f(x)In (7x-4)

Q: What is the domain of the function g(x)=x2-3 use interval notation

A: Given: gx=x2-3 The domain of a function g(x) is the set of all values for which the function is…

Q: Find the extreme values on the interval:   f (x) = 6x4 − 4x6, [−2, 2]

A: Derivative determines the change of variable with respect to another variable. When we equate first…

Q: For f'(x) = 100x(2x+3)(x-5), use sign chart to determine the intervals on which f is increasing or…

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Q: Determine the open intervals on which the function f(x) = x3 − 3x2 + 2 is increasing,decreasing, or…

A: Function is increasing if it has positive slope, decreasing for negative slope and constant if slope…

Q: Find the points on the graph for the function at the value f(x) = 3. x2 7x + 12

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Q: Find the intervals on which f (x) = x2 − 2x − 3 is monotonic.

A: we have to find the interval on which f(x) = x2 − 2x − 3 is monotonic.

Q: Find the domain of the function f(x) = /2x – 3 - In interval form, the domain of f is

A: here function is given in form of square root this can't be negative so the value inside is positive…

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = -2x4…

A: ƒ(x) = -2x4 + x2 + 10 We need to  Find the intervals on which ƒ is increasing and the interval on…

Q: Find the intervals on which f (x) = x(x + 2)(x − 3) is positive by plotting a graph.

A: The graph of the given function is shown in the figure below.

Q: Consider the function f(x) = 2x + 9x² – 108x +1 with - 6 < x < 4 -

A: Given,         fx=2x3+9x2-108x+1   with   -6≤x≤4

Q: Find the domain of the function f(x) = In(4 - x2).

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Q: find domain in interval notation f(x)=1/2x-6

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Q: Find the open intervals on which the function, fx) = 12x – x°, is increasing or decreasing.

A: We have to find the open intervals on which the function f(x)=12x-x3 is increasing or decreasing .

Q: Find the domain of the function written in interval notation. f(x)= square root of x-4 divided by…

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Q: Find the intervals on which f(x) =x2-3x+8 is increasing or decreasing

A: Applying the property of increasing and decreasing

Q: The graph of f(x)=-x-5x+6 has the point (2, -6) on it. O True O Fals

A: Ans: False

Q: What is the domain in interval notation of the function scrt(x-4)/scrt(x-6)

A: Solution:function :- x-4x-6∵we know that the value in the square root can not be…

Q: What values of x would be found in the in the domain of function f(x)=10/x-2

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Q: Find the value of x in f(x) = x^2-6x+8

A: Given ,  f(x) = x2 - 6x + 8 We have to find the value of x  x2 - 6x + 8 = 0  x2 - 4x - 2x + 8 = 0

Q: In the function:  f(x)= (9x^2)/ ((x^2)-49) Indicate the domain and range in interval notation.  What…

A: Denominator of the function can not be equal to 0.

Q: What is the domain of f (x) = In(1 – x²) ? Write your answer in interval notation

A: Domain of the given function is given by

Q: Find the intervals on which the function is increasing or decreasing where f'(x) = 4x³ – 4x.

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Q: Explain why the function has at least one zero in the given interval.

A: The given function is f(x)=x3+5x-3 ,  0,1

Q: Determine the interval on which the function f(x) = x2 + 16x+ 13 is increasing.

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Q: Find the intervals on which f(x)=2x/x^2+9 decreases

A: We have to find interval where f(x) is decreasing .f(x) is given by

Q: Find the open intervals where f is increasing or decreasing.ƒ(x) = x2 + 9x + 8

A: Function calculator: f(x)=x2+9x+8 To get maxima and minima we get f'(x)=0

Q: Find the domain of the function in interval notation  g(x)= x/ x^2-49

A: We need to find out the domain of the function given.

Q: Find f'(x) for the function. f(x) = 8x3 - x + 1 f'(x) =

A: Given f(x) = 8x3-x+1 We know that d(xn)/dx = n•xn-1

Q: Use the intermediate value theorem to show that the function f(x) = x³ – 3x + 1 has an x-intercept

A: Intermediate value theorem

Q: f(x) = x³ – 3 %3D

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Q: Find the open intervals on which the function f(x)=-3x2+4x+5 is increasing or decreasing.

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Q: Use the Intermediate Value Theorem to show that the given function:  f(x)= 3x3-10x+9 has a zero in…

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Q: Find the domain of the function using interval notation.   f(x)=−2x(x−3)(x−5)

A: Since f(x) = -2x(x-3)(x-5)  is a cubic polynomial. And we know that the domain of all polynomial…

Q: 7. Find the domain of f(x) = V² + 2x – 3 and write it in interval notation.

A: The solution is given below.

Q: f(x)%3D2X-1

A: Given, f(x) = 2x-1

Q: Find the domain and range of the function. (Usel interval notation.) f(x) = 9x

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Q: Find the intervals on which the function f(x) = x² – 6x + 10 is increasing and decreasing.

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Q: Find the domain of the function in interval notation: f(x) = Vx + 22

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Q: Explain why the function has at least one zero in the given interval.

A: To explain why the given function has at least one zero in the given interval.

Q: What is the upper and lower limit for the function : f(x) = −12x2 − 37x − 21

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: x+6 f(x) = X-2

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Q: Find the intervals in which f (x) = x3 - 3 x + 1 is increasing or decreasing

A: Find the intervals in which f (x) = x3 - 3 x + 1 is increasing or decreasing.

Q: Use the graph of f to solve f (x) = -3 for x .

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Q: Find the open intervals where f is increasing or decreasing.ƒ(x)=20 - 2x - x2

A: Consider the given function fx=20-2x-x2. Obtain the derivative of the given function as follows.…

Q: Find the absolute maxima of f (x) = 2x³ – 6x in the interval

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Q: Find the intervals of concavity of the function g(x)=2x4+9x3

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Q: Give the range of the function in interval notation f(x) =2(x+1)2 + 7

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Q: Find the open intervals on which the function is increasing or decreasing.        h(x) = 12x − x3

A: Given function - h(x) = 12x-x3let's find the critical point of the function h(x) , by h'(x) =…