(3) Consider the function defined as : R -> R>0 if laT 1 2 p(x) 0 if a> np(nx), and let Kn(x) be the restriction of pn to the For all integers n > 1, define pn(x) := interval (, . Verify that {Kn(x)}n>1 is an approximation to the identity

Q: 2. Sketch a graph of a quartic polynomial function y = fx) such that: € fu) > 0 when - 2 1

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Q: If  f′(x) < 0 for 1 <x< 6, then f is decrescent over(1,6) True or false and why

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Q: (-x if x < -2 4. Let f(x)=x² if-2<x<2 Compute the following function values: (0 if x ≥ 2 a) f(-3) b)…

A:

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A: Suppose f: z → z  is defined by         f = {  (x, 4x+5)  :  ∈z}        or    f(x) = 4x+5 : x∈z…

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Q: Suppose f(x) = f* (e True or false: The function f is strictly increasing. True False (612 - 1) dt…

A:

Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

A:

Q: 58. Show that if f is a function and z = x+h, then f(2) – f(x) _ f(x+ h) – f(x) Z - x h

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A:

Q: 1.) Let f(x) = 7 + What is f(3 + h)?

A:

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Q: i Which of the following functions have zeros at 1 and -2? (x + 4)(x+2)(x = } x + 3){x – 4) I. f(x)…

A:

Q: Let f(x) = x³ - x² – 54x + 2. Determine any critical points of

A:

Q: Compute f(5) (e) forthe function f(x) = x³.In(x+)

A: f(x)=x3.ln(x4)f(x)=4x3ln(x)Differentiatef'(x)=4x2+3x2ln(x)f'(x)=4x2+12x2ln(x)Differentiatef''(x)=8x+…

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A: