y=2(x+1)^2-5 is the given function one to one

Q: Find ƒ″(x )  for function. Then find ƒ″( 0)  and ƒ″ (2) ƒ(x) = 4x2 - 3x + 9

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Q: Suppose that f' (x) = 2x for all x. a) Find f(- 2) if f(0) = 0. b) Find f(– 2) if f(5) = 23. c) Find…

A: f'(x)=2xFormula∫xndx=xn+1n+1+C

Q: x2 – 16 Use the function f(x) = to fill in the table: x – 4 f(x) 4.5 4.1 4.01 Based on ONLY the…

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Q: 2. Match each function rule with the value that could not be a possible input for function. A. 3…

A: By definition, a function is a special case of a relation between the members of two sets. It is a…

Q: 3 of Which values make the functionf(x) = undefined? x² -9 (1) 0 (2) 3 (3) 3 and - 3 (4) 0, 3, and –…

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Q: Consider the function: h(x) = 5 for x ≤ -4  2x+ 6 for -4<x<2 5- x2 for x ≥ 2 A. h(−5) (B.) h(−4)…

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Q: Suppose that the functions q and r are defined as follows. q (x) =x-2 r(x) = 2x? + 2 Find the…

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Q: You are given two functions, f and g if - 2 1+

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Q: Find the domain and the range of the following function. x +3, for xs - 5 -1, for - 5< x<6 f(x)= for…

A: The graph of f(x) is shown below:

Q: Find the zeros of the function f(x) = 0.2x²- x - 4.1 to the nearest hundredth

A: fx=0.2x2-x-4.1

Q: Evaluate the function for the given values of x. -3 |- h (x) = { + 7 for x<-2 4x + 2 for -2<x<5 6.…

A: Given query is to find the value of function at indicated value.

Q: suppose f is linear of x and you know f(3)=5 and f(7) =-4. Find and equation for f(x

A: Since f is linear of x, so f is of the form f(x)=ax+b. Now the aim is to find the values of a and b.…

Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 7.…

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Q: Example Find the domain and range of the following functions : x +7 if - 35x<5 [2-x if 0 <x<2 x - 1…

A: (i) f(x)=2-xif 0&lt;x&lt;2x-1if  3≤x&lt;4(ii) f(x)=x+7 if  -3≤x&lt;5x2if   5≤x&lt;76-2xif   x≥7

Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."…

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Q: Find two numbers whose sum is 56 and whose product is as large as possible. [Hint: Let x and 56 – x…

A: using double derivative test to get numbers'

Q: Find two numbers whose sum is 58 and whose product is as large as possible. [Hint: Let x and 58 - x…

A: Here it is given that sum of two numbers is 58. We need to find the numbers so that it's product is…

Q: a) Find​ f(x) for the indicated values of​ x, if possible. ​(b) Find the domain of f.   f(x)=x3 for…

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Q: Find ƒ″(x )  for function. Then find ƒ″( 0)  and ƒ″ (2) ƒ(x) = 4x3 + 5x2 + 6x - 7

A: The given function is fx=4x3+5x2+6x-7. Obtain the second derivative as follows.

Q: Find the zeros of the function f(x) = x² - 9.4x + 15 to the nearest hundredth

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Q: 2x-1 if -2sX<5 If f(x) = find: (a) f(0), (b) f(1), (c) f(5), and (d) f(6). x -5 if 5<xs6 (a) f(0) =

A: We can solve this problem by taking the necessary function as below

Q: f f(x) = (x+ 1), find f'(1) 4 %3D

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Q: Given the function h(x)=*-4 and k(x)=-+4. 9. 3 а) State the domain of h(x) and k(x). b) Find and…

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Q: 6. How many negative real zeros does the function f(x) = 625 - + 8x2 - 20 200 - O O or 2 O 1 or 3

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Q: Find the Zeros of the function f(x) -1.9x² + 12x - 15.5 to the nearest hundredth

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Q: Given the function f(x)=(square root symbol)x+7 Find x when f(x)=12f   The x in the given…

A: Simplification

Q: Suppose that f(x) is an odd function and that f(-2)=4 Find the value of f(2)

A: Given data:     The given value of the odd function is: f(-2)=4.     The standard expression for the…

Q: Find the value of a and b in the function f(x)=ab^x, if f(-1)=15 and f(2)=5/9

A: Given function,                               f(x)=abx                               And  f(-1)=15…

Q: 37. For what value of the constant c is the function f continu- ous on (-∞, ∞)? [cx² + 2x_if x 2

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Q: 3x Determine the domain of the function h(x) – x(x² - 25) {si+x1z} O

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Q: Suppose H (x) = 6x-5. Find two functions f and g such that (f g)(x)=H(x). Neither function can be…

A: Given,  H(x) = 6x5 - 5

Q: Evaluate the function for the given values of x. -4x+6 for x <-1 h(x) = ²+3 for -1<x< 4 for x24 Part…

A: To evaluate the functional value of x:

Q: 4. Find in the interval notation the domain and the range of the function: (a) -4, if r3 (b) and…

A: Given, fx = -4if x &lt; -2x-2if  -2≤x&lt;33x-7if x&gt;3     (a) We have to find the domain and range…

Q: Evaluate the function for the given values of x. 5) (-2x - 5, for x < -1 Ax) = {x2 - 5,. 2, for -1…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: if x 6 a) Find f(-4), f(8), f(-2), f(6) b) Find the domain of f(x)

A: Given f(x)=5                             if x&lt;-212x-6                   if -2≤x≤5-2x+10…

Q: 14 Find the range of values of x for which:(x- 3)(x + 4)(x + 6) < 0. .

A: The given inequality is, x-3x+4x+6≤0 To find the range of the values of x. Since the given values is…

Q: The functions f, g, and h are given by f(x) x + 15, g(x) 4x+2, and h (x) =x-10. The value of (f…

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Q: Which of the statements correctly describe the graph of the function f (x) = 3z? – 2z³ + x + 2? O…

A: The degree of a polynomial is the highest power to which the variable is raised.  The leading…

Q: A function is shown below: x + 5 for r 2 What is the value of the expression f(-2) + 3ƒ(0) – f(6)?

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Q: Evaluate the function for the given values of x. -4x+6 for x<-1 h (x) = x+3 for -1<x<4 5 for x24…

A: Given h(x)=-4x+6for x&lt;-1x2+3for -1≤x&lt;45for x≥4

Q: A function is given by f(X)=x^2+X+5 find f'(2)

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Q: Let f :[-2,6] R be the function given by * if - 2sx<0 if 0sx< 2 4 -x if 2 sxs6. f(x) = 2.x For each…

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Q: Find two numbers whose sum is 42 and whose product is as large as possible.​ [Hint: Let x and 42−x…

A: We have to find numbers

Q: Find two numbers whose difference is 46 and whose product is as small as possible. [Hint: Let x and…

A: Given query is to find find two unknown number . The difference of both the numbers is given to be…

Q: Of 30 Step 1 of 2 09:1637 Given two functionsf(x) and g(x): fa) = 2x +2, g(x) = 3r- 2 Step 1 of 2:…

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Q: 60 - B = ๘ ๘

A: Given cosθ = 22

Q: 2. Determine the domain and range of h(x) =

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Q: The function f(x)= (5x+7)/(2x-5) is one to one.

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Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 4."…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: