7-14 - Identifying Linear Functions Determine whether the given function is linear. If the function is linear, express the func- tion in the form f(x) = ax + b. . 7. f(x) = 3 + £x 9. f(x) = x(4 – x) 8. f(x) = 2 – 4x 10. f(x) = Vã + 1 x + 1 2x – 3 11. f(х) 12. f(x) 5 13. f(x) = (x + 1)² 14. f(x) = }(3x – 1)

Q: Suppose g is a linear function such that g(1.2) = 3.2 and g(-3) = 7.1. Find %3D %3D the equation for…

A: Since, g is a linear function,let, g(x) = ax + b, where, a and b are parameters.

Q: The function f(x) = 6x¬1 for the interval (1,3) has a local minimum. a local maximum. both local…

A: Note :- As you write for solution only for interval [1,2] so i  am providing solution only for it.

Q: 4. Find all points of discontinuity. 17/11 a) f(x) = x-23 x²+5x-2 b) f(x) = x-9 x'+6x+9 c) f(x) =…

A: Clearly the given functions are Rational functions since they are of the form p(x) / q(x) and We…

Q: 1-6 Find the local and absolute extreme values of the function on the given interval. 1. f(x) = x' -…

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Q: Sketch the graph of the function f. f(x) =    −2x + 4      if x  1 The x y-coordinate plane is…

A: given   f(x)=-2x+4   if    x<1                    3        if    x=1                 x2+1    if…

Q: 3. Consider the function f (x) = x³ + 3x2 – 45x + 5, then I. f is decreasing on (-5,3) and…

A: The given function is f(x)=x3+3x2-45x+5. The function is said to be increasing if f'(x)>0 and…

Q: 3.3-The chain rule Questions If f(x) (2x + 4)2, find f'(x). • Q1 (0/5) Q 2 (0/5) • Q 3 (0/5) • Q 4…

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Q: 5- 8 g(x) 7. 4 h(x) 6- 3 5 4 2 3 2 1 1 1 2 3 x-values 4 1 2 3 х-values If f(x) 9(x) then h(x)'…

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Q: 1) A function is linear for x 2. This function has the following values: 9-4) = 8; A2) = 5; A4) =…

A: Consider the given statements : Put these values in the functions to check whether the functions…

Q: 3- 2- 1- 6. -4 -3 -2 2 8 -1- -2- Graph of g 3. The function g is defined on the closed interval [-4,…

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Q: (c) (c) NewIU 13.7 Consider the following function: (x) = – x* – 2r – 9x – 6x Use analytical and…

A: given function is                                 f(x)=-x4-2x3-9x2-6x e have to show that there is…

Q: 9. (4, 4) 10 -2 2 4 12 -4 (-4, –4) (8, -4) (12, -4) Graph of f The figure above shows the graph of…

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Q: Find and graph the level curve of the function g(x,y)=x^2+y^2-6x+2y corresp

A: the answer is given in step2

Q: The amount function of an investment is defined by ;                               A(t)=at2 +bt +c…

A: When an individual put something such that it can generate income or can benefit person in any way,…

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, hut…

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Q: The function f(z) = 2r + 15z2 - 84r - 1 is decreasing on the interval It is increasing on the…

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Q: Using ELIMINATION OF ARBITRARY CONSTANTS, find the values of c1 and c2 so that the given functions…

A: We have to solve the problem

Q: 9-20 Locate all relative maxima, relative minima, and saddle points, if any. 13. f(x, y) = x + y'+2…

A: according to our guidelines we can answer only three subparts, or question and rest can be…

Q: 2. A fly starts out 2 meters from a lightbulb, flies closer to the light, then farther away (2…

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Q: 19 The graph of Function 1 is shown on the coordinate plane, Function 1 -5 -4 3 -2 1 -5-4-3-2-10 i 2…

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Q: -4 Find the linearization L(x) of the function at a. 3. f(x) = /x, a = 4

A: fx=x=x12 f'x=12x12-1=12x-12   At a=4,  f4=412=2 f'4=124-12=1212=14

Q: a) Calculate the derivative of f1 (x) = 2x4 - 3x3 + 1/2x2 + 3. b) Study the sign of the derivative…

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Q: 2 A function, f (x), has derivatives: f'(x) = (x + 1)² (x – 2) and f"(x) = 3 (x – 1) (x + 1) Let: M…

A: Given f'x=x+12x−2 and f''x=3x−1x+1 Given, M=Number of local maximum m=Number of local minimum…

Q: 70х-х2 Given the revenue function of a company R(x) = 5 then the maximum revenue is %3D

A: The given revenue function is Rx=70x-x25. It is known that the maximum value of any function occurs…

Q: Can i get help step by step please?

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Q: - 1 The function f(x) = 6x + 2x has one local minimum and one local maximum. This function has a…

A: I use second derivative test to find out value of x where local maximum and minimum

Q: 5- h(x) g(x) 7- 6- 5 2 3 - 1 2 3 x-values 1 1 3 x-values If f(x) = g(x) · h(x), then f'(4) = | 2. 4.…

A: fx=gx·hx and graph of gx and hx are given as below

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Q: 104 6. -10-8 -6 -4 -2 0 4 6 8 10 -2 10 Match the graph with its function by translating the graph of…

A: topic - translation of a function

Q: Find the linearization of the function f(x)=13x+2 at x=−1. L(x)= x The exact value f(x) The…

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Q: x² - 1 3. Consider the function f(x)= (a) Provide all critical points and use the 1st derivative…

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Q: .7% x-2 Consider the function f(x) = 7 -7' %3D x-7 Use the graphing utitlity to graph f. f(x) = %3D…

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Q: 1 1 Part A: Let f(x): . Find all points where f achieves a maximum value. 1+|x| 1+|x-2| {Hint:…

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Q: A continuous piecewise function, f(x) is defined by the following conditions. a) The domain is [-5,…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Зх-4 (5) Let f(x) x E [-2,2], find the absolute maximum and minimum x²+1 values of f(x).

A: We will find out the required value.

Q: 3. f(x) = --x- 1) + 2 4. f(x) : :--x+1- 5 Starting Pt: Inc or Dec: Starting Pt: Inc or Dec: Domain:…

A: Solution is here

Q: - 1 The function f(x) = 2x + 2x has one local minimum and one local maximum. This function has a…

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Q: 13) The graph of a piecewise-linear function f, for -1<x<4, is shown in the figure. If the function…

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Q: given function. f(x) = (2x+3x-)(2x³-3x-) a. -444 Find the first derivative (f/(x)) of f(x). b.…

A: We can find the derivatives of given problem.

Q: 1 3 1 Q.2 Find the intervals on which f(x) -x² – 42x + 19 is increasing and the intervals on which…

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Q: -1 The function f(x) = 3+4x + 36x has one local minimum and one local maximum. %3D This function has…

A: Find the local maximum and minimum using second derivative test

Q: 4- 2- 4 6 -2- -4- Let g(x) = f(t) dt where f is the function whose graph is shown above. Evaluate…

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Q: 2 4 f' (x) -1 -2 3 f" (x) 8.333 -0.304 -1.900 0.971 | Let f be a twice-differentiable function.…

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Q: defined on the interval [-5, 7]. a.) f(x) is concave down on the open b.) f(x) is concave up on the…

A: This question can be solved using the concept of point of inflection, critical point and point of…

Q: 15.7.31 Question Help ▼ Find the critical points of the following function. Use the Second…

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Q: Quantities x and y have a linear relationship. Everytime x increases by 2, y increases by 3. Find an…

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Q: 10+ 8- 6- -6 -5 -4 -3 -2 -1 12 3 4 5 6 -2 -4 -6 -8 -10 The function graphed above is: Concave up on…

A: Solution

Q: y 8. 8 7. 6- 5. 4- 3 2. 7 6- y = g(x) 4- 3 2 1 1 0l i 2 3 4 5 6 7 8 0l i 2 3 4 5 6 7 8 The graphs of…

A: hx=fxgx Differentiate with respect to x h'x=fxg'x+f'xgxh'2=f2g'2+f'2g2 When x&lt;3 To find the…

Q: (a) Consider the function f(x) = 1/x – 2 and the interval [a, b] = [-1, ]. Is it true that f(a)f(b)…

A: afx=1x-2 Root of the polynomial can be evaluated by putting f(x)=0 1x-2=0x-2=0x=2 If you will draw a…

Q: A first order nonlinear system is described by the equation ẋ = −f(x) where f(x) is a continuous…

A: Introduction: For a system of autonomous differential equation, Lyapunov stability theorem is very…