Find the domain of the function. (Enter your answer using interval notation) f(x) = x^4/x^2+x-72

Q: For the value of x does the function F(x) = x3 - 3x2 attain the absolute maximum in the interval…

A: For absolute maximum and minimum we need to calculate the value of f (x) on critical points and…

Q: Find f( - 1)  if f(x) = 2x2 - x.

A: Consider the given function. fx=2x2-x We have to find the value of f(-1). So, put -1 for x in the…

Q: Without graphing, describe the end behavior of the graph of the function. Ax) = 1- 2x - x

A:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: Consider the given function: fx=3x4-30x3+x-3 Here, the objective is to determine the interval in…

Q: Determine where the function is concave upward and where it is concave downward. (In interval…

A: We find the point of inflections by solving f"(x)=0

Q: Determine the domain and range of the function. 3+ 1+ 4 -3 -2 -1 -2 -3-

A: We have to determine domain and range

Q: Determine the intervals where the function is positive and negative. Submit your solution in…

A:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A:

Q: What is the graph of a real-valued function of a real variable?

A: What is the graph of a real-valued function of a real variable.

Q: Find the domain of the function. Give result in interval notation  f(x) = 8/√8−4x

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: Givenfx=3x4−18x3+x−7

Q: An algebraic expression in two or more variables describing a quantity that must be maximized or…

A: An algebraic expression in two or more variables describing a quantity that must…

Q: (1 point) If f(x) = 7+ 2x – 4x² then f'(-4) =

A: Solve the function

Q: Using the second derivative test, find whether the function: x^3-9x^2-48x+52, has a local minimum or…

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Q: Differentiate the function. 4x -3) -5 f(x) = - 5 5x +5 f'(x) =

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) x + 9 if x < -3 f(x)…

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A:

Q: The life expectancy at birth of both sexes in a particular year can be described by the function…

A: Life expectancy in a perticular year can be described as,                      f(x) = 11.67 + 14.73…

Q: Givn f(x)=2-5x..    f(10) = ____ f(-11) = ____ f(-14)=_____ f(9)=____

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Q: Determine the absolute maximum of f(x) = 2x3 - 5x2 - 16x + 6 on the interval [-2,3]

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Q: Suppose that a company’s weekly profit is given by the function P= -0.2x^2 +100x-2000 where x is the…

A: the given profit function is P=-0.2x2+100x-2000 the average profit function is given by P¯=Px…

Q: If equations for two functions are given, explain how to  obtain the quotient function and its…

A: Given: The two equation are given say f(x) and g(x): We have to explain how to obtain the quotient…

Q: Find the absolute maximum and minimum values of  f(x)= 3x4 - 2x3 - 63x2 on the interval [-2,3]

A: Find absolute extrema for the function.

Q: find f(-x) when f(x)= -3x2+4x-3

A: f(-x)= -3x2 - 4x - 3

Q: -4 -2 4 2. 2.

A:

Q: Can a quadratic function have a range of (- ∞, ∞)? Justify your answer (Please dumb it down)

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: To find the concavity intervals, double differentiate the function f(x)…

Q: how how to expand the function f (x) = 2x4 – 3² + x + 7 %3D

A: Given,                                     f(x) =2x4-3x2+x+7…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A:

Q: How to do intermediate value thereom f(x)=2x3+6x2-8x+2 : [-5,-4]

A: Consider the given function

Q: The function f(x) = 2x° – 27x + 84x + 5 has one local minimum and one local maximum. - This function…

A: To find maxima and minima point we will first calculate critical points by pitting f'(x) = 0.

Q: How do you find the domain of a function in interval notation?

A: Domain is related to input values .So to find the domain, we have to check the restrictions on the…

Q: Differentiate the function. f(x) = 16{x – 3 +2x

A: Given   f(x) = 16 x4-3+2x     now differentiating 1 w.r.t. 'x ' , we get    f'(x) = ddx16x14-3+2x…

Q: Differentiate the function. f(x) = x²(x + 8) f'(x) = x³ (x + 8) 3 X

A: In this question, we need to find the derivative of the given function.

Q: Find f(-x) when f(x)=-3x2+3x-4

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Q: what is the domain of f(x)? use interval notation -2 -し

A: To find the domain of the function where the function exist.

Q: How can I make a table that can be a function with a good real-life scenario like the example…

A: A relation is a function when corresponding to each input values, there must be exactly one output…

Q: - 9α+4 f (æ) 5x2-8

A: To differentiatef(x)=-9x+45x2-8

Q: Differentiate the function. 7-x f(x) = 2+x f'(x) =

A:

Q: Please explain how to find the x intercepts and the domain of f(x). Please explain how to write in…

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Q: For what value of X does the function f(x) = X3 - 3X2 attain the absolute maximum in the interval…

A: topic - absolute maximum of a function

Q: 4-

A: The Domain is (-2,8) and the Range is (-4,-1).

Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) = /x+ 5 --

A:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: GIVEN

Q: positive root of  x3  -x-3 = 0 ,

A: Function is fx=x3-x-3 Positive roots of fx=x3-x-3 by graphing method

Q: Can a quadratic function have a range of ( - ∞, ∞)? Justify your answer.

A: we have to justify the given statement   The given statement is can a quadratic function have a…

Q: find difference quotient f(x)= 3x^2-x+1

A:

Q: What is the graph of a real-valued function of a real variable? What is the vertical line test?

A: The graph of a real-valued function is a line, straight or curve which shows the variation of one…

Q: Determine the interval in which the function is decreasing for y=2x^3-9x^2-24x-10 without graphin.…

A: You can  use the first derivative to find intervals of increase and decrease and accordingly write…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.