t)

A:

Q: 2. Consider the function f(t) expressed in terms of unit step functions, f(t) = (4t - t) U(t) + (t –…

A: For a piecewise function f(t) expressed asf(t)=f1(t)0&lt;t&lt;af2(t)a&lt;t&lt;bf3(t)t&gt;bcan be…

Q: 1.) Given the function f(x,y)= 2+y=x² find and sketch the domain of f.

A:

Q: Which of the following is true for the interval (2,0) for the graph of fAx) shown below? 5+ 4 3 -5…

A: This question can be answered by considering the slope of tangent at any two points in the given…

Q: The graph below represent the domain of the function O f(r, y) In(1 -+y) Of(r, y, z) = VI+y-1 Of (r,…

A: The given graph represents x+y&gt;1. The domain of ln(1-x+y) is 1-x+y&gt;0⇒-x+y&gt;-1⇒x-y&lt;1. So…

Q: Which of the functions graphed in Exercises 1–6 are one-to-one, and which are not?

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: .a Is the function a.EVEN b. ODD f(x) = |x|, π<x< T

A:

Q: 2. Let f a function such that f (-2) = 6, f (0) = – 3, ƒ (3) = 0. Give the coordinates of three…

A: Select the values of x such that  (x + 4) becomes the number for which values of  f(x) are given.

Q: sketch the graph of the given function on the interval t ≥ 0. 4.g(t) = (t − 1)u1(t)−2(t − 2)u2(t) +…

A:

Q: 17) What is the domain of the function f(x) = E, 6"z"? %3D

A: Given that fx=∑n=2∞6nxnTo find : Domain of functionSolution :fx=∑n=2∞6nxn=∑n=2∞…

Q: Given the function f (x) = vx – h + k has a domain of[-5, ∞0) and range of[8, 0) which of the…

A: Given,         The function fx=x-h+k has a domain of [-5,∞) and range of [8,∞).          The…

Q: 4. Let f(x) = vx – 2; a = 2. a) Show that f is a one-to-one function, b) Find (f-1)'(a), c) Find…

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Q: a) Consider the function f(x, y) = /In (4 – x² – y?). Find the domain and range of f(x, y).

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Q: Consider the function h(x), for which h(2) = -6 and h'(2) = 1. %3D h(x) Find f'(2) for the function…

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Q: A/ Derive by definition: y = Vx - 3 ? B/ Determine the value of (z) and (k) that makes the function…

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Q: 11. Use the given graphs of f and g to evaluate (5f(x)+3g(x)) dx |x=4 5- y = f(x)/ -4- y = g(x).- 2-…

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Q: Let f(2) = (2² – 2x + 3)° and 9(æ) = f¯1 (x) . What is the slope of the curve g(x) = ƒ' (x) at the…

A: fx=x2-2x+32 and gx=f-1x.

Q: Based on the graphs of f(x) and g(x), what must the domain of (f. g)(x) be? 10 8 7 6 5 2 g(x) 1…

A:

Q: The position of a mysterious object in space is represented by the given function f(x, y) = 2x² +…

A: differentiate the given function with respect to x and y partially ∂f∂x=4x+2y+0+2 =0 ∂f∂y=0+2x+2y+0…

Q: 3. Sketch the domain of the following functions: a) f(x,y)= 1-x-2y et² + y² - e b) f(x, y, z)= xyz…

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Q: HW/ OFind a, b to Continue The function at x= 3 it ax+b f(x)= 2 a-b+1 bメ-a+3 メくる X 3

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Q: Write an equation of the form f(x) = a* +b from the given graph. Then compute f(2). Ay f(x) (1,5.3)…

A: Given that we need to write the equation of given graph in the form  f(x) = ax + b   Now,  Since…

Q: use the graph of y=f(x) to graph g(x)=-f(x-1)-1 given the coordiantes (-4,0) (-2,-2) (0,0) (2,2)…

A: we have been given the coordinates (-4,0), (-2,-2), (0,0), (2,2), (4,0) for the graph y=f(x) first…

Q: 5. Find and sketch the domain of the function z = f(x,y) = /2y - x². %3D

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Q: 6. (6) x - 2 Given h(x) = Vr+3 and j(x) = find E) (r) and determine %3D %3D r2 – 9 the domain of the…

A: Here we have to find domain of given function.

Q: 1 a. Find and sketch the domain of f(x, y) = x+ y

A: consider the equation

Q: Show that a function f : [0, 1] →R is determined by its graph Gf = {(x, f(x)), x E [0, 1]} C R².

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Q: Find the domain of the function f (x) = x2-1 R+ R. (-1,1) R\{-1,1}

A: Givenf(x)=xx2-1

Q: Consider the graph of the function f(x) = 2x" + 15æ² – 36z +2 on the interval-6 SI2. 274.4- 205.8…

A:

Q: ii) Assume that for some functions f(x) and g(x), it is given that (fo g)(2) = 10 and that g(2) =…

A: Given  The composite functions are given by Plugging the values,

Q: Assume that f'(4)= -7, g'(1)=1/5, g(1)=4, and y=f(g(x)). What is y' at x=1?

A: The given values are f'(4)= -7,  g'(1)=1/5,  g(1)=4 .And the function is y = f ( g ).

Q: What is the domain of the function y-x? Hint: This question goes with assignment 7 in Canvas. -8t 7-…

A: The given function is: y=x

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.