f(x) = -x(x - 2)^2   ( a) Find the x- and y-intercepts. (b) Determine the multiplicity of each zero off. ( c) Sketch a graph of y = f(x) by hand.

Q: Find the interval in which the function given by y = 4x3 - 6x2 -72x + 30 is decreasing.

A: Given: y=4x3-6x2-72x+30

Q: 5x+5 2. f(x) %3D x²+4x+4

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Q: Sketch the graph of the quadratic function f(x)=-2x2+6x-3. On the graph, show the values of x and y…

A: The given function is

Q: use graphs to find approximate solutions 3 - 2-x = 0

A: The equation is 3 - 2 - x = 0 By combine like terms 1 - x = 0 That is x = 1

Q: Find a formula for the quadratic function whose graph has its vertex at (5,2) and its y-intercept at…

A: Find a formula for the quadratic function whose graph has its vertex at (5,2) and its y-intercept at…

Q: Use a graphing utility to solve x3 - 3x2 - 4x + 8 = 0.Round answers to two decimal places.

A: x3 - 3x2 - 4x + 8 = 0.

Q: Locate the critical points and determine whether maxima, minima or inflection point. a. y = x3 - 3x?

A: Given:   y=x3-3x2

Q: find the horizontal asymptotes.

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Q: Find the intercepts and the vertical asymptote of   f(x)=x2−4x−5/x−6 Enter the intercepts as…

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Q: 2. For the quadratic relation, y= -(x+0) (x + 6) explain how to find Equation of the axis of…

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Q: Find the point at which the line f(x)=5x+14 intersects the line g(x)=−2x (_,_)

A: Given that,  Line f(x) =5x+14 and line g(x) = -2x intersects. So, both the function gives the same…

Q: Determine the equation of the oblique asymptote of the equation f(x)=2x^2-9x+10/2x-1

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Q: What is the y intercept of 9-3x over x-5? What is the domain of this fraction

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Q: Find the horizontal asymptote of За + За3 + 1 y = f(x) - 5x3 + 4x2 -

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Q: Solve for the zeroes of f(x) = x* - 4x2 and sketch the graph %3D

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Q: Use the vertex (2,8) and a point on the graph (0,4) to find the equation of the quadratic function…

A: Given: the  vertex is 2,8 and a point 0,4. To find : the equation of quadratic function fx.…

Q: Find the horizontal asymptote. 14x2 + 1 x2 - 1 y =

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Q: find the horizontal asymptote of flx)= 4x+x3_a

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Q: Sketch the polynomial curve y = x* + 2x³ – 2x + 3.

A: Given y=x4+2x3-2x+3 When x=0⇒y=3     When x=1                  ⇒y=1+2-2+3⇒y=4 When x=2…

Q: Find a formula for the quadratic function whose graph has its vertex at (−3,2) and its y-intercept…

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Q: Sketch the graph of f(x) = x2 − 4x + 3. Identify the vertex and x-intercepts.

A: Use a graphing utility to sketch the graph of f(x)=x2-4x+3. Since the function is of second order;…

Q: Find the horizontal asymptotes.

A: fx=2x2-3x8x2+8

Q: Find vertical asymptote, x intercept and y intercept of (x+1)(x-5)/(x-6)

A: Topic = Functions

Q: how

A: The given function is a third degree polynomial.

Q: -x2+1 c) = x2-5x+6 3x+4 d) f(x) = x3+3x

A: Given that  The following functions  To find the horizontal, vertical and slant asymptote

Q: Find the horizontal asymptotes. f(x) = (8x3 - x2) / (7+11x-4x4)

A: The given function is fx=8x3-x27+11x-4x4. This implies that,

Q: If the profit function for a product is P(x) = 4000x + 95x² – x³ – 208,000 dollars, selling how many…

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Q: Sketch the graph of f(x) = −x2 + 6x − 8. Identify the vertex and x-intercepts.

A: Given, fx=-x2+6x-8

Q: Sketch the graph of the quadratic function by finding the vertex, intercepts, and determining if the…

A:

Q: 2x - 8(x)^1/3

A: Given: 2x-8 x3 To find: The oblique or slant asymptote.

Q: Graph f(x) = -3cos(-nx) – 1 by Key Points method.

A:

Q: Find the equation of the slant asymptote of y= x2/(x-1)

A: y=x2x-1 In the given equation, the degree of numerator is 2  and the degree of denominator is 1 The…

Q: Select the graph of the quadratic function f(x)=x²+2x+2. Identify the axis of symmetry.

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Q: Find the horizontal and vertical asymptotes of: 4x2 + 2x y = x2 + 3.x

A: Given, The relation y=4x2+2xx2+3x We have to find its horizontal and vertical asymptotes.

Q: 5. Determine the horizontal asymptote. x³ +2x² -6 а. У- x? x* +3x° +x² –7 b. y: x* - 3x³ +8

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Q: find the horizontal asymptote of flx)= 4x+x³-a ーメナ3xー4

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Q: Express the quadratic function f(x)=x^2-x-4 in standard form.    Then sketch the graph.

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Q: Express the quadratic function f(x) = x² – x - 6 in vertex form, and sketch its graph (showing…

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Q: Sketch the graph of the quadratic function f (x) = x 2 + 3x + 1 4 without using a graphing utility.…

A: Given,

Q: b. y=X'+3x²+x²-7 x° -3x° +8

A: The given function is: To Determine the horizontal asymptote.

Q: Find the asymptotes (horizontal, vertical and slant) of x³ – 4x2 + 4 f(r) = x² – 4 -

A: f(x)=x3-4x2+4xx2-4f(x)=x(x2-4x+4)(x-2)(x+2)f(x)=x(x-2)(x-2)(x-2)(x+2)f(x)=x(x-2)(x+2)

Q: Find all horizontal and vertical asymptotes. 5x - 31x + 6 f(x) = 2 x-5x-6

A: Vertical asymptotes: The line x=L is a vertical asymptote of the function f(x), if the limit of the…

Q: Find the oblique asymptote. 7 - x3 f(x) = 2x2 7-x3 2x2 y =

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Q: 3. Determine the equation of the cubic function with zeros -1, 213 and 3, passing through (4, 5).

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Q: 5x' - 2x² + 8 3 85. f(x)= 4x - 3x'+ 5

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Q: A duck dives under water and its path is described by the quadratic function y=2x-4x, where y…

A: y=2x2-4x The position of duck to dive down 2 meters y=-2 -2=2x2-4x 2x2-4x+2=0 2(x2-2x+1)=0…

Q: Find the point at which the line f(x)3 4x6 intersects the line g(x) =-4 +2

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Q: Express the quadratic function f(r) = x² - x - 6 in vertex form, and %3D sketch its graph (showing…

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