2) Let f be the function given by f(x) = 7xe¹*. a) Find lim f(x) & lim f(x). X118 818 b) Find the absolute minimum value off. Justify that your answer is an absolute minimum c) What is the range of f?

Q: 3) Consider the function f(x) = VI+: a) Write its domain. Find lim,→0+ f(x). b) Find intervals of…

A: The function, fx=x+1xa To write its domain. To find limx→0+ fx.b To find the intervals of increase…

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Q: Using the graph above, evaluate the following : a) limf(x) X-0- b) limf(x) X-0+ c) limf (x) X-0 d)…

A: The graph is given below:

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Q: Find the composition and specify its domain using interval notation

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Q: I) Graph of f(x) is given on the right. Answer the following questions using the graph. a) lim f(x)=…

A: Given: The graph of function fx as, To find: (a)limx→-2+fx (b)limx→-2-fx (c)limx→-2fx (d)f2…

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Q: 2x 1 if x 2 . Sketch the graph of f(x) = x 4. a) lim f(x) X-2 b) lim f(x) x-2+ c) lim f(x) X-2

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Q: 1) The equation x² – y² = 36 implicitly defines the function y(x). We are interested in y(-8) > 0.…

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Q: a) Domain f(x) 51 b) Range 4- c) X- intercept(s) 3 2- d) Y- intercept e) Intervals over which the…

A: We answer questions from the given image.

Q: Determine the values of a, b, and c for the function f(x) = ax² + bx +c, that satisfy the following…

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Q: Given f(x) = Vx and g(x) = |x – 2|, find 9. Determine the domain of the function in interval…

A: Given function :

Q: х — 5, for a 3.

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Q: 2. f (x) 3 - 2x² if xくQ こ 2 メ if x 2 2

A: f(x)= x3-2x2 ; x<22-x ; x≥2       a=2 , if f is differentiable , then f'(2) should be finiteusing…

Q: f(7+h) – f(7) lim h>0 h here f(x) = 7r +4. If the limit does not exist enter DNE.

A:

Q: 1) Use the graph of f below to estimate the following: m 0 -1+ % 4 a) lim f(x): x-1 b) lim f(x)= c)…

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Q: 4) if f(x) = 2-x. g(x) = {² Find: f(g(0)). 9(f(0)), :-2<x<0 1; 0≤x≤2 g(g(-1)), (fogof)(1)

A: We are given composition of functions f and g. We have to calculate the values of these compositions…

Q: if xs1 S(x)=D{ x-9 1<xs4 4 < x< 9 -3x+3 MO 8 64 夏 0 4. -6 8 10/- a) Graph f(x). b) Find f(1). Show…

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Q: 5) Find the following limits: A) lim ( C) lim √2x (x-1) E) lim ¹ G) lim A (+1) B) lim h sin(3y)cot…

A: L'HOSPITAL RULE OF DIFFERENTIATION-: if we have limx→afxgx has indeterminate forms like…

Q: ) If g(x) = x³, then lim x-2 g(x) x - 2 - 12

A: Given query is to find statement is true or false.

Q: The function p(x) is defined by this table of values. X p(x) -2 4 -1 2 0 0 1 -2 -4

A: Given that x=-2⇒p-2=4 x=-1⇒p-1=2x=0⇒p0=0x=1⇒p1=-2x=2⇒p2=-4