The function f(x) = 4 for x < 2 and f(x) = 4 for x 2 2 has domain of all the real numbers. To True O False ere to search

Q: Thus, for f(x): %3D x2 - 9 , if x 0 f-x) = %3D if x = 0

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Q: Show that f(x) = x3 - 2x - 1 has a real zero between 1 and 2.

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Q: If the bound of error greater than zero, the polynomial is------than the .function not equal O its…

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Q: Let f(x) = x7 Then f'(x) is 5æ5 + 3x³ – 3æ – 4. За — - - f'(3) is f' '(x) is and f''(3) is

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Q: Show that f(x)= x3 + 3x + 1 has exactly one real root

A: fx=x3+3x+1i fx is continuous on -1,0ii f-1=-13+3-1+1           =-3&lt;0  f0=1&gt;0Therefore by…

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: Show that if f (2) = 5 and f' (x) ≥ 10 for x &gt; 2, then f (x) ≥ 10x − 15 for all x &gt; 2.

A: given, f (2) = 5 and f' (x) ≥ 10 for x &gt; 2, To prove- f (x) ≥ 10x − 15 for all x &gt; 2.

Q: If f(x) = -5 x + 12/x then f(3) is equal to:

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Q: If f(x)-x2 for all real numbers, what is f-1 for x>4?

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Q: In the function:  f(x)= (5x)/((x^2)-25  How do you find the x-values of the inflection points?…

A: Given function is,

Q: 2 If f'(x) = 3x2 - and X f(1) = 0, find f (x)

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Q: Find the absolute maxima and minima for f(x) = x – 48x + 15 on [0, 5] -

A: Maxima minima problem....

Q: If f(x) <0 for all real numbers x then f is decreasing or increasing on its interval?

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Q: Find if f (x) = 3x* – 4x3 has any absolute extreme value/values in (-2,+00).

A: Givenf(x)=3x4-4x3To find Absolute maximum and absolute minimum values.

Q: domain of f(x) = 2 x + 1 is { -2≤ x ≤3}, which integer is NOT in the range?

A: I

Q: Suppose that f(x) = 4e"- ex. Find f'(3). %3D

A: we will first find out the derivative of f(x) and then we put x=3 in the derivative to get f'(3).

Q: 1 show that f (-2) = f(2). 4 If ƒ(x) = x" 4

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Q: Find the extreme values of on [-2,2]. f(x) = Sre™, x 0

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Q: Describe the long run behavior of f(x) = – 3(x + 4)(x – 4)°(x + 2)²: - - As x → 0o, f(x) → 7 ? As x…

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Q: The function f(x) = 4 for x<2 and f(x) = 4 for x2 2 has domain of all the real numbers. True O False

A: The given function is a constant function. We find it's domain by using the definition of domain of…

Q: Find the domain of the function. h(x) = Inx+In(2-x). Express your answer in interval notation.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Suppose that f( – 4) = 4 and that f'(x) = 4 for all x. Must f(x) = 4 for all x?

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Q: 4. Given that f'(x) = −6x² + x + 12 and f(1) = 7, find f(x).

A: Given : f'(x)=-6x2+x+12f(1)=7   To Find : f(x)

Q: 7. Find the domain of f(x) = V² + 2x – 3 and write it in interval notation.

A: The solution is given below.

Q: Suppose f' (x) = 0 for all x. Which statement is true? the function equals 0 for all x. the function…

A: Derivative of a constant is always 0.

Q: Evaluate f(x) = 8-X at x = 2. f(2) =

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Q: • The domain of f (x) 3-х is 1+x2 1. R 2. R/{1,-1} 3. R/{3} 4. (0, 00)

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Q: 48. If f(2) = 10 and f'(x) = x²f(x) for all x, find f"(2).

A: Given f'(x)=x2f(x)We know that (uv)'=uv'+vu'f''(x)=2x*f(x)+x2f(x)

Q: 1. Let f (x) = 2x² – x – 1 and let g(x) = x – 1 Which statement is true?

A: Given, f(x)=2x2-x-1 and g(x)=x-1

Q: Suppose that 3 <f"(x) < 5 for all values of x. Show that 18 < f(8) – f(2) < 30.

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Q: Prove that f(x)=4x-2^2x has at least one real zero in the interval [1,2] without actually solving…

A: The given data is: Prove that fx=4x-22x has at least one real zero in the interval 1,2 without…

Q: What happens to function f(x) ( 1+x2) 1/x2 as x approches to zero

A: The restrict of a feature is a essential belief in calculus and evaluation that describes how the…

Q: The domain of f(x)=x+9/x-4 is all real numbers except for.

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Q: suppose that f'(x)=2x for all x. Find f(8) if f(-2)=2

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Q: Discuss the continuity of the function f(x) = {x^2 - 3x         if x &lt; 2           {2x + 4…

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Q: Suppose that f'(x) = g'(x) for all real numbers. Explain why there is a constant c so that f(x) –…

A: We need to show that why there is a constant c so that f(x)-g(x)=c for all real numbers.

Q: Find a function for which f'(x) exists for all real numbers but f"(x) doesn't exist for all real…

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Q: (i) Show that f(x) = 6x³ – 2x2 + 4x – 3 has exactly one real root. (j) Show that f (r) = x + 2x5 +…

A: Given: i. fx=6x3-2x2+4x-3ii. fx=x7+2x5+3x3+14x+1 To Show: Given equation has exactly one real roots.…

Q: Suppose k>0. What is the domain of F(x) =/k² – x² ?

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Q: On what interval is f (x) = 6 – 2x negative?

A: Given Function is f(x)=6-2xSo, f(x)=6-2x&lt;0 (∵ need to find negative interval)

Q: Suppose that 4 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of…

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Q: ) Show that |2x - 2|-|x+1| +2≥0 for every x € R.

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Q: Suppose that ƒ'(x) = 2x for all x. Find ƒ(2) if ƒ(1) = 0

A: We have, f'x=2x Integrating both of the side with respect to x, we get the result as…

Q: Find f"(3) if Ax) = X-2.

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Q: Find the domain of 4/(3x^2+x-1) in interval notation

A: Consider the given function.

Q: х Use the Intermediate Value Theorem to show that f (x) 4 has a solution on 2. (-10,-7)

A: The given function is as f(x) = x/2 + 4

Q: What is the absolute max and min values of f(x)= x²ex on x€[-5,1]

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Q: What are the critical points for the function f(x) = 2x3 2a – 9x? – 108x + 5 x = 3 and x = -6 x = 2…

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Q: x^2 + 1/x^2 > 2

A: Here we use a property of real number which is square of any real number is non negative.

Q: 3 Let f(x) = 4.x² 5 and g(x)= 3.x + 7, find. -

A: