Suppose a smooth function f(x) satisfies f(0) = 0, f(1) = 2, and that f[x0,x1,x2] = 1  for any three points x0, x1, x2. Find this function f(x).

Q: f(x, y, z) = x-y y²+2y+z²-4

A: We have shown that the domain is all of R3 except the points on the surface of infinite length…

Q: Is there a real function f(x) that is differentiable only at a point x?

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Q: Draw the graph of the function f :R → R defined by f (x) = x3, x∈R.

A: We will make a table for f(x)=x3 x -1 0 1 y -1 0 1

Q: ) Is the function f(x) = differentiable on the open interval (-1,1)? x².

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Q: Let f(x) = m1x + a and g(x) = m2x + b, where m1, m2, a, and b are constants. Determine the necessary…

A: f∘g=g∘ffgx=gfxfm2x+b=gm1x+am1m2x+b+a=m2m1x+a+bm1m2x+m1b+a=m1m2x+m2a+bm1b-b=m2a-abm1-1=am2-1

Q: f(x)= 2x² – 8x- 3 on the given interval [1,3].

A: Given f(x)=2x2-8x-3 on [1,3]

Q: Find the absolute maximum/minimum of function f(x) = x3 - 16x + 1 %3D

A: fx=23x3-16x+1 to find the critical points take derivative=0 ddx23x3-16x+1=0 ddx2x33-ddx16x+ddx1=0…

Q: Determine which of the points in the following list lie in the domain of the function f(x, y) =…

A: Let's find.

Q: Let f(x) = 1+ V7x +1. Determine the largest possible domain of f(x) Select one: • [-1/7, +o0)

A: Given function is  fx=1+7x+1

Q: Let f = {(1,1), (2,3), (0, –1), (–1, –3)} be a linear function from Z into Z. Find f(x)

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Q: Let f(x) = 8 - x f-¹(x)

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Q: Show that the function x- 16 - f (x) = x + 4 4 - 10 x = 4 has a removable discontinuity at x = 4.

A: A real valued univariate function f=f(x) is said to have removable discontinuity at c in its domain…

Q: If f(x) = Vx +1 , g(x) = Vx – 1, find the domain of f +g. %3D

A: Domain is set where function is defined

Q: Let f be the function defined by ƒ (x) = x² − 12x³ + 48x² − 64x. Which interval is the graph of f…

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Q: Find where f(x) = 1-ax x(x-a)(x+b) is discontinuous.

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Q: Let a and b be real numbers. Consider the function y = f(x) = 1x² ax+b For which values of a and b,…

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Q: Let f (2) = 1 Find all the points where f (2)is analytic. z + 3

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Q: Define f(x ) = Vx2 +1 and g(x) = 2 – x2. State the domain of (f + g)(x ). x # v2, –v2 - [-1, 00)…

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Q: 2) Sketch the graph of the floor function f(x) = x+31 over the interval [-4,2].

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