If f(x)= [x-2x5 tx=5 0 1 O the limit does not exist 0 3 then m f(x) is 05

Q: 6. Let r(x) = 1 + 3r– 10 and s(x) = x- 2. Build a new function, 1(x), for which 1(x)=| State any…

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Q: The critical point of the function f(x) = a – 6x² + 16x + 13 is %3D - (1, –4) (-2,4) (2, 4) (-2, –4)

A: The critical point of the function y=fx is the point where f'x=0. The power rule of differentiation…

Q: f(x) = x* + x³ – 2x² For the above function state all intervals of x where f(x) is decreasing.

A: We know that if f'x>0 at a specific value of x, then the function f(x) is decreasing at those…

Q: 2. Find all values k that make this function continuous at x = 3. Зх — 9 - if x > 3 f(x) = x² – 3x…

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Q: If f(x) = x² - 2x +3 when x > 1, and f(x) = x when x ≤ 1, then f(2) + f(0) = 1 Do 3 -1 2

A: Given query is to find the value of the function.

Q: t. determine just one horizontal asymptote of f() by computing an appropiorate llmit. f(x)= V4x^+ qx…

A: Find the value for f(x) as x tends to inf.

Q: (b). Show whether (*) is continuous at *=-2, if (3x-2 for x = -2 S(x)=. x? - 4 х- 2 for x * -2

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Q: Q1: - Find C that make the function f(x) continuous f(x) = {| x +3 Сх+ 6 x 2

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Q: (x² + 8, if x4) Consider the function f(x) = Find the value of B such that f (x) is continuous at x…

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Q: (x2 + 3x f(x) = 3 – 6x if x -2 Check the continuity of the function f(x) at x = -2

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Q: x+7, -4 h er. f(0) = 7. f(1) = 8, f(2) = -5, and f(3) = -10, of b

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Q: What type of discontinuity occurs at x = 1 for the piecewise function? if x <1 if 1<x 3+ x h(x) =…

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Q: 2х + 14 if x – 3 2 if x = - 3

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Q: 4. Let f-(x) = g(x) = x-5, k-1(10) + 7 = 10 and h(x) = then find: b. Domain of h(x). c. (hof)(2). (Z…

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Q: f(2) = 4 and f(3) = 3. With this information, can you determine whether there exists a real number c…

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Q: Find the x that maximizes the function f defined as f(x) = x¹/2 - 2x 1/3 1/4 O 1/8 1/16

A: The derivative will be zero at the minimum and maximum points because the line turns to be parallel…

Q: Suppose f(x) = a and g(x) z2-100 Find a) f[g(x)] and b) domain of f[g(x)]

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Q: Fxy(x, y) is a monotonic and non-decreasing function of both x and y.

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Q: Find the absolute extrema of the function f(x) = x3 − 3x2 − 24x + 5 on [−3, 6], if they exist as…

A: We have to solve given problem:

Q: 4. Graph the piecewise function 3 if -1 2

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Q: f(x) =  x+6/x-6     o   x + 6 x − 6   where is the concavity of this function downward?

A: We are given a function f(x). We need to find the interval of concave down.

Q: An inflection point of the function ƒ (x) = 2x³ – 12x² – 24x −— 10 is at x= 01/1/20 O 01 O 3 04

A: The inflection point is a point in which the concavity of the function changes. It means that the…

Q: Suppose we have a function defined by f(x)={2for x>1,xfor x≤1. What is the value of f(1) ?

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