Using the properties of combinations of continuous functions, determine the interval(s) over which the function f(x) = is continuous. O (-∞, -3)U(-3,-2)U(-2, 6) U(6,∞) O (-2,2) O (-∞, ∞) O (-∞, -2)U(-2, ∞) x²-3x-18 x+2

Q: Find constants a, b such that function f(x) given below is continuous on the entire Real line.…

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Q: 3. Identify all of the discontinuities that exist for each of the following functions: a)…

A: A function is said to be dis continuous if there is a gap in the graph of the function. Some…

Q: f(x) = x* + x³ – 2x² For the above function state all intervals of x where f(x) is decreasing.

A: We know that if f'x>0 at a specific value of x, then the function f(x) is decreasing at those…

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

A: we have to find domain

Q: ) Find the values of the constant a so that the function f (x) will be continuous for all x. fax +…

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Q: The function below has the form f(x) = a · b² + k. %3D 14 Which of the following functions is shown…

A: Functions

Q: Determine the function's domain and range. 2) iesooni l nolo ed bidw ovo (e y Evalnate B) domain:…

A: This question is related to Functions, we will solve it using given information.

Q: Given x+ y +z= 5 and Po(2,2,1), find the following. (a) Find the equation for the tangent plane at…

A: Here is the solution

Q: Find the open interval(s) on which f(x) = -5x² + 50x+8 is increasing or decreasing. O increasing on…

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Q: + 2x? - 3x – 1 Which of the following is the interval in 3 f (x) = %3D which the function is…

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Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

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: Find the intervals f(x) = { -5, 3, -4 -2 8 6 -2 on which the function is continuous. x #2 x = 2 6 8…

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Q: For what intervals is f(x) = x* – 8z² +3 decreasing? O The graph is decreasing on the interval (0,…

A: givenf(x)=x4-8x2+3f'(x)=4x3-16xf'(x)=4x(x2-4)so critical points will be -2,0 and 2