3. Write the algebraic representation of each piecewise function, using function notation. a) 4- y = f(x) y = f(x) 2- 2- X. T. 1. 6. -6 -4 -2 -2 2 -6 -4 -2 -2 -4- -4- -6- ×小 4. 4. 6 4.

Q: Use the following graph of f(x) to describe the behavior of f '(x). State where f '(x) is positive,…

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Q: 9. The mapping shows a relationship between x and y. y is not a function of x, since the y-value 3…

A: Given: A mapping showing the relation between x & y To determine: y is a function of x or not.

Q: 6.42. Describe the sets in which the functions below are positive. (a) f(x,y) = 1-x?

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Q: Below is the function f(x). 7- to 4 -7 -6 -5 f4 -3 -2 -1 1 2 3 4 5 6 -2 -3 -4 -5 -- =7 Over which…

A: For a given function , f'(X) represents the change in function value over a small interval. So, If f…

Q: -5 -20 -10 9- Which ordered pairs are included in f(x)? Included in f(x) Not included in f(x) 2.

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Q: Let k(x)=f(x)g(x)h(x). If f(−2)=−5,f′(−2)=9,g(−2)=−7,g′(−2)=8,h(−2)=3, and h′(−2)=−10 what is…

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Q: 1 2 7 12 3 3 3 15 3 4 7 1 9

A: Recall that a relation f (also called correspondence or rule) from a set of objects A to another set…

Q: Suppose that f(x) is a differentiable function such that f'(4)=6 and f(4)=4. If g(x)=xf(x), then…

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Q: 4. Select all the true statements about the end behavior of the function f(x) = -x*-5x .4 + 5x +3.…

A: Given :

Q: Suppose we have a function f(y)=2y-1 from positive integers to odd positive integers. Is this…

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Q: Below is the function f(x). 6- 4- 3- -7 -6 -5 -4 -3 -2 -1 4 -3 -4- -6 Over which interval of x…

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Q: of the following relations are functions? Select all that apply. {(1,– 4), (5,– 2), (-1,2), (– 1,…

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Q: Consider the following relation. VT -x- 6y = 5 Step 1 of 3: Rewrite the relation as a function of x.

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Q: 4. If F(x) = f(xf (xf(x))), determine F'(1) when f(1) = 2, ƒ (2) = 3, f'(1) = 4, f'(2) = 5, f'(3) =…

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Q: The domain of f (x) = -x + 4 is {0, 1, 2, 3}, what is the range? O {0, 1, 2, 3} O {1, 2, 3, 4} O…

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Q: Below is the function f(x). 5 4- 46 -5 -4 -3 -1 -1 2 3 4 5 -2 -3 -4 -6 -7+ Over which interval of x…

A: The graph of the function is given by

Q: Let k(x)=f(x)g(x)h(x). If f(5)=−9,f′(5)=0,g(5)=−3, g′(5)=9,h(5)=−8, and h′(5)=−4, what is k′(5)?

A: Given, k(x)=f(x)g(x)h(x). If f(5)=−9,f′(5)=0,g(5)=−3, g′(5)=9,h(5)=−8and h′(5)=−4

Q: State the restrictions on the domain of the function. (* +7)(x- 9) f(2) = (x - 3)(x +7) O x # 3 or 9…

A: Given function is fx=x+7x−9x−3x+7. We have to state the restrictions on the domain of the function.…

Q: Which value of az is NOT in the domain of the function G(z) - = 28 12-25 -?

A: Use the definition of domain  to find the value of x

Q: What is the range of the function g(t)=t^2 - 5 when the domain is defined as the set of integers, t,…

A: Find the range

Q: 3. Consider the relation f (x) = 2x² – 4. Find the f(x). Be sure to use proper notation.

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Q: 6- Do a complete analysis to sketch the following function. F(x)=2x-x²/x²-2x+1

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Q: 10) Suppose that the functions f and g are defined as follows. fx) = -5x² + 2x g(x) = 3x – 2 Find()…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3. Let f : A → B. Then 1gf = f and f14 = f. Hint. You may use the fact that fg, for functions f, g,…

A: Let               f1 : X→Y , f2 : X→Y be two functions, then we say that the functions f1 and f2 are…

Q: 20. Evaluate the function. 3. x - 8, ifx 1

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Q: 25 – 3 Evaluate the domain of the function h(z) = 3 - z2 - i

A: The domain of a complex function f(z), is the values of z for which the function is defined .

Q: Which best describes the mapping statements required to transform the function f(x) =…

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Q: Prove or disprove. The function f(2) = 2z – 3 – ze? + e=% is not entire.

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Q: 4. If f(x)= and g(x)=determine the domain of g(f(x))?

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Q: 20. Give a rule for the function {(0, 0), (2, -2). (3,-3), (4, a. y=x b. y=-x c x-y=0 P.

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Q: What is the end behavior of the given function? f (x) = 3V-x – 2 As x → 0, f(x) → -∞. As x → -, f(x)…

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Q: 4. Consider the function if x > 0 {2 if a < 0 g : R – R, g (x) = -2x2 Is this function bijective?…

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Q: 9. Given the functionf (x) = |x| + 4, state the domain and range. Domain: [-4, 0) Range: (-0, ∞) O…

A: Given function is  fx=x+4

Q: What is the domain of if x0 Give the range of f(x) = x< 0 A. (-00, 00) B. (-4, 0) C. (-4, 00) D.…

A: As per guidelines we have to solve three suboarts Since ist two question answer is not in option  So…

Q: Let f={(2,6) (3,8) (4,5)} and g(x)=3x+5 x, if g(x)=26

A: Here we have to find the value of x, where the value of g(x) is 26.   According to the question the…

Q: Given that A = {1, 2, 3, 4, 5} and B = {x, y, z}, determine which of the sets of ordered pairs…

A: 1.  i) This ordered pair doesn't represents a function because the values 'y' corresponding to x= 4…

Q: 19. If the original function Ax) = 2x² – 1 is shifted to the left 3 units to make the function g(x),…

A: Solve the following

Q: Select the choice that is a graph of the function a +3 f(x) = - 2- ( + 5)(*- 7) -17-11-10 -9 3 -7 -6…

A: Please see the explanation below

Q: 18. Use the vertical line test to determine if y is a function of x in the graph. Which of the…

A: The given problem is to check the given figure is the function of x or not using the vertical lines…

Q: Find the domain of the function. if x 6 O(-0, 0) U (0, 2] U (6, 0) O(-0, 0) U [2, ∞) O(-∞, 2) U [6,…

A: The domain of a function is the set of input or argument for which the function is real and defined.…

Q: x² – 4 Ax) xx – 2

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Q: c) Does the equality |A U B| = |A| + |B| hold for some sets A and B? d) Is the composition of two…

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Q: 20 Which value of æ is NOT in the domain of the function f(x) – 8x - ? 18

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Q: Give the domain of the function. z = 4x - 5y {(x, y): x and y are real and 4x - 5y = 0} O {(x, y): x…

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Q: 3. (a) If f:X→ Y and g: Y→ Z are functions and go f is one-to-one, must g be one-to- one? Justify…

A: Answer is NO  It is not necessary that if g∘f is one one then g must be one . But some time it may…

Q: VII. Given that the domain of a one-to-one function f is (-3, 4] and the range is(-1,5). 12.) State…

A: Please refer the attached image for complete solution.

Q: The domain of the function fx)=sech( -1 - 5) is (A, 60], k Then A+k ....

A: Given function: fx=sech-1xk-5

Q: Determine whether the function L:R2 → R2 г 13и, -11 и, 1 -11 и21 CH и, defined by L Зи, +9 и,

A: It can be observed that Lu1u2=13-1139u1u2 is a  matrix transformation which is always linear.

Q: 4. [App/10] fo the relation f(x) == x² - 2x determine f¹(x), graph both f(x) & f¹(x) and state the…

A: Solution

Q: 3. (a) If f: X→ Y and g: Y→ Z are functions and go f is one-to-one, must g be one-to- one? Justify…

A: