Let f(x) be a function; then which of the below item/s can hold? (you can choose more than 1 item) Oa. Vr, y: ( y) (f(x) = f(y)) %3D Ob. Vz, y: f(x) = f(y) → # y Oc Vr, y: f(z) # f(y) → # y d. Vz, y: (z y) → (f(x) = f(y)) O e. Vr, y: (f(x) = f(y)) -→ (z = y)

Q: Evaluate the composite function given that f(x) = 3x +5 and h(x) = Vx+3. (fo h)(6) (fo h)(6) =…

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Q: If f(x, y) = 1 then 3(3x–2y) * is given by: | O None of these 4 (3x-2y)3 (3x-2y)3 - (3x–2y)³ 4 -…

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Q: 2x²-3x+7 7. Let f(x) = _ Find f(3). 5x2-2x

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Q: Suppose the point (5, a) lies on y = f(x), the point (b, c) lies on y = g(x) and the point (2, -8)…

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Q: Estimate f(-1.01, 2.01) given that f(-1,2) = -2, fa(-1,2) = -3 and fu(-1,2) = -5. f(-1.01, 2.01)

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Q: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(x + 1) + 2

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Q: If y = f(x) in the figure, find the following. y 12 (9, 10) 10 8 (5, 6) 4 2 -6 -4 - 2 4 8 10 12 -4…

A: Let's find.

Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(1/2x)

A: Given, The graph of y=f(x) is We have to find the graph of a function  g : g(x)=f(x/2) using…

Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(-x)

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Q: e following function: Find fyy. Points fyy = || f(x, y) = 5x4y6x4y5 - 21

A: The given function is f(x, y)=5x4y6-x4y5-21 . We have to find fyy .

Q: -B -2 4 3 2 WH + 2 --3- -4 Y 2

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Q: Exercises (1.9) Find the domain and the range for cach of the following functions: (1) y = (2) y =…

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Q: a) Find the local extreme values of the function f(x,y) = 2xy – x² – 2y2 +3x + 4. %3D

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Q: Example: find the extreme values of the function f(x, y) = xy – x² - y² – 2x – 2y + 4

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Q: Find fx and fy for f(x, y) = (1 - 2x + y)ex+2y Select one: a. None of these b. fx = c. fx (2 + x -…

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Q: If f(x) = v(x - 1)/ (x - 9), then the domain of f is given by the interval A. (1, +00) B. (-3, +3)…

A: The given function is  f(x) = sqrt[(x - 1)/(x2-9)]

Q: 2. Determine the domain of the function. ア= Nx-2 %3D O {x ɛ R} O {x ɛ R, x 2 2} {y ɛ R, y 2 0} O {y…

A: topic - domain of a function

Q: How can you display the values of a function ƒ(x, y) of two in-dependent variables graphically? How…

A: For a  function ƒ(x, y) of two in-dependent variables. It can be plotted graphed using 3d plotting…

Q: If f(z) = u+iv is an analytics function.where u and v are conjugate function. Given one of these say…

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Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(x) + 1

A: g(x) = f(x) + 1 Using the graph of y we need to draw the graph of g(x).

Q: B. Let f(r) = and g(x) = VI+I. 1. Determine the domain and image of f and g.

A: on finding the domain and inage or range of the given functions we will get

Q: f(-1,–5)= f(-5,–1)= f(0, 0)= f(5, –5)= f(t, 2t)= f(uu, и — v)-

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Q: 1) Draw the graph for the function Y = x3 and then find (Df) & (Rf). 2) Draw the graph for the…

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