Use the Leading Coefficient Test to determine the end behavior of the graph of f(x) = x* – 4x?.

Q: Sketch the graph of f.

A: Consider the given information. fx=ex-2 Make the table for the function. x fx=ex-2 -2 e-4 -1…

Q: Use the graph of f(x) = 3√ x to obtain the graph of g(x) = -3√x.

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Q: What is the maximum point on the curve = 2 + 12? − x3

A: Maxima minima problem

Q: Sketch the graph of f.

A: fx=-4x-22 Since the denominator is zero at x=2, therefore it has the vertical asymptote at x=2.…

Q: Express f(x)= x2 +4x + 1 in standard form. Find thevertex of the graph and the maximum or minimum…

A: We will complete the square for f(x) Answer(a): Standard form: f(x)= (x+2)2 -3

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 point at which the line f(x) = - 3x 3 intersects the line g(x) = - 2x

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Q: Sketch the graph of f.

A: Given- fx=4x2x-5 To draw- The graph of the above function.

Q: If r is a zero of even multiplicity, how come the graph of f doesn’t just cross the x-axis at r?

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Q: Select the graph of the function. 2x +1 x<0 f(x)= 1-x x20

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Q: Use the Leading Coefficient Test to determine the end behavior of the graph of f(x) = x4 - 4x2.

A: The given function is Here, degree(the highest power) of the polynomial is 4 and leading…

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of f(x) = 2x3(x - 1)(x +…

A: Now the leading term is,

Q: The graph of function f(x) = x³ 6x2 + 9x + 1 is concave upward on (-∞, 2) (-0, 0) (2, оо) о (-2, 2)

A: f is concave up when f''(x) is greater than 0

Q: How are the zeros of g(x) related to the standard form of the function?

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Q: Use the graph of f(x) = 3√x to obtain the graph of h(x) = 3√-x.

A: Obtain the graph of hx=-x3

Q: Differentiate the function f(x) = In(6x7 – 4x) + v2 – e3x. - -

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Q: urve: f(x) = x4 − 6x2

A: Given,          f(x)=x4-6x2

Q: Find the slope of f(x) = -3x2 – 6x at x = 1

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Q: Sketch the graph of the function f. -{"2x+3 Sx - 6 if x s 3 if x > 3 (x)

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Q: Sketch the graph of f(x) = Vx - 3 + 4.

A: Given: fx=x-3+4 . Here, the given function is defined only x≥3. The different values of y for x≥3…

Q: Find the slope of f (x) =e8x-10 at x-1.

A: The function is given by fx = e8x-10 The point is  x = x0 = 1 Formula: The formula to evaluate the…

Q: 4. Using at 7 points, graph the function f(x)=2x

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Q: Sketch the graph of the function f. Sx - 3 f(x) 1-2x + 3 if x s 2 if x > 2

A: Given that: f(x)=x-3,      if  x≤2-2x+3,  if x&gt;2

Q: Find the absolute maximum and absolute minimum of the function f (x) = x³ – 3x²+8 on the interval…

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Q: 28)Use the graph to solve a) f(x)0 -fx)

A: To solve the given equation and the inequality , straight from the graph of y=f(x).

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = lxl - 4.

A: Given function is fx=x. To transform gx=x-4 from the graph of fx=x. Since the graph of g has -4,…

Q: Find the slope of f(x)= (x^2-1)-(2x-3) at x=2

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Q: Find the absolute maximum and absolute minimum values of the function f(x) = -x3 + 12x + 6, over the…

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Q: 9. Sketch the graph of f(x) = x(2 − x)3(x + 1)2 using only roots and end behavior.

A: We have  f(x) = x(2-x)3(x+1)2 We find the roots by putting f(x) = 0. Then, we have either   x = 0…

Q: For what value of x does the function g(x) = -x – 2x? attain the point of inflexion?

A: i have used the necessary and sufficient condition for point of inflection and obtained x=2 is…

Q: Sketch the graph of the function. 4+x if x < -2 f(x) = {x2 %3D if -2 sx < 2 6- x if x 2 2

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Q: Sketch the graph of f.

A: Given: fx=2x+12 For drawing graph of given function, we use graphing utility  So, graph of given…

Q: Use the Chain Rule to differentiate the following function. +4-3x = (x),}

A: The given function, f(x)=x4+4-3x2

Q: Sketch the graph of f(x) =1−2x /(x−3)^2close to x = 3

A: First list some coordinates for the given relation as shown in below table.

Q: What is the multiplicity of the zero at x=-2 of the function represented by the graph?

A: Given,           The function represented by the graph is shown below :           To find : What is…

Q: x2+6x+8 . f (x) = %3D x²+7x+12

A: An asymptote is a line or a curve that the graph of a function approaches. Vertical asymptotes occur…

Q: Find the point on the graph of the function f(x) = (x + 5)2 that is closest to the point (1,3). %3D

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Q: Find the internal where the function is increasing and decreasing for  g(x)= x-x^3

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Q: Find the all extreme points of f(x) = x³ – 6x2 + 9x – 3 is or [-2, 2] ? |

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Q: Find the greatest and the least values of the function y = x³ – 3x +3 on the 2 (a). interval [-, ).

A: Solve the following

Q: Let f (x) = 2x and g (x) = 3x² + 1, find(go g) (x). Show your work using the Equation Editor Tool.

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Q: What is the end behavior of f(x)?

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Q: . Find the length of the graph of the function f (x) =x* + x2 -<x < 3. on the ir

A: The length of the graph of y=f(x) from x=a to x=b is given by:∫ab1+f'(x)2dx f'(x):…

Q: Use the leading Coefficient Test to determine the end behavior of the graph of f(x) = x4 - 4x2.

A: Given: The equation of the graph is: f(x)=x4-4x2 We have to use the leading Coefficient Test to…

Q: 3. If f(x) = 2x + 5, find f(-1) %3D a) Using evaluation: fo-2x +5 b) Using graph:

A: Given,          fx=2x+5

Q: Suppose that f(x)=6x^2−2x. Find: a. f'(x)= b.  The slope of the graph of f(x) at x=2 and x=3.…

A: Here we find derivatives and slope of function.

Q: The path of a diver is modeled by f(x) = - :-x² +24x+9 where f(x) is the height (in feet) and x is…

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Q: From the graph of f(x), state the reason why f(x) is discontinuous at x = 4 , x = 0 , x = 2 and x =…

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Q: Find the interval where the function, f(x) = + - 8x is 4 decreasing?

A: Consider the given function.