Consider the function f whose graph is drawn below. For which values of x is the function differentiable? 2 (4,2) (6,-2) Select one: O x e R \ {0,2, 6} O x E (-∞, 0) U (0, 4) U (4, 6) U (6, ∞) O x € (-0, 0) U (0, 4) U (4, 0) O x E R \ {2}

Q: 3. Let f(x) = x² + 3 and g(x) = Vx – 3 be functions defined on [0, ∞) and [3, 00), respectively. i.…

A: According to question,  Given functions, f(x) = x2+3, g(x) = x-3 Function fx defined on interval :…

Q: Which of the following describe y as a function of x? (1) x2 3 0 V 3 9 -4 O(3) only O(2) and (3)…

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Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(x + 1) + 2

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Q: Determine whether the given set of functions is linearly independent on the interval (-o, ∞). f1(x)…

A: The solution is given as

Q: find the domain of the given function. f(x, y) = X-y %3D D=R -{(a,-a)}.A O D=R?-{ (a,-a)}.B O…

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Q: Find the doma in of the function. Vx-2 g(x) = %3D X-5

A: we have to find domain

Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(-x)

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Q: a. The function f(x) is represented by f(x) = 2x. The linear function g(x) passes through the points…

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Q: Use the graphs of f and g to evaluate g(f(2)) y (2,4) (4,3) (-2,1) f (2,-2)

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Q: Let f = {(1,1), (2,3), (0, –1), (–1, –3)} be a linear function from Z into Z. Find f(x)

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Q: Please include your clear and readable solution. Thank you

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: If y =f (x) is a function in x then prove that f(a + nh) ="C,f(a) +"C, Aƒ(a) +"C,ƒ(@) + +"C, A"…

A: Given: y=fx is a function in x Prove that: f(a+nh)=C0nfa+C1n∆fa+C2n∆2fa+…+Cnn∆nfa…

Q: A function f is given. f(x) = Vx + 4 (a) Sketch the graph of f. y y 10 10 - 10 -5 5 10 - 10 -5 10 -5…

A: The graph of a square root function is a curve.

Q: 1.) Given the function f(x,y)= 2+y=x² find and sketch the domain of f.

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Q: What is the domain of the function f (x) : (-1,0) U [1, 00) b. (-1,0] U (1, ∞) c. (-00, –1) U [0,1)…

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Q: Let X-(3, 4, 6, 8). Determine whether or not the relation R = {(x, f(x)) :x - X, f(x) %3D = x2 + 1}…

A: Solution is given as: Hope the answer is helpful.

Q: Determine whether the given set of functions is linearly independent on the interval (-00, 00⁰).…

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Q: F(X) = 2x,x,X3 - 4x,x3- 2x,X3 + x,2+x,2+x3? – 2x, – 4x2 +4x3

A: Topic:- Differentiation

Q: If f(x) = v(x - 1)/ (x - 9), then the domain of f is given by the interval A. (1, +00) B. (-3, +3)…

A: The given function is  f(x) = sqrt[(x - 1)/(x2-9)]

Q: 7. Consider function below. What is the value of fl-5); f(0); 3) respectively? (4x+11, -10 Sx<-2 fx)…

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Q: Find the domain. f(x) = 7x - 1 O {x[ x is a real number and x + 0.1428571 O {x[ x is a real number…

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Q: Find the range of the function y = -2|x – 3| + 2. O (-∞,2] O (-∞, ∞) O (-∞, 2) O [2, 0) O [3, ∞) O…

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Q: Evaluate the function at the specified points in the figure below

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: Which of the following is not a function of x? Vx-4 a b x* +y = 4 C xy = 1 x² +y? = 1 d. %3D y = |x|…

A: Solution Y is a function of X if we can find it uniquely by x.

Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(x) + 1

A: g(x) = f(x) + 1 Using the graph of y we need to draw the graph of g(x).

Q: Sketch the graph of the function. f(x) = In(|x|) 3 U

A: Given  f(x)=ln(|x|)write as piece wise function f(x)=ln(-x)     for x &lt; 0ln(x)         for x &gt;…

Q: Find and sketch the domain of the function. f(x, y) - In(4x2 - 4y²) y

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Q: For the function y = f(x) given graphically below, find all x numbers such that f(x) = 2 Ox = -3, 3…

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Q: Find the domain of the function. if x 6 O(-0, 0) U (0, 2] U (6, 0) O(-0, 0) U [2, ∞) O(-∞, 2) U [6,…

A: The domain of a function is the set of input or argument for which the function is real and defined.…