lim f(x) 1. lim f(x)--1, lim f(x) - 0. lim f(x) 1. (2) 1. f(0) is undefined

Q: f(-4) =1 and f (0) =0 f '(x)-3 f '(x)> 0 if x0; ƒ "(x)>0 if x<0 lim f (x) =- and lim f(x)=0 lim…

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Q: e the exact value of the function for the given x-value without using a calculator. ( ) f(x) = f(x)…

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Q: As x → -00, f(x) → 0 lim f(x) = +o∞ x→(-1)- lim f(x) = -o∞ x→(-1)* lim f(x) = –1 x→0 lim f(x) = lim…

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Q: 8. lim f(x) = 1, x→0 lim_ƒ(x) = −2, x 3- lim_ƒ(x) = 2, ƒ(0)=−1, ƒ(3) = 1 x+3+

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Q: ƒ(0) = 0, and ƒ'(−2) = f'(1) = ƒ'(9) = 0 ● lim f(x) = 0 and lim f(x) x →∞ x→6 • f'(x) 0 on (-2, 1)…

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Q: What is the domain of the following function?

A: Given f(x,y) =4-x2-y2 - ln(y-x) + sin(x)Let g(x,y) =4-x2-y2 h(x,y)= ln(y-x) and t(x)=sin(x)

Q: Continuous for all real numbers f'(x) 0 on (-6, 1) and (3, ∞) f"(x) > 0 on (-∞, –6) and (3, ∞ f"(x)…

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Q: Find all the numbers for which the function is discontinuous.

A: A function is discontinuous at a point if the functional value is not defined at that point. There…

Q: (x) > 0 and f"(x) > 0 for all x y y y

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Q: Give an example of a function with both a removable and a non-removable discontinuity

A: Example of a function with both removable and non - removable discontinuity

Q: Sketch the graph of the arbitrary function f such that

A: For all values of x &lt; 4, the derivative of the function fx is greater than zero or positive. This…

Q: x² – 4 Ax) xx – 2

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Q: f(1) = -2, f(0) = –1 lim f(x) = ∞, f'"(4) = 0 x→3 f'(x) 4

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Q: Sketch the graph of a function f having the given characteristics.

A: f(1)=f(3)=0 means (1,0) and (3,0) are two points on the graph. f'(x)&gt;0 for x&lt;2 means f(x) is…