Determine the numbers at which the function is continuous. 1. f(x) = x?(x + 3)² 2. f(x) = (x – 5)³(x² + 4)5 3. f(x) = x- 3 x- 2 4. f(x) = x2+2x-8 if x < 2 if 2

Q: 1. f : R → R such that f(x) = 6x + 42 2. f : Z → Z such that f(x) = 7x + 34 3. g : R → R such that…

A: Four real-valued functions are given to check their functional behavior.   NOTE: Kindly note that we…

Q: D. Differentiate the following. a. f(x) = 4x³ – 5x² + x + 8 b. g(x) = x" -* -*+* + vZ c. h(x) = v9x°…

A: (a) To find: The derivative of fx=4x5-5x3+x+8. Formula used: Power rule of derivative: xn'=n·xn-1…

Q: -3z + 4, a < -2 22 - 2, 2-2 18. If f(x) = find f (-2). || A. 10 В. 2 C. -2 D. -6

A: Given function is fx=-3x+4, x&lt;-2x2-2    ,x≥-2.

Q: Differentiate the function. y= (4x4 - x+ 2) (-x5 + 1) Choose the correct setup below to…

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Q: 5. State the direction of opening of the function g(x)= 3x²-x4 - 4

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Q: For the function f(x) = 5x° -4x +2x + 3, findf "(x). Then find f"(0) and f"(4). f"(x) = Select the…

A: Double derivative

Q: АСTIVITY 2 Direction: Read each instructions carefully and answer as required. A. Differentiate the…

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Q: 7. For function f (x) = 2x2 – 5/2x + 3. a. Find x_intercept. b. Find y_intercept. c. Find axis of f…

A: As per our guideline we are supposed to answer first three subparts.kindly repost other question.…

Q: 1 may be viewed as a composite function h(x) = f(g(x)). Find f(x) and g(x). The function h(x) = (7x…

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Q: Determine the domain of each function. x2 - 25 x² - 4 79. f(x) 80. f(x) x - 5 x + 2 x3 x* + 7 81.…

A: To find the domain: f(x)=x2-25x-5. Solution: We know, a rational function is defined for all real…

Q: 1. f(z +h) – f(x), h #0 : f(w) – f(x) r h - 2. ', x # w : -3<x3 w - x

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Q: (x² + 1 if x -1

A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)…

Q: 4) Suppose that x thousand units of a product will be sold when the price is p(x) = -2x + 31 dollars…

A: Please see the explanation below

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: 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: 1. Let f(x)=x^2-4x+3 Calculate f(x+h). Show all work.2. Let f(x)=x^2-4x+3. Calculate f(-x). Show…

A: I see that there are four questions mentioned here and as there is no information regarding which…

Q: On what interval(s) is the function f(x) = x99x8 + 5 both decreasing and concave up? (Enter your…

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Q: Consider the following function. f(x) = 5x/7^√2x+5 (a) State the domain of the given function using…

A: The given function is: fx=5x72x+5. To Do: (a) State the domain of f(x) using interval notation. (b)…

Q: 5) For functions f (x) = x² – 15x + 45 and g(x) = x - 9, find |(x)

A: f(x)=x2-15x+45, g(x)=x-9, (fg)(x)=?f(x)=x2-15x+45  g(x)=x-9  Now fgx=f(x)g(x)             [Quotient]

Q: Evaluate the following: 1. f(-2)= 2. f(-1)= 3. f(5)= f(x) = 2 x² + 2x x + 3 if x -1.

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Q: Let f(x)=6x+1 and g(x)=5-x^2 , find (f o g)(x) a. x^2 b.-6x^2+30 c.-6x^2+31 d.-36x^2-12x+4 e.…

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