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

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Q: F(x) =: (3, 7), [-6, 4), (-∞, 0), (-5, +∞), [-5, +∞), [10, -5) %3D x+5 E F(x) =: (0, 1), (-1, 1),…

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A: Graph of f(x):Inflection point:Graph of f(x):

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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

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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: Let f:R → R be the function with rule f(x) = 5x + 2, and let g: R → R be the function with rule y –…

A: To find  f0g(-1)  And  f0g(6)

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 values of a and b that make f continuous everywhere. x² - 4 if x < 2 f(x) = x-2 ax² if 2 ≤…

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Q: Find numbers a and b, so that f is continuous at every point.  f(x)= 20 , x-1

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Q: Determine if the given function is continuous on the given point and intervals. Зх - 3x – 5, xs-1…

A: We know that, a function fx is said to be continuous at x=α if and only if limx→α-fx=fα=limx→α+fx We…

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Q: $42] B. (-∞0.42) C. (-∞,21] C

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Q: Let f(x) = 2 + 1+ (x + 1)2 Determine all critical values of f. If there is more than one, enter the…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

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: EXercises - I5 § conlinumus ad.xaz X72 X=2 Xくス -2X

A: Since you have posted multiple question in this question thus I have solved first question as per…

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Q: For what intervals is the functionf(x) = concave up? %3D O The graph is concave up for the interval…

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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

Q: Explain why the function h is discontinuous at a = -2. 1 x = -2 h(x) = x + 2 1 x = -2

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…