For which values of the constant a is the function x)- a concave up? (Enter your answer using interval notation. Enter EMPTY or d for the empty set For which values of a is the function concave down? (Enter your answer using interval notation. Enter EMPTY or o for the empty set.) Need Help? Reed h

Q: Let h(æ) = f(x)+ g(x). If f(x) = 7x³ and g(æ) = 9x4, what is h' (æ)? Do not include "h' (7) =" in…

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Q: Given the function f(x) = x* – 24x², determine all intervals on which f is both decreasing and…

A: For any function in interval a,b if f'(x)<0, then f(x) is decreasing in the interval a,b and…

Q: Suppose that the functions p and q are defined as follows. p (x) = -2x q (x) = x² – 1 Find the…

A: We have to find the value

Q: Determine the absolute extrema of the function ?(?) = sqrt of x - 9 on the interval [9,45]

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Q: Each gives a formula for a function y = ƒ(x). Ineach case, find ƒ-1(x) and identify the domain and…

A: Given, f(x) =  x2 - 2bx b>0  and a constant,   x < b

Q: If f(x) = -x? – x - 4, find f(-2), f(0), and f(4). %3D

A: The given function of x is fx=-x2-x-4 To find the value of function at f-2, f0 and f4

Q: Solve the following equation to determine if f (x) is continuous given the function: f (x) = 6x+7…

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Q: f(x) is given below. 6. 4 2 3.

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Q: a. Which of the following represents all values of x whose distance from 7 is less than 8? Select…

A: a. values of x whose distance from 7 is less than 8 :|x-7|<8 (3rd option is correct)b. values of…

Q: Refer to functions q and r. Evaluate (g or) (x) and write the domain in interval notation. Write…

A: Given :q(x)=1x-10r(x)=2x+3

Q: Use the graph of f(x) shown below to answer each question.

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Q: Which of the following sentences are statements? Select one or more: O a. The sum of two odd…

A: A sentence is a mathematical statement if it is either True or false.

Q: If 120 feet of fence is to be used to enclose a rectangular yard, then the resulting area of the…

A: The resulting area of the fenced yard is given by, A = x(60 − x), where x is the width of the…

Q: 1. Which of the following terms defined as the set of all values that f(x) will take? A. Domain B.…

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Q: wrie the domain in interval notation. f(x)=1/square root of 8-x

A: Recall that, "only nonnegative number can have the even root". So, the radicand 8-x in the…

Q: If an absolute value function y = alx - h| + k opens up, which is true?

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Q: The cost to mmake j pairs of jeans can be represented as C(j) Which statement bekow is a true…

A: Given ,  The cost to make j pairs of jeans can be represented as C(j)  In C(j) , j is pair of jeans…

Q: Evaluate the different quotient (f(x)-f(a))/x-a, then ?(?) = 5 − 2? − 2?2

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Q: Give the domain of each of the following functions in interval notation. 2 r(x) 25 – x2 8 т(«) 36 +…

A: r(x) = -2/(25 - x2) 25 - x2 = 0 x2 = 25 x = ± 5 So, Domain : (-∞,-5) U (-5,5) U (5,∞)

Q: If(5, –2) is in the function f (x), then which of the following points will be in the function f'…

A: Given that (5, -2) is in the function f(x). So, we have f(5) = -2 and hence f-1(-2) = 5. Thus, we…

Q: Determine where the function is concave upward and where it is concave downward.

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Q: (d) On what interval(s) is f(x) ≤ g(x)? (Enter your answer using interval notation.) (f) On what…

A: Given graph, (d) The objective is to find on which interval f(x)≤g(x). (f) The objective is to find…

Q: If an absolute value function y = alx - h| +k opens up, which is true? O a is positive O a is…

A: y=a| x - h| +k

Q: نقطة واحدة For the function below... the * ?domain is (x + 1)3 y = (x² – 1) R R/{1} O R/{1,-1} O מ…

A: To find The domain of y

Q: Refer to functions p and q. Evaluate (qop)(x) and write the domain in interval notation. Write your…

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Q: 2² –4 if æ 3

A: The given function isf(x)=x2-4x-1if x<2ax2-bx+1if 2≤x<34x-a+bif x≥3

Q: pertains to the function (S) where s is the spced of travel that describes the time() it takes to…

A: According to guidelines, we solve only first three parts.

Q: Construct a table of values to investigate If r so x? - 2 if x > -1 Jim f(x)tf f(x) = *--1

A: limx→-1 fx if fx=1xif x≤0x2-2if x>-1  x -1.004 -1.002 -1 -0.998 -0.996 f(x) -0.9960 -0.9980…

Q: The functions f, g, and h are defined as follows. 4+x? f(x) = 5 + /x+6 g (x) = x+7 h (x) = Find…

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Q: According to the function f(x) = (x – 1)(x - 2) shown, which statement provides a true conclusion?…

A:

Q: Let 9x? f(x) = 2 . (3х — 4) (3- 2. (4x + 5)(a 24x + 16 - 4x2 + 9х + 5 1) The domain in interval…

A: In the question we have to find Domain and y , x  intercept points. AS PER OUR GUIDLINES WE CAN NOT…

Q: Which of the following intervals contains the root of the function f(x) = x³ + 3x* – 2x³ + x² + 4x…

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Q: (vii) If f(1) = 10 and f'(x) > 2 for 1 < x < 4, how small can f(4) possibly be? Give proper…

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Q: For Exercise, refer to the functions m, n, p, and q. Find the function and write the domain in…

A: Given,

Q: Refer to the functions r. p, and g. Find the function E x) and write the domain in interval…

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Given g(x) = radicand (x-7)

Q: (a) For which values of x is f'(x) zero? (Enter your answers as a comma-separated list.)

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Q: a. For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.) b. For…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Determine where F(x) is positive and where it is negative, write the answer in interval notation.…

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Q: Use the given functions f and g to find f +g, f-g, fg, and . State the domain of each. (Enter your…

A: fx=2x+4gx=x+2f+g=2x+4+x+2F+g=3x+6Domain=-∞,∞

Q: For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.) x =   For…

A: Given, the graph of function which has max value and min value at

Q: On which of the following intervals is the function g(x)=e* – 200x² concave down? (-5,5) (5,6)…

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Q: Given f(X) = 0 Which term or

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Q: Give the domain of each of the following functions in interval notation. 8. h(x) = 100 + x? k(x) = 9…

A: Given, h(x) = 8/(100+x²) The condition for domain is denominator must not be equal to zero. Here,…

Q: The position of a car traveling along a highway is given by the function s(t) = - + 31² + 20t – 3…

A: Given:     Function st=-2t33+3t2+20t-3    where t≥0 Velocity vt=ddt-2t33+3t2+20t-3…

Q: Write an equation for an absolute value function that has been reflected in the x-axis, compressed…

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Q: Refer to functions p and q. Evaluate (g o p)(x) and write the domain in interval notation. Write…

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Q: Find the domain of each function. Express the answer in interval notation. a) f(x) = Vx + 3 b) h(x)=…

A: Question (a) fx=xx+3

Q: Give the domain of each of the following functions in interval notation. 10 m(a) %3D 64+ 2 r(2) = 49…

A: Given: The functions mx=-1064+x2, rx=549-x2, To find: Domain of given functions.

Q: Given functions g(x) = 1 and p(x) = x? – 4, state the domains of the following functions using…

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