Find the intervals on which the function  f(x)= \frac{7x-1}{x^3-4x}   is continuous.

Q: f(x) = 9x² - 4 at x = 1

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Q: How can we find the Absolute Extrema of a Continuous Function ƒ on a FiniteClosed Interval?

A: How can we find the Absolute Extrema of a Continuous Function ƒ on a Finite Closed Interval?

Q: Use interval notation to indicate where x2 – 1 - f(x) = x2 – 7x + 6 - is continuous. f is continuous…

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Q: Find the intervals where the function f(x) = 1 + 2x – x2  is increasing and where is decreasing.

A: NOTE: Refresh your page if you can't see any equations. . here we have an equation of a parabola…

Q: Find the limit of: limit of log5(8x-x4) as x approaches 2- (Use left hand limit)

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Q: Describe the intervals on which the function is continuous

A: Explanation: Given that,  f(x)=4x2+7x-2x+2     Concept Used: A function is always continuous if…

Q: Determine the intervals where the function f (x) = x ln x (x 7 0) is increasing and where it is…

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Q: Use derivative rules to compute f'(-1) given f (x) = -4x8-32x - 4.

A: f(x)=-4x8-32x-4Formula: xn'=n xn-1

Q: Use the second derivative test todetermine whether f(x)=-2x³+6x2-3 has a localmaximum or…

A: Given,          fx=-2x3+6x2-3

Q: Find the derivative of the transcendental function. h(x) = - 14 sec x X h'(x) = -5x2-14 secx-tanx

A: We need to find the derivative of the given transcendental function.               hx=5x-14secx

Q: How many x-intercepts can a function defined on an interval have if it is increasing on that…

A: It is asked to explain the number of x-intercepts can a function defined on an interval have if it…

Q: On which interval is the function f)= -x- increasing?

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Q: use th eproduct rule or the quotient rule to find the derivative of f(x)=(x^2+x-8)/x^2-8

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Q: Compute the derivative. f(x) = (2x 4 - 4x- 1) secx

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Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: y=x+2sin x Let take first derivative y=x+2cscxy'=1-2cotxcscxNow take second…

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

A: We know that, if f'(x)>0 on an interval, then f is increasing on that interval. Also if…

Q: Find the open intervals where f is increasing or decreasing.ƒ(x) = 2 + 3x - x3

A: Increasing or decreasing: If f'(x) > 0 then f(x) is increasing. If f'(x) < 0  then f(x) is…

Q: 3. If f(x) X-x find F(tanx) 1+x2

A: 7.The given limit is: limx→-∞x23x2-4x+1 To evaluate the value of the limit.

Q: Describe the intervals on which the function is continuous. f(x)= 4x2+7x-2 / x+2

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Q: A continuous function has a derivative at every point in a given interval. True or False?

A: function is differentiable means that function is continuous as well as smooth at every point of…

Q: = Find a continuous function

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Q: What is the Extreme Value Theorem for continuous functions?

A: Extreme Value Theorem According to this theorem, if a function y=fx is continuous in a given…

Q: Find all intervals where the function f(x) = x+ x- x is increasing.

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Q: True or False The cube root function is odd and is decreasing on the interval (-∞,∞).

A: we have to tell whether the given statement is True or False

Q: find the intervals on which f(x) is increasing and decreasing. then sketch the graph. f(x) = 7 --…

A: We use first derivative to find out where function increasing or decreasing  when f'(x)<0 then…

Q: Use secant method to estimate a root for function f(x)= x3 + 2.7x+ 2.6 = 0, starting for interval…

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Q: a) f'(-3) where f(x) = 5-3x

A: Derivative using definition

Q: Use derivative to identify open intervals on which the function is increasing or decreasing.…

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Q: (f°9)(x) if f(x)=2x3 +1 and g(x)=6x +5

A: We have to find the composition of the function then have to find the second order derivative.

Q: Write the intervals (within the practical domain) when the first derivative is increasing and…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: use the derivative to identify open intervals on which a function is increasing or decreasing…

A: To find the interval on which the function is increasing or decreasing on using the derivative of…

Q: What are the intervals of monotonicity of f(x) = arctan (2(x-1)) - ln IxI ?

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Q: How would you define f(2) in order to make f continuous at 2? limx→2 x^3-8/x^2-4 show ALL of your…

A: Let's solve limit problem.

Q: Suppose we know that f(x) is continuous and differentiable on the interval [-7,0], that f(-7) = -3…

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Q: Use the graph to estimate the open intervals on which the function if increasing or decreasing, Then…

A: Given that: The equation of the function f(x) =1(x+1)2 . Graph:

Q: Find continuous functions

A: Given,        fn:0, 1→[0, ∞)

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

A: Increasing and decreasing functions: f(x)=x4-4x3+4x2 Increasing function Let y=f(x) be a…

Q: What is the sign-preserving property of continuous functions?

A: What is the sign-preserving property of continuous functions?

Q: 2. Is the function f(x) =² continuous on the closed interval [-1, 1] ? Draw its graph illustrating…

A: Given problem:- Is the function ƒ(x) = 3/x continuous on the closed interval[−1, 1]? Draw its graph…

Q: Find the intervals of monotonicity of the function f(x)=1−sinxcosx.

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Q: Determine whether the function shown is continuous over the interval (-5, 5).

A: We will determine whether the function is continuous over the interval (-5, 5) as following.

Q: Give the result of every step in using the 4-Step Rule to find the derivative 14. f(x) = x3- 4x² + x…

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Q: Please find f'(2) if f(x)=tan(5x). Show steps

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Q: Determine the intervals of concavity for the function f(x) = xex .

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Q: Find the intervals where f(x) = x -x is increasing

A: We use the first derivative test to find the intervals where the given function f(x) is increasing.

Q: Is the function continuous at the point being approached?

A: The given function is limy→1sec(y*sec2y-tan2y-1)   We have to check whether this function is…

Q: Describe the intervals on which the function is continuous.                           f(x) = (4x2 +…

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Q: Determine the interval(s) on which f(x)=square root(x/x-4) is continuous.

A: Given query is to find the interval where function is continuous.

Q: What value should be assigned to f(2) so that the extended function is continuous at x=2

A: Given graph of f(x)