Graph on a number line the following functions: 1. {x|XE R, -31}

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A: Let us consider G(x) and find its derivative.

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A: The objective of the question is determine the value of "b".

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A: Given f(x)=x+6    and  g(x)=x+7we have to find domain of f(g(x))  and domain of g(f(x))

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Q: Graph the interval on a real number line 3) 3x + 4 > -2 and 3x + 4 < 10 +++++ -7 -6 -5 -4 -3 -2 -1 0…

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Q: -1 Find f (x) for f (x) = 13 + 14x. Enter the exact answer.

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Q: 2 14 6 (a) For which values of x is f'(x) zero? (Enter your answers as a comma-separated list.) -3,…

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A: It is given that,the function             g(x)=1f(x)         where f(3)=4, f'(3)=-3 we have to find…

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Q: Write each of the following inequalities in interval notation: 7. 0 < |x – 2| < 0.1 8. 0 < |x+ 3| <…

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

Q: 6. Write each of the following using interval notations: a. {x| -4 sx< 10} b. {x |x < 0} {x | 12 <…

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Q: If a positive real number is added to the output of a function, y = f(x) , the graph of the new…

A: y=f(x) is a function The new graph is y=f(x)+k⇒There is a vertical translation up by k units

Q: Graph the functions f(x) = xn for n = 2, 4, and 6 in a [-2, 2, 1] by [-1, 3, 1] viewing rectangle.

A: To Graph: f(x)=xn for n=2, 4, 6 in a -2, 2, 1 by -1, 3, 1 viewing rectangle. Explanation: as given,…

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Q: Suppose that f(5) = 1, f '(5) = 6, g(5) = -3, and g'(5) = 5. Find the following values.

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Q: Graph the function and state domain and range using interval notation. F(x) =  square root of x+1

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A: Consider the given number x x&gt;-1 Since, x&gt;-1⇒x∈-1 , ∞

Q: Suppose that f(5) = 1, f '(5) = 7, g(5) = −5, and g'(5) = 8.Find the following values.

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Q: s as a comma-separated list.) ncreasing or decreasing. (Enter your answers using interval notation

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Q: The following is the graph of the function f(æ) = { 4+x – x2 if x 2 if –1 < x < 2 3x - -4 0- -5 -10…

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Q: If g(x) = - 3 f(x), where f(6) = 10 and f'(6) = - 4, find g'(6). Express your answer as an integer,…

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

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Q: Suppose that f(5) = 3, f'(5) = 7, g(5) = -6, and g'(5) = 1. Find the following values.

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Q: Given the function R(x)=x−6 over x+6, find the values of x that make the function less than or equal…

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Q: 2. Determine the domain and range of h(x) =

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