If h is defined by  h(x) = |X| + 2, What is the range of h if the domain of h is the interval [-8,2)? What is the range of h if the domain of h is the set of negative integers

Q: Generate the graph of f(x) = x + 2x + 3 with a graphing utility, and use the graph to find a number…

A: Here to find δ, we can use the epsilon delta definition of continuity which states that: f(x) is…

Q: Find k such that f(x) = x3 - kx2 + kx + 2 has the factor x - 2.

A: The general polynomial equation of degree n  is an equation of the form…

Q: f(x) = 2x + 3x 12x: -3, 21 12.x:

A:

Q: f is a function of all real numbers defined by f(x)=x2, what is f-1({x |0<x<1})?

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Q: 5. For the given functions f(x) = , g(x) = x + 2, find and its domain in interval notation. x-8

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Given that, f(x) = 2x3 - 3x2 - 12x + 1. F (a) the intervals on which f(x) is increasing

A: Given: f(x)=2x3-3x2-12x+1

Q: 1. Use the given graph of f to find a number 8 such that |x - 1|< 8 | (x) – 1| < 0.2 if then

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Q: Find the intervals in which the function f(x)=x' – 3x² +4 is strictly increasing for all - хER.

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Q: Find k such that f(x) = x° - kx? + kx + 35 has the factor x - 5.

A:

Q: Let f(x)=x^3-3x^2-3x+9. For what values of x is f'(x)=0? What are the local max and min points for…

A: Given  f(x) = x3-3x2-3x+9 ∴ f'(x) = 3x2-6x-3

Q: The domain of f/g consists of numbers x for which g(x) __________  0 that are in the domains of both…

A: we have to fill the following blanks ;  The domain of f/g consists of numbers x for which g(x)…

Q: Find the absolute maximum and minimum values of f in the given interval. f(x) = x* – 2x² + 1, (-2,…

A: Our Aim is to find the absolute maximum and minimum values of f inthe given interval…

Q: Suppose that the function g is defined on the interval -2 if-2<x <-1 -1 if -1<x<0 g (x) = < 0. if 0…

A: Given: g(x)=-2if -2≤x&lt;-1-1if -1≤x&lt;00if  0≤x&lt;11if 1 ≤x&lt;2 To determine:…

Q: Suppose that the function f is defined, for all real numbers, as follows. -1 if x#0 f(x)= - 2. if x…

A: Graph of the function

Q: Let f(x) = x* – 2x³ – 2 Find the intervals on which f is increasing and (x) decreasing, then find…

A: follow next step

Q: Let f(x) = 1 - (x + 3) + 2x. Find all values of x for which f(x) is at least 4.

A: Given that, fx=1-x+3+2x Need to evaluate the values of x for which f(x) at least 4 that is fx≥4

Q: Can you help me with this?

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Q: find the largest domain for f(x) = (x-3)2   with an upper x bound of 8 such that the function f is…

A: fx=x-32 Differentiating with respect to x, we get f'x=2x-3 Now function is non decreasing in the…

Q: Use the given graph of the function f(x) to complete the statement. 4. 3- -3 -2 -1 3. -11 2 -1 - 00…

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Q: 4 If f(x) = x 2 - function for all real values of x, then f(8) is equal to

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Q: A function f is ________ on an interval when, for any x1 and x2 in the interval, x1 &lt; x2 implies…

A: To fill: The blank of the statement. Given: The statement is "A function f is ________ on an…

Q: An open top box is to be created from a 70 cm by 40 cm piece of cardboard by cutting x by x squares…

A: Solution -  Length of the cardboard = 70 cm Breadth of the cardboard = 40 cm   After cutting squares…

Q: For the given function f(x) and values of L, c, and ɛ>0 find the largest open interval about c on…

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Q: Suppose that the function h is defined, for all real numbers, as follows. if x-1 Graph the function…

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Q: Find the absolute maximum and minimum values of f onthe given closed interval, and state where those…

A: To Determine: Find the absolute maximum and minimum values of f on the given closed interval [1, 4],…

Q: Let h(x)=f(x)g(x). If f(x)=x2+4x−1,g(−2)=3, and g′(−2)=−5, what is h′(−2)? Do not include "h′(−2)="…

A: We have to find

Q: (b) If f(x)= |x-1| is now restricted to the domain x ≥1, find f¹(x) and state its domain and range.

A: Given problem:- If fx=x-1 is now restricted to domain x≥1, find f-1x and state its domain and range

Q: The function f is defined by f (x) = –x² – 3 for all real numbers x. Which of the following…

A:

Q: For the function f(x) = Ax2 + Bx + C, determine the value of c guaranteed by the Mean Value Theorem…

A: f(x) = Ax2 + Bx + C f'(x)=2Ax+B By Mean value theorem:

Q: What is the smallest integer a where f(x)=2x is always greater than g(x)=x2 for all x>a?

A: Given  : f(x) = 2x is always greater than g(x)=x2 for all x &gt; a  Implise that :  2x &gt; x2

Q: Suppose that the function h is defined, for all real numbers, as follows. --x+5 if x #1 h(x)= 31 -3…

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Q: Suppose that the function h is defined, for all real numbers, as follows. --x²+5 if x # -1 h(x)=< 4…

A:

Q: 10) Find the open intervals on which the function is NOT increasing y = x/50 – x²

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Q: Find k such that F(x)=x^3-kx^2+kx+44 has the factor x-4

A: To find k such that F(x)=x3-kx2+kx+44 has the factor x-4.

Q: If  f is a continuous function defined for all real numbers    x and if the maximum value of f(x) is…

A: Given that the maximum value of f(x)= 5 and the minimum value of f(x)= -7 For f(x)=5, |f(x)|= 5 And…

Q: on is discontinuous on the specified interval. Vx2 - 64 if IS -8 if-8<x<8 88] 0 ifx28 f(x) = {x+8

A: If a function is continuous then the left hand limit, right hand limit and value of function at that…

Q: Given f(x) - 2|x – 6| – 8 Give a closed interval in the form [a,b] that the mean value theorem…

A:

Q: Suppose that 2 < f '(x) < 5 for all values of x. What are the minimum and maximum possible values of…

A: The given inequality is

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

A: we will use the fact that f is continuous for all real numbers and hence we will use the definition…

Q: Suppose that the function h is defined, for all real numbers, as follows. h(x)=< 3 if x=-1 -4 if…

A: Topic = Function

Q: Given an interval [a,b] that satisfies hypothesis of Rolle’s theorem for the functionf(x)=x4+x2−2.It…

A: Rolle's theorem states that "If a function f(x) is continuous on the closed interval [a, b] and…

Q: Suppose that the function g is defined, for all real numbers, as fo -4 if x < -2 g(x) = (x+1)²…

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Q: For all x in the domain of the function –* , x+1 this func- tion is equivalent to:

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: Find the open intervals on which f(x) = x3 − 3/2x2 is increasing or decreasing

A: Find the open intervals on which f(x) = x3 − 3/2x2 is increasing or decreasing

Q: 5. If f(x)= kx³ + x² – kx+2, find k such that the graph of f contains the point (2, 12).

A: Given

Q: if f(x)=x/x+4 and g(x)=1/x, find f o g and its domain in interval notation.

A:

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

A:

Q: If g (x) = 1 - x, defined at 0 ≤ x ≤ 1, graph its extension on the interval [-1, 1].

A: extension of the function

Q: 5. Find the domain of the function: y = In () x-4

A: y=lnx-1x-4