Let f be the function defined below, where c is a constant. If f is continuous at x = 1, what is the value of c? f(x) = { 6 + cx for x < 1 19+21nx for x ≥1 O 3 O 5 O2 O 9

Q: State the interval(s) over which the function f(x)=√x² + 10x + 25 is continuous. If there are…

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Q: Which of the following expressions has a domain that is a subset of the domain (i.e. set of all…

A: We can find the domain of each function and then find the answer.

Q: Let f be the function defined above, where k is a constant. f(x) = x²+kx-2 3x²+4x+3 x³ + 2 0 2e 2-e…

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Q: d. L-1 f. L-1 h. L-1 1 - 3s 3s²-5 S-7 - 10s + 29 s²+2s 4 s4 +25³ +5²

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Q: Which of the following statements is true about the function f(x) = x' - 6x²? a. The graph of f is…

A: We will check second derivative to find concave up and concave down.

Q: Find the values of x for which the function is continuous. f(x) = X - 7 x² + 2x - 63 O x # 9 O all…

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Q: for a 16 a. Determine the differentiability of the function at z = -2 and a = 8. Explain why the…

A: We are given with function d(x) for x=-2 , we use the first function  d(x)=|4-x2| When we graph the…

Q: Let g be the function g(x)=x²-x. Find g(-a). O None of these. O-a² + a O a² +1 O-a²-a O a² + a O…

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Q: (c) Show that f(x)>0 for all values of x, x # -2.

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Q: Let f (x) be the function given below. Find all x values where f(x) is discon- tinuous. A. x = 2,3,4…

A: Step 1:Step 2:Step 3: Step 4:

Q: Let n be a nonzero integer. Find a domain on which the function                       f(x) = (1 -…

A: Let f(x)=y. Then y=(1-xn)1/n. In order to write the inverse function expression write x in terms of…

Q: find functions f and g so that f ∘ g = H.

A: It is given that;  H(x)=x2+1 and; (f∘g)(x)=H(x)

Q: Find the domain (in interval notation) of the following functions

A: Given function is,

Q: Determine whether the following function is continuous at the given point z- 3z+ 14z -5 f(2) 3z -1…

A: A function fx is continuous at x=a if limx→a-f(x) = limx→a+f(x) = f(a)  Given: fx=3x2+14x-53x-1…

Q: (a) Calculate lim f(x) if it exists. If it does not exist write “DNE”. x→4 lim f(x) x →4 - (b) Find…

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Q: For what value of k will the function f be continuous on (-∞, ∞)? x² 2 f(x) = = x + 3 k if x # -3 if…

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Q: Find the value of b such that the function f is continuous everywhere. ƒ(x) = b |5-x| x² - 7x + 10…

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Q: Determine whether Rolle's Theorem applies to the following functions on the given interval. If so,…

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Q: 3. and g(x): 1 be functions. Which of the following is the domain of the composite function (f o…

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Q: Make a table of values for f(x)=x²- 4 showing function values for x = 4, 6, 8,....

A: It is given that the function is fx=x2-4. We have to find the value of this function at different…

Q: . Consider the function defined by f(x): x2 if x 3 . Which of the following statements is true, for…

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Q: Suppose f (x) =- E. Evaluate: |x+1 f(x)dr

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Q: Determine whether the following function is continuous at the given point r = 3x2 + 17x -6 1 f(x) =…

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