58. Given that the domain of a one-to-one function f is [-3, 5) and the range of f is (-2, ∞), state the domain and range of f!.

Q: х — 1 is 5 - The range of f(x) = O (-∞, –5) U (-5, ∞) O (-∞, 5) U (5, ∞0) O (-∞, ∞0) O (-∞, 1) U (1,…

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Q: Which of the following is the absolute minimum value of the fuk took f(x)=(x-3)^3 on interval [1,4]

A: The graph is shown below:

Q: 8х + 7 State the domain of the function f(x) = in interval notation. 9х + 2

A: A detailed solution is given below

Q: Which of these statements are true about the graph of f(x) = -x(x – 2)²(x +1)? I. The function…

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Q: Suppose that the function f is defined on the interval (-2, 2 as follows. -1 if-2<x<-1 if -1<x<0…

A:

Q: 13. Find the end behavior for f(x) =x- 2 A. x- +0, f(x) - +o x--o, f(x) → - B. x +o, f(x) - +0 x--o,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: f(t) = 3 – 9 ? -6, [-3, 3]

A: To find: The continuity of the function f(t)=3-9-t2 on the interval [-3, 3]

Q: 5. Which of the statements is Not a function.

A: A relation is the ordered pair of input and output values. A graph or a mapping diagram can be used…

Q: Is the function f : Z→Z defined as f(n)=n^3+2 one-to-one ?

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Q: 10 The function f(x) = - has a removable discontinuity at x = 2. To remove the - 2 discontinuity,…

A: Given: f(x)=10x+x2−4x−2

Q: Below is the function f(x). 7- to 4 -7 -6 -5 f4 -3 -2 -1 1 2 3 4 5 6 -2 -3 -4 -5 -- =7 Over which…

A: For a given function , f'(X) represents the change in function value over a small interval. So, If f…

Q: 59. The function f is neither left- nor right-continuous at x = 2. 6.

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Q: 4. List the discontinuities for the function f(x) = cot(* :).

A: First write the given function into Numerator and denominator form and , to find the discontinuity…

Q: In the given question/s, let f be a function that is positive and differentiable on the entire real…

A: Given, g(x)=f(x) Let f be a function that is positive and differentiable on the entire real number…

Q: 2. Determine whether the function y= -x5 + x3 – 1 is even, odd, or neither. Justify your ans wer.

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Q: 6. Let (1- x2, if x 1 Find f (-1)

A: 6.  Given that , f(x) = 1-x2    ; if x≤12x+1   if x&gt;1we have to find f(-1)

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: - Show that the function f(x) = secx.cscx odd or even

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Q: Below is the function f(x). 6- 4- 3- -7 -6 -5 -4 -3 -2 -1 4 -3 -4- -6 Over which interval of x…

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Q: 13- Given that f(x) is an odd function, classify each of the following as even, odd, or neither .(…

A: The definition of even function is if f(-x)=f(x) and the odd function is f(-x)=-f(x) the odd…

Q: Suppose that f(x) is a differentiable function such that f(4)-5 and f(4)=4. If g(x)=2xf(x), then…

A: Given f(x) is differentiable function such that f'(4)=5 and f(4)=4. Differentiating with respect to…

Q: If f(x) < 0 for all real numbers x then f is decreasing on (-o, 00).

A: Proceed as shown below

Q: Below is the function f(x). 5 4- 46 -5 -4 -3 -1 -1 2 3 4 5 -2 -3 -4 -6 -7+ Over which interval of x…

A: The graph of the function is given by

Q: 24. Express the distance d, from a point (x, y) on the graph of x+ y= 3 to the point (5, 8) as a…

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Q: . Show that the function f: R→ R defined as f(x) = 13x − 15 is one-to-one.

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Q: 7) Construct a table of values for the function f(x) = x 1 in the restricted domain (0, 0.5, 1, 1.5,…

A: Or

Q: What is the function f on (a, b) if for all x1, X2 in (a, b) when x, f(x2). is it decreasing or…

A: for all x1 , x2 in a,b when x1&lt;x2 then fx1&gt;fx2 claim- is it decreasing or increasing

Q: 13. In the table of signs, interval 0 < x<÷, is the function increasing or decreasing?

A: A function f(x) is decreasing on the interval (a , b)  if f '(x)&lt;0  for every x in (a , b)

Q: 7. If, for all real numbers x, f'(x) 0, which of the following curves could be a part of the graph…

A: For all real numbers xf'(x)&lt;0 ⇒f(x) is decreasing for all real numbers.f"(x)&gt;0 ⇒f(x) is…

Q: 9. If f (x) = prove that f (xr) is an even function. et -1 2

A: A function f(x) is said to be even if we have f(-x)=f(x)

Q: 8- What is the absolute max and min values of f(x)= x'e* on x€[-5,1]

A:

Q: Suppose, we want to define functions from set Ato set B Given that, B = n = 20 > 15 = m =HAw many…

A:

Q: 8. Show that the function f : N → Q defined by f(n) n- is one to one. n+1

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Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

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Q: Suppose the function f(x) = 2x3 − 9x2 − 24x + 9 gives an important quantity that depends on x, where…

A: Absolute maximum or absolute minimum values of a function in a closed interval exists at a point…

Q: I need help trying to find the global max and min for the function  f(x)=(3^(1/3))-x on the…

A:

Q: 14. Explain why there is no value of k that will make the following function continuous. 5x, if x 3…

A: Given that: f(x)=5x,   if x&lt;-1x+k,    if -1≤x≤32x2  ,   if x&gt;3

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

A: Given,          fx=x-243 on -7,7

Q: Suppose that f(x) is a differentiable function such that f(3)= 8 and f'(3)=-2. If g(x)=xf(x), then…

A: Product Rule of differentiation : d(u.v)dx = u.dvdx + dudx.v

Q: Help with this problem?

A: The given function is f(x) = 5 + 7xTo find the value of x for which |f(x)| = 5.

Q: У S 1 X

A: The function is said to be increasing in an interval if its value increases as the value of x…

Q: D 4. Determine the location and values of the absolute extreme values of f on the given interval, if…

A: Given the function f(x)=2ex-x2 we need to find the location and values of absolute extreme values.…

Q: Given the function of f(x) = -3 – in the interval [-8, –2], find a point x = c between -8 and -2 so…

A:

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

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Q: 70 The function f(x) = has a removable discontinuity at a = 0. To remove the 10+22 +2z…

A: -&gt;Given functionf(x)=7010+x2+x3-6xx3+2xNow we want to define f(x) at x = 0 in such a way that the…

Q: What are the discontinuity and zero of the function f(x) = x^2+8x+7/x+1    Discontinuity at (1,…

A: Given,        fx=x2+8x+7x+1        fx=x+7x+1x+1      Discontinuity at x=1  at f1=x+7=8…

Q: Consider the piecewise function f(x) defined by 6 — 2х if x 4 х? — 16 For which x E R is f(x)…

A: Given function is fx=6-2x                            , if x≤4x-4x+4x-6x2-16    , if x&gt;4

Q: 5. Find three relation from {1, 2} to {6, 7} that are NOT functions.

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8х + 7 State the domain of the function f(x) in interval notation. 9ж + 2

A: Given,f(x)=8x+79x+2

Q: 5. Find the value of k that makes the following function continuous. f(x) : ={2x - 1,if x2-1

A: