Find the range of each of the following functions.(i) f (x) = 2 – 3x, x ∈ R, x > 0.(ii) f (x) = x2+ 2, x is a real number.(iii) f (x) = x, x is a real number.

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: ) Find a function ƒ such that f'(x)= x³ +3 and such that the line y+5x O is tangent to the graph of…

A: Given, f'(x) = x3+3  and the line  y +5x =0 is tangent to the graph of f   Let's assume the function…

Q: Find the intervals where the function f(x) = 1 + 2x – x2  is increasing and where is decreasing.

A: NOTE: Refresh your page if you can't see any equations. . here we have an equation of a parabola…

Q: 1 Is the function given by f(x)= 3x+2, for x ≤ 3, 4x-7, for x>3, continuous at x = 3? Why or why…

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Q: f(x) = x – e2x

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Q: Determine all the critical points for the function. f(x)=6x^5+33x^4−30x^3+100

A: We have to determine all the critical points for the function  f(x) = 6x5 + 33x4 - 30x3 + 100 We…

Q: Find the absolute extrema of the function on the closed interval.                          f(x) =…

A: The given function is Solve the absolute extrema on closed interval [0,4] by finding its derivative…

Q: Find the absolute extrema of the function on the closed interval.                          h(x) = 5…

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Q: Determine critical points of the function f(x)=∣∣x2−4x+3∣∣.

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Q: The function f is defined by f(x) = \25 – x² for -5 sx 5. (a) Find f'(x). (b) Write an equation for…

A: Given: fx=25-x2; x∈-5,5 we know that for finding derivative of given function, we differentiate…

Q: On what domain is the function f(x)=1+√−6−3x continuous?

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Q: The function f is given by f (x) = (1+x)=. How do the values of f behave for small positive and…

A: Here we define  f  for small or large positive value of x.

Q: 1 For f(x) -x² + x + 2, find: a) the equation of the line that is tangent to the graph of f at the…

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Q: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = -2x +…

A: The given function is fx=-2x3+3. Compute the slope of as follows.

Q: Find the graph of the function f(x) = [x] + [x/2] from R to R.

A: Given function is fx=x+x2. Definition: Floor function is the greatest integer that is less than or…

Q: Find the local and absolute extremum for the functions over their domain: 5. f(x) = vx2 + 8x + 20

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Q: how would you find the x-values that the function f(x) = 2e^x - 6x have horizontal tangent lines? I…

A: The given function fx=2ex-6x

Q: Find the absolute extrema of the function on the closed interval.

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Q: Find k such that the line is tangent to the graph of the function.

A: The function is given as fx=kx......(1) The line is given as y=x+4......(2)

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: Find the absolute extrema of the function on the closed interval.

A: Solution Given Find the derivative of the functionf'(x)=xx2+1To find the criticle Number derivative…

Q: Find k such that the line is tangent to the graph of the function  Function: f(x)=k square root x…

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Q: What is the length L of the interval on which the function f(x)=x4e−x is increasing?

A: Given

Q: am having trouble finding the equation of the line tangent to the graph of f at (1,1), where f is…

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Q: For the function given by f(x) = 2x2 - 8 divided by x2 -1 , find the intervals where the function is…

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Q: Find f′​(x) and find the equation of the line tangent to the graph of f at the indicated value of…

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Q: Find the absolute extrema of the function on the closed interval.

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Q: from x = 1 to x = 4 2

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Q: Find the absolute extrema of the function on the closed interval.

A: We have to find absolute extrema of the function on the given close interval: fx=x3-32x2,    -1, 2…

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: The tangent line to the graph of a function f at the point x =2 has x-intercept 10/3 and y-intercept…

A: Given query is to find f(2) and f'(2)

Q: On what domain is the function f(x)=x^2+7x−6 continuous?

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Q: Find the slope of the secant line between x=−3 and x=4 on the graph of the function f(x)=3x2−x+2.

A: we will find slope of secant line by two point slope formula

Q: At what value of x does the local max of f(x) occur?

A: Given, fx=∫0xt2-491+cos2tdt

Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = V f(x), evaluate…

A: To find: The value of g'(4) if g(x)=f(x). Concept used: Chain rule: f(g(x)=f'(x)g'(x)

Q: 4. Find the point on the graph of f(x) 5x + 20x – 3 where the tan gent line is horizontal. 5

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Q: Find the absolute extrema of the function on the closed interval. f(x)=x3+6x2, [-6,1]

A: To Determine: Find the absolute extrema of the given function on the closed inteval.…

Q: Find the function f(x) given that f ′ (x) = e x + x and the graph of f passes through the point (0,…

A: Given: f'x=ex+x & Px,y=0,3   As we know that; The Power rule: ∫xndx=xn+1n+1+C And…

Q: Locate the absolute extrema of the function f(x)=x'-12x on the closed interval [0, 3].

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Q: 8. Given the function f(x)%=2x3 -5x3 , find the point where the tangent is horizontal to the curve.

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Q: What is f'(x) at x = -1 of the function f(x)=x^-2 + (x^2)^(1/2) *

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Q: Find the absolute extrema of the function on the closed interval. f(x) = x3 - 12x, [0,6]

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Q: The critical points for the 4 function f(x) = x + – is:

A: Given,          The function is fx=x+4x .

Q: Find the local and absolute extremum for the functions over their domain: 2. f(x) = x3 + 4x2 – 11x –…

A: Given function is  f(x)=x3+4x2-11x-2

Q: Find the equation of the line tangent to the graph of f(x)= -(1/6)x^2 at x=3

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Q: Find the value of k that makes function continuous at I = 4 2x + 8 x > 4 f(x) = 4x k r< 4

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

Q: The derivative of the function f(x) = 18 is 1 5x 18 5x + 18 18 5x4 + (x) 18 5x4 (교2) 18 5x4 + (23)

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Q: Find the line tangent to the function at the indicated point: f(x) = v8x² – 4x ;x = 1 ОУ-12х-10 o…

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: 19. Find the absolute extrema of the function on the indicated interval. f (x) = xe-3x;[-1,2] хе

A: As a first step, we need to find all the critical points by equating the derivative of f(x) to zero.…