Determine the number of possible positive and negative zeros for the given function in accordance with Decartes's Rule. f(x)= 5x7-9x4+4x3+8x2+4x+7

Q: Find the zeros of the function f(x) = (x + 3)/(2x2 − 6)algebraically.

A: To Determine: Find the zeros of the function algebraically. Given: we have a rational function…

Q: The maximum value of f(x) is 1+4x+x2

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Q: Find the range of the quadratic function F(x)= 3x^2+6x Use interval notation

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Q: The function f (x) = – 2x3 + 33x? 168x + 9 has - one local minimum and one local maximum.

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Q: The extreme points of the function f(x) = x3 – 6 x² + 9x + 1 are:

A: We have to find the extreme points of the function f(x) = x3 - 6x2 + 9x + 1 .

Q: f(x)=x4+x3-2x2  algebraically calculate the coordinates and multiplicity of any x-intercepts for…

A: Given thatf(x) =x4+x3-2x2To find the coordinates and multiplicity of any x- intercept of f(x).

Q: the absolute or minimum if it exists.

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Q: Find the maximum or minimum value of the function. f(x) = 3 - 4x - x2

A: f(x) = 3 - 4x - x2

Q: Find the zeros of the function algebraically.f(x) = 3x2 − 16x + 21

A: To find the zeros of a quadratic algebraically means find the zeros by factoring the quadratic…

Q: Find the zeros of the function f(x) = 3x + 18 algebraically.

A: Given;            fx=3x+18 Solve for x:          3x+18=0

Q: Find the local minimum and maximum values of the function    f (x) =  3x4  -4x3 -12 x 2  +5

A: Given function is fx=3x4-4x3-12x2+5. Compute the derivative. f'x=3x4-4x3-12x2+5'=12x3-12x2-24x…

Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function (g ∘ f)(0) without finding an…

A: Given: f(x)=2x-5g(x)=4x-1h(x)=x2+x+2 We have to find the value of (g∘f)(0).

Q: Find the f'(x) of f(x) = -2x³ + x⁴ + 2 over 3

A: Given:  f(x)=−2x3+x4+23 To Find: f'(x)=?

Q: Find the zeros of the function f(x) = x3 − 4x2 − 9x + 36 algebraically.

A: f(x)=x3-4x2-9x+36

Q: Find all real zeros of f(x) = x3 − 12x2 + 36x. Then determine the maximum possible number of turning…

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Q: Find the domain of the function:h(x) = 6/(x2 − 4x).

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Q: Find the all maximum and minimum values of the function f(x) = 4x3 – 6x2 + 8, given the domain…

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Q: Find the domain for (f- g)(x) when f(x) = v9x +7 and g(x) 10 8x

A: The domain of a function f(x) is the set of all possible values of x for which f(x)  is defined.

Q: Find the domain of the function.

A: The given equation is qx=2+x3-x.

Q: Find the zeros of the function algebraically.

A: The question is taken from the Function topic and the question asking about the zeros of the…

Q: Find the absolute maximum and absolute minimum values of the function f(x) = x³ – 12x² – 27x + 10

A: to find the critical points take derivative=0

Q: S(x) = x³ – 3x² – 3x + 1

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Q: If exists, find the local maximum, minimum and inflection points of the function. f(x)=…

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Q: Find the domain of the function g(x) =3/(x2 - 2x - 15)

A: The given function is gx=3x2-2x-15.

Q: determine the number of possible positive and negative real zeros for the given function f(x) = -8x7…

A: The given function,

Q: Find the domain of the function  f(x)= In(x^2+5x+6)

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Q: Find the zeros of the function algebraically. f(x) = 2x2 - 3x - 54

A: Given function is fx=2x2-3x-54. To find the zeroes of the function. Solution: Finding zeroes of the…

Q: Find the domain of the function. 3x 5) g(x) - 6) x2 -1 Vx-2

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Q: . Given f(x)=-x²+4x+12, 05x58: (a) Carefully, graph f(x), 0sxs8.

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Q: Evaluate the function g(x) = 3x2 - 5x + 2 at the given values of the independent variable and…

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Q: Find the domain of the function : f(x) = (7x + 2) / (x3 - 2x2 - 9x + 18)

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Find the domain of the function : g(x) = 3/(x2 - 2x - 15)

A: Given: gx=3x2-2x-15 we know that for any given rational functionfx=pxqx domain is denominator is not…

Q: Find the f’’(x) of x3 – 5x + x.

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Q: Find the asymptotes of the functionf(x)=x2−2x−3 / x.

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Q: The graph of function f(x) = 5x – 7x² – 8 is concave - downward on

A: For the given Function  f(X) is concave downward on (-∞, 7/15)  So none of the options is correct.

Q: Given the function f(x) = x³ + 3x² + 3 - 4, determine the absolute maximum value of f on the closed…

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Q: Find all zeros for the function f(x) = x4 - 8a3 + 3x2 + 40x - 12

A: Here we use quadratic formula. For quadratic equation ax2+bx+c =0 Then x =-b ±(b)²-4ac2a

Q: Find the zeros of f (x) = x^(4)-4x^(3)-12x^(2) pre caluclus

A: Given : f(x)=x4-4x3-12x2 To find : We have to determine the zeros of f(x).

Q: Determine the concavity and find the inflection points of the function ƒ(x) = x3 - 3x2 + 2

A: Given function  f(x) = x3-3x2 + 2  The first derivative is f'(x) = 3x2 - 6x    and the second…

Q: Suppose f(x) has a zero at an x-value of 3. What would a zero of g(x) be if g(x) = -2f(3x + 1)? %3D

A: Given that f(x) has a zero at x = 3, it means f(3) = 0To find the zero of g(x), where g(x) = -2f(3x…

Q: Find the zeros of the function. F(x) = (x² + 7x + 10)(x – 3) %3D

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Q: Find the maximum or minimum value of the function. f(x) = −x2 + 10x − 14

A: The given function is

Q: What is the degree of the function g(x)=-2x (2x-1)(x+1)*

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Q: Find the stationary points and stationary values of the function f (x)=2x'+x² - 20x +5.

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Q: Find the maximum value or minimum value for the function. f (x ) = -x2 + 6x + 4

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Q: Use the vertex formula to find the vertex of the graph of the function. f(x) = 2x2 - 3x + 7 (x,…

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

Q: Find the zeros of the function algebraically. x2 – 10x + 16 f (x)= 7x

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Q: The zeros of the function f(x)=x'-9x are 1) 9, only 2) 0 and 9 3) 0 and 3, only 4) -3, 0, and 3

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