Let if a < - 5 if -5 < x < – 1 3 if -1

Q: Let f(x) = x² - 6x and g(x) = 4 - x². ▪ (f+g)(4) = (f-g) (4) = (fg)(4) = (4) (4)

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Q: Let f(x) be a piecewise function defined by - 6x+ a if x - 3 What should be the values of a and b…

A: Continuity

Q: 4.- Let be the function f defined by the rule f(x) = 5x³ + 2x² - x + 10 Find f(x) in f(0.5) f(-4)…

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Q: If a function f is continuous for all real numbers and if х2 + 2х- ах —2а f(x) = when x a, then f…

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Q: If the function f (x) is continuous for all real numbers and if f (x) x²-4 when x + -2, then x+2 f…

A: f(-2) = -4

Q: x -4 ifx<2 Determine f(2) if f(x)= {2-x if 2 <x<4. x-2 if 4 <x

A: Given,           fx=x2-4if x≤22-xif 2&lt;x≤4x-2if 4&lt;xTo find : Determine f'+2.

Q: A function and its graph are given. Fx) = + 4x - 20x - 20 250 200 150 100 50 -10 -5 - 50 (a) From…

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Q: 1. Determine if the following relations describe a function. Justify your answer. a) R1 = {(1,8),…

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Q: For the given functions f and g, find the requested function and state its domain. f(x) = *2; g(x):…

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Q: f(x)=64² +3 g(x) = 45+2 h(z) = 16 (1024)

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Q: Let f(x) = 12x + 11 f-¹(x) = > Next Question

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Q: Determine the end (long run) behavior for the function below: f(x) = x - 3x³ + x – 1 Select the…

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Q: 9) Evaluate the piecewise function for x = -1 and x = 4. 2x + 1 if x 2 h(-1) = h(4) =

A: To evaluate the piecewise function for x=-1 and x=4.hx=2x+1  if x≤2x2-4  if x&gt;2h-1=?h4=?

Q: 5. Differentiate each of the following functions: a) (x+1)³(x-2)4 b) In x+1

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Q: The domain of the function 11x + 7 is I - 3 f(z) = %3D

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Q: 2. Evaluate the piecewise defined function at the indicated values. x2 + 4x if x s -3 Ax) = {x if -3…

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Q: Differentiate the following function. y=x(x5 + 5) 3 Choose the correct setup below to differentiate…

A: We have to check

Q: Compute each expression, given that the functions f and k are defined as follows: f(x) xm6 k(x) 2,…

A: Solution:   Given functions,   f(x) = 5x - 6   K(x) = 2   (fk)(x) = 10x - 12   (kf)(x) = 10x - 12