Consider the function f(x)=3x−2fx=3x-2 and the function g(x)gx, which is represented by the table below. xx 1 3 5 7 9 g(x)gx 3 7 11 15 19 Which of the following statements about f(x)fx and g(x)gx is true? Select all that apply.       A The slope of f(x)fx is smaller than the slope of g(x)gx.   B The y-intercept of f(x)fx is smaller than the y-intercept of g(x)gx.   C The values of f(x)fx and g(x)gx are the same at x=3x=3.   D The lines represented by f(x)fx and g(x)gx are parallel.   E The line represented by f(x)fx crosses the x-axis to the right of the line represented by g(x)gx.

Q: B. Find the domain of 1. h(x) = V(x - 2) (x 2 -2 x + 1) 2. (x – 1)(x + 3) 1. 3. If f(x) = -1 and…

A: h(x) = (x-2)x-2 ≥ 0 because square root of -ve number is not defined or a imaginary number.x-2 ≥ 0 x…

Q: Suppose g is a linear function such that g(1.1) = 3.4 and g(-2) = 7.1. Find the equation for g. (Use…

A: Given, g is a linear function  g1.1 =3.4      and g-2 = 7.1

Q: 4. Find all relative maxima, relative minima, and saddle points for the function: f(x.y)= 2x³ + xy²…

A: Given: The function, fx,y=2x3+xy2+5x2+y2.

Q: If c is a non zero constant then the function is always differentiable x2 + c2

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Q: 1. If f(x) = x-1 and g(x) = 2x, what is g(f(x))? c. 2x -1 %3D а. х-2 b. 2х-1 d. 2x-2

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Q: Show that x – P VB + (d - x)* g(x) is a decreasing function of x.

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Q: 11) Locate all relative maxima and minima of: (a) f (x, y) = 3xe – x3 – e3y (b) f(x,y) = 4x²e – 2x*…

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Q: For what value of x does the function f(x) = x³ – 2x² + x- 11 have a relative maximum? А) 1/3 В) 1…

A: The given function is: f(x)=x3-2x2+x-11 to find the a where the function has relative maximum.

Q: 2) Find the fixed point of the functions : A. f(x) = x² + 5x + 3 B. f(x) = x³ – 4x² + 6x – 2 C. f(x)…

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Q: Find the linear approximation to the following function at the given point a. ƒ(x) = e3x - 6; a = 2

A: Given,f(x) = e3x-6at a = 2

Q: 5. State the equation of f(x) if D = {xER\x - and the y-intercept is (0, ;) 2x+1 x+1 f(x) : f(x) а.…

A: Equation of the function

Q: Find the linear function satisfying the given conditions. g(2) = 4 and the graph of g is…

A: see the details solution in below

Q: 5. The x-intercepts of the function f(x) = 2x² – 4x – 6 are %3D (1) (3) 3 and 1 -3 and 1 (2) (4) 3…

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

Q: Suppose g is a linear function such that g(1.1) = 3.4 and g(-3) = 7.1. Find the equation for g. (Use…

A: Given that “g” is a linear function such that g (1.1) =3.4 and g (-3) =7.1 Let,gx=ax+b…

Q: Suppose g is a linear function such that g(3.6) = 5.1. If the slope of g is -2.2, what is g(6.7)?…

A: Since g is a linear function so suppose that g(x) = mx+c where m is the slope of g. Now we will use…

Q: If f is the linear function f = 5 - 8x, what is the value of ? df dx

A: Given linear function is  f = 5 - 8x

Q: (c) Discuss the maxima and minima of f (x,y) = x + y3 – 3x – 12y + 20.

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Q: Find the maxima, minima, and saddle points of f(x,y), if any, given that f', = 3x - 27 and f', = 8y…

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Q: 1) Determine if the two functions are Linearly Dependent or Linearly Independent. g(x)= 2x – 4 f(x)=…

A: Given: f(x)=2x+4 g(x)=2x-4

Q: Suppose f is a linear function and that f (2)=7 and f (5)=7.1.  Then the slope of is postive   true…

A:

Q: Suppose f is a linear function such that f(3) = 2. If the slope of f is 3.3, then what is f(12)?…

A: Since, f is a linear function with slope 3.3 So, we can write f as, f(x) = mx + c  Where, m = slope…

Q: 4) Find functions f and g so that f ° g = H а. Н(х) —D Vx2 — 3 H(x) =

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Q: 3. Determine the values of a and b if the given function f(x) is continuous. (2x + 6 ,x 2 Solution:

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Q: If (0,8) is the y-intercept of f(x) and the slope of f at x is m(x)= 4x/(x^2+1)^3, then what is…

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Q: 18. What is the distance in units between the y-intercept of f(x) = x² + 8x - 10 and the y-intercept…

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Q: Suppose f is a linear function such that f(3) = 9 and f(8) = 5.0. What is the slope m of f?

A: Given query is to find the slope of the function.

Q: Suppose that f is a linear function such that f(3)=5. If the slope of f is 2.9 then what is f(5)?

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Q: For what value of X does the function f(x) = x³ – 9x² – 120x+6 have a relative minimum? A 10 В) 4 3

A: f(x)=x3-9x2-120x+6

Q: 11) Locate all relative maxima and minima of: (a) f (x,y) = 3xe" – x3 – e3y (b) f(x,y) = 4x²e" – 2x*…

A: Solution is given below:

Q: For what value of X does the function f(x) = x³ - 9x² – 120x+6 have a relative minimum? А) 10 В) 4 D…

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Q: f(x1, x2) = x1 + 2.x2, then the marginal of x, is A) 2x1 +2 B) x1 + 2 C) 2x, +4 D) x1 + 2x2

A:

Q: Find all the local maxima, local minima, and saddle points of the function. f(x.y) = - 3x - 2xy -…

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Q: (:)-() 2x +3 12. Let F : R3 → R² defined by F : x - y . Is F linear? Justify our answer.

A:

Q: 11) Locate all relative maxima and minima of (a)f(x,y) = 3xe – x³ – e3y (b) f(x,y) = 4X²@Y - 2x4 -…

A: Given: a) f(x,y)=3xey-x3-e3y b) f(x,y)=4x2e-2x4-e4y

Q: 2. Given f(x) = –vx + 2 and g(x) = x² – 2x + 7. What is the domain of q (x) = f(x) – g(x)? a. Can't…

A: Topic- function domain

Q: 1))Write the equation of a linear function: a) with a slope of 2/3 passing through (6, -1) b)…

A: To write: The equation of linear function  (a) with a slope of 23  and passing through (6, -1) (b)…

Q: For what value of X does the function f(x) =x² - 9x² - 120x +6 nave a relative minimum? A) 4 10 -4 3

A:

Q: A coffee company has found that the marginal​ cost, in dollars per​ pound, of the coffee it roasts…

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Q: 11) Locate all relative maxima and minima of (a) f (x,y) = 3xey – x3 – e3y (b) f(x, y) = 4x²e – 2x –…

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Q: when f(x) is polynomial 44,8) Fie -16 f(x) = }x² – 5x + 26 compute the instantaneous slope at: (4,…

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Q: The productivity of a certain country with the utilization of x units of labor and y units of…

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Q: Find all the local maxima, local minima, and saddle points of the function.…

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Q: . Find all the local maxima, local minima and saddle points of the function below. f(x, y) = 2x³ +…

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Q: 2 Given f(x) = x“ - 2 and g(x) 4x + 1, find a. f g b. g(f(x))

A: We will find f .g and g(f(x)) in the following step.

Q: Suppose f is a linear function such that f(5) = 3. If the slope of f is 2.9, then what is f(10)?…

A: Recall: Evaluating the Linear Function:          A linear function is a function of the form…

Q: Find all locations and values of the local maxima and minima and the location of the saddle points…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x.y) = 4 e -y (x2 +…

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Q: Find the function's relative maxima, relative minima, and saddle points, if they exist. (If an…

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Q: For what value of x does the function f(x) = x³ - 2x2 + x – 11 have a relative maximum? A 1/3 B 1 ©…

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Q: E. If f(x) = 2x -5x, find f(x-2). a. 2x - 5x + 18 c. 2x - 13x + 18 %3D c. 2x-13x + 2 d. 2x-8x + 3 1…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.