Calculus I Activity Some Definitions & Chain Reaction Name: Denait Araya 1. Fill-in the three blanks below using the symbols <,S,>,2,=, or #. A functionf is increasing on an interval (a. b) if for any x1,X2 E (a, b) with x1 < x2, thên f(x1)f (x2). fcx) I a X, 1. A function f has a local maximum f(c) if there is an interval (a, b) with c E (a, b) and for any x E (a, b) with x # c, then f (x)_f(c). fe) fel III. A function f is concave up on an interval (a, b) if for any x1, X2, X3 E (a,b) with f(x3)-f(x2) f(x2)-f(x1) X1 < x2 < x3, then X2-X1 X3-X2

Q: Please answer question and asapjust tell which option is right

A: From the graph,    P(x) &lt; 0   For x belongs to (- ∞, -1) and (-1, 1)

Q: 6. Let f(x) 1 Determine f(n)(x) 1- x

A: We have to find the nth derivative

Q: question is attached to image below

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Q: 2. f(x) = {(1,2), (3,2), (4, -2), (6, 2)}, g(x) = {(-3,3), (-2,4), (-1,1), (0,4)}

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Q: Suppose that the functions g and f are defined as follows. g (x) = 3x-4 f(x) = 4x-2 %3D (a) Find…

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Q: Recall that a function k: X→ Y is injective if k(x)=k(y) implies x = y. Let f: A→ B, g: A→ B, and h:…

A: Questions: Recall that a function k: X → Y  is injective if  k(x) = k(y) implies x = y.Let f: A → B,…

Q: 1. If f(x) = x + 5 and g(x) = x – 5, (a) f(g(x)) = (b) g(f(x)) (c) Thus g(x) is called an function…

A: Note: According to our answering guidelines we have to solve only one question (if multiple…

Q: EXAMPLE 6 Composing Functions Given f(x) = x + 2x and g(x) = x – 4, find a. f(g(6)) b. g(f(-3)) c.…

A: Given fx=x2+2x  ;  gx=x-4

Q: ring Progress Help in English and Spanish at BigideasMath.c Evaluate the function. (3. if x 5 3. (0)…

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Q: Consider the following function. f(x) 108 2

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Q: If f(x) = ax + b is a linear function with inverse f-1(x) then one has that f-1(x)= cx + d, also a…

A: Answer

Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: g(x)=

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Q: for r 2 Evaluate the following: (a) h(-5) (b) h(-4) (c) h(-2) (d) h(-1) (e) h(0) (f) h(1) (g) h(2)

A: Given that: h(x)=5                for x≤-42x+6        for -4&lt;x&lt;25-x2         for   x≥2

Q: (c) Find, if any, the solutions of fg(x) = gf(x).

A: Given f( x ) = x2 - 2 g( x ) = 3x - 1

Q: Use the table to evaluate each expression. 1 2 3. 4 6. f(x) 1 4 6. g(x) 2 4 3 6. (a) f(g(1)) (b)…

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Q: Please show your work

A: Step 1:Step 2: Step 3: Step 4:

Q: Determine whether or not the following expressions are valid, i.e., whether the left- and right-hand…

A: In any two complex numbers, if only the sign of the imaginary part differ then, they are known as…

Q: 140 CHAPTER 3 Functions tab B 49. Let f(x) = (x - a)/(x + a). (a) Find f(a), f(2a), and f(3a). Is it…

A: f(a)=0f(2a)=1/3f(3a)=1/2Explanation:Hope it helps youplease ask if you gets any doubtplease give…

Q: Find i(x) and maph the diagram

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Q: Evaluate the function f(x) = x + 9x+3 at the given values of the independent variable and simplify.…

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Q: 6 and g(x) = X find the following functions For f(x)= X a. (fo g)(x), b. (g o f)(x), c. (f o g)(7),…

A: Given,

Q: What is the discontinuity of the function f(x) = х? -3х- 28 , x+4 O (-7, -14) O (7, 0) O (4. –3)…

A: We will find the point of discontinuity.

Q: Suppose the functions F: R→R and G: R→R are defined by these formulas: F(x) = x² + x and G(x) = 3x…

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Q: Proficiency #1. [Statements] Which of the following sentences are statements? Do not worry about…

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