Sketch the graph of an example of a function f that satisfies all of the given conditions. lim f(x) = 0, lim f(x) = 1, lim_ f(x) = 3, f(-1) = 4, f(2)= 2 x-1+ X-2 -4 -4 X→-1- 2 ● y 4 3 2 1 y 4 3 2 1 4 3 2 Alh 1 -4 2 -1 2 2 4 X y 4 3 Th 2 1 -2 2 4 4 X X i

Q: Draw the graph of f(x) and discuss its differentiability at x = 1

A: It is given that fx=x2x≤1xx>1. Recall the fact that formula for derivative of a function f at a…

Q: 5. (a) Define piece-wise defined function. The function f is defined as x + 3, 5, (-x + 2, -2 2 f…

A: The objective is to define piecewise defined function and find the domain and intercepts of f and…

Q: Question 4 What is true about the function f(x) = a) f(x) → from above b) f(x) → from below c) f(x)…

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Q: Use Calculus to find the absolute maximum and the absolute minimum of the function over the…

A: Given function f(x) - f(x) = x3+x2-x+1Differentiating with respect to x to find the critical points…

Q: The graph of function f(x) = x³ 6x2 + 9x + 1 is concave upward on (-∞, 2) (-0, 0) (2, оо) о (-2, 2)

A: f is concave up when f''(x) is greater than 0

Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

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Q: Let f(x) = 8 - x f-¹(x)

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Q: Sketch the graph of f (x) = x 2 + 1 over the interval [-2,2]

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Q: Suppose f is a function with f(2)=5 where for all interval > 0, there is some δ > 0 such that if x…

A: Answer

Q: Assuming f of g = 1/x + 1 and if g(x) is x +1. Find f(x)

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Q: Identify the original function f(x) and what value of c to evaluate f'(c). (3x-9x²)+(42) x+2 lim…

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Q: Let f(x) = −3x² + 1 1 X3 + −xª. Find all local and absolute maxima and minima of f.

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Q: 4) Find fog, gof , f+g and fg where f (x) = x^2 + 1 and g(x) = x + 2, are functions from R to R

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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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Q: 5+x if x > 1 if – 2<x< 1 if x < -2 (A) ƒ(x) = {2 1– x2

A: According to the given function, fx=5+x, if x≥1 Thus, for x≥1, the graph of the function is a part…