f(x + h) – f(x) For the function f(x) = 5 -x, construct and simplify the difference quotient %3D f(x + h) – f(x) (Simplify your answer. Use integers or fractions for any numbers in the expression.) Graph the function. 5, for x= 4 f(x) = { x - 16 -, for x+4 х-4 O A. O B. OC. OD. 10- 10- 10- 10- 10 -10 -10 10 10 10 ГА -10 10- -10- 10-

Q: g(x)-=x^2+4x-6- 10- f(x)-= 2^x- -5- 15 -10 -5 -5- 10 g(x) = -10 when x = 3 g(-2) = -10 g(-5) - f(0)…

A: The function is the mathematical expression that tells the relationship between one variable and…

Q: 2 2 x >1 4 2x> 2 4 x+ 2 b) f(x) = . 16 52x>4 x² + b 6 2 x > 5 1)is the above function continues at…

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Q: -10 f(x) = -8 -6 Equation, inequality, interval notation 2x - 3, x<-2, [-2,3) 8 1 113 x + 4, -2 1…

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Q: x2-8 If fx)= X-4 where is f not differentiable?

A: Given the function

Q: 1 if x -2 18. f(x) = x + 2 %3D a = -2 1 if x -2 x+3 if x -1 a = -1

A:

Q: 7. Which is the domain of the function x + 8 + V3 – x – - 2 5, f (x) = Vx +7+ Vx + 3 ? (-0, 3) – {2}…

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Q: Suppose a manufacturer's revenue function is given by R(q)=−4q^2+600q R(q)=-4q2+600q , where…

A: Given that     A manufacturer's revenue function is given by        R(q) = -4q2 + 600q Where R(q) is…

Q: 2x – 3 if x > 0 3x – 1 if x 3], [ƒ 9].

A: Function

Q: 5(2) = 1 If then 2-3z f(r +h) = 1 23-3r2+hz² –3hz 1 12+2xh-3x-3h+h? I+h 12-3x 1 12-37-3h+h²

A: We use (a+b)2 = a2+2ab+b2

Q: Suppose that the profit (in dollars) from the production and sale of x units of a product is given…

A: Given that the profit of production and sale of x units of product is given by the formula,…

Q: (b) g(x) = (x - 2)2 10 X 10 10 - 10 -5 - 10 -5 -5 -5 - 10 -10 y 10 - 10 -5 10 - 10 -5- -10 -10 (c)…

A:

Q: The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x) is…

A:

Q: (x-1 f(x)= {2x -1 |-3x +8 if if xs-2 if -2 4 f(-1) = f(-4) = f (5) =

A:

Q: The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x)is…

A:

Q: from the function f(x) = 3x4 − 4x3 − 12x2 + 5 Find the absolute extreme values of f on the closed…

A: To find out extreme values of f(x) i.e. maximum and minimum values, first we need to calculate…

Q: [2x+1 f(x)={-2x+3 if x21 if x 2 3. f(-4) = f(8) = f(2) = X-1 if x4 f(-1) = f(-4) = f (5) =

A: (?)  f(-2) =2x+1 (x&lt;1)          = 2(-2) +1         =-3 f(6) =-2x+3 (x&gt;=1)         = -2(6) +3…

Q: 5 f(1) + 5 g(9) = 8+ 6- 4+ 2+ y=g(x) 一ェ 8. -8 - -4 人6 -4+ 64y=f(x) -8 .

A:

Q: find the limit of each rational function (a) as xS q and (b) as xS -q.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1. With x= -0.60, x= -0.55, x= -0.50, x= -0.45, x= -0.40, x= -0.35, x= -0.30, find f"(-0.45) using:…

A: According to rule of bartleby we can solve only first main question or three sub question of first…

Q: The rate of expenditure for maintenance of a particular machine is given by M'(x) = 12xx +5, where x…

A: Given , the rate of expenditure for maintenance of a particular machineis given by…

Q: -1. f(-8) – 4 g(4) = 8- y = 9(x) -8 -6 -4 6. -6- y= f(x) 6.

A:

Q: A store is deciding what types of fruit to stock nearest to the registers. They can either stock…

A: Let's find maximum potential revenue fruit.

Q: 2x + 5; if x 3 Find the value of functionf at x = 3.

A: Topic = Function

Q: uan Carlos is using successive approximation to estimate a positive solution for F(x) = g(x), where…

A: Topic:- Functions

Q: Suppose the price of land in a city is given by the function P(x,y) = 227 – 10( x - - 15(y – 1)²…

A:

Q: N(t) components per day after t days of traning where N(t)=75t/t+5 t> or = 0. Sketch the graph of N…

A:

Q: -10 -9 -8 -7 -6 -5 -4 -3-2 2 345 6 89 10 Which equation could represent the piecewise function? -4,…

A: from the give graph for x&lt;0it gives a straight line with zero slopey=-4

Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…

A: Given query is to find the derivative of the expression.

Q: The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x) is…

A:

Q: x+4 2x - 3 x2 - 30 if x 5 Find: f(1) - (5) -

A: Given,

Q: - Ix - 0l (i) f(x, θ) = - 2 (-∞<x<∞) 1 f (x, 6) = 5 -(x-6), 0 <x < 8, -8mθ<o. (ii)

A:

Q: The price per barrel of crude oil in the period 1980–2013, in constant 2014 dollars, can be…

A:

Q: In Problems 37–42, analyze each rational function

A: Hey, Thanks for the question. Since you have posted multiple questions. As per our guidelines, we…

Q: f(x) = 1- (x - 1), xs2 lx-2, x > 2 y y 10 10 5 -10 -5 10 - 10 -5 10 -5 -5 - 10 -10 y y 10 10 5 - 10…

A: Topic - functions and their graph

Q: (2x +1 if x<1 F(x)=1-2x +3 if x21 2. f(-2) = f(6) = f(1) =

A: Here we have to find the value of the given function at the required points. Initially we have to…

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

A:

Q: -8 f(1) – 4 g(4) =[ %3D 8- 6+ y= f(x) 2+ -8 -6-4 6. -4+ y=g(x) -6+ -8- ఈ

A: Given, The graph of the functions  y=fx   and  y=gx We have to find the value of expression…

Q: 3x - 2 if - 4sx1 find f(0) + g(T). A TT +1 B -1+ n? 2+ TI -3+ 1?

A: Given f(x)=x2+2x-1 if x&lt;25x-3 if x≥2g(x)=3x-2 if -4≤x&lt;-2x+3 if -2≤x≤1x2 if x&gt;1

Q: For the attached photo, find the domain of b.

A: The given function is

Q: 4, 0st< 2 2. f(t) : [0, t2 2

A:

Q: In Problems 21–32, use Descartes’ Rule of Signs to determine how many positive and how many negative…

A: Use Descartes’ Rule of Signs to determine how many positive and how many negative zeros each…

Q: 7. Suppose that the profit from the production and sale of x units of a product is given by p(x) =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 21. If f(x) = 2x - 1 an d gx) = 3x + 5, what is f(g(5))? 22. Graph the following equation. 4х - Зу -…

A:

Q: 5- y= g(x) 4- 3+ 2+ 1- 4 5 6 7 8 9 10 I1 12

A: topic-functions domain is the values of x for which function is defined range is the values obtained…

Q: 15 Solve f(x) = g(x), to the nearest tenth, where f(x) = --x² - =x+ 18 and )s shown below. 24 21 18…

A: Consider the given function fx=-34x2-154x+18. The given graph of g(x) is, gx=-x2+13   for   x≥1x-12…

Q: = 1 – _X k – 1 k + 1

A: We can eliminate the arbitrary constants as below.

Q: Estimate the slope of the graph at x=0. AY 5- 4 2- -109 6 54 19 2345 6 7 8 9 10 -2 -4 -5- -2 O 1 O 2…

A: Given: The graph is To determine: The slope of the graph at x=0.

Q: 2х—4 -? x² - 5x 8. What x-value(s) are excluded from the domain of f(x)= 2

A: Domain  set of all input values where function defined

Q: 3. 3 Z =6x,-Xg + X, + X, find the endpoints of the function

A: Given fx1,x2=6x1x2+x13+x23 To find the endpoints of this function: The endpoints are given by the…