Graph of a function with roots at x=3 that has a multiplicity of 3 and x=-2 that has a multiplicity of 2.

Q: 1. Determine a possible quadratic function in standard form with a root at x=2+2.

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Q: he domain of the function f(x) = Vx+5 is In(3-x) %3D

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Q: Compute all the vertical asymptotes of the function x2 + 1 y = Зх— 2х2 Produce the graph of the…

A: Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of the…

Q: Use the graph of the function to estimate the interval on which the function is increasing. -5- 4 3-…

A: GIven problem:-

Q: Sketch a graph of the function f(x) 2 sin(2x). %3D -77/8-31/4-5n/8-/2 -3/8-7/4-T/8 t/4 3n/8- /25/8…

A: Given function is f(x)=-2sin(2x)We know that period of sin(x)=2πThe period of sin(2x) will be π and…

Q: Give a possible formula of minimum degree for the polynomial h(x) displayed in the graph to the…

A:

Q: You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller…

A: Given the perimeter (or) Total length of fencing is 1000 ftFrom the given figure total length of…

Q: Give an expression for f(x) of degree 3 with roots z = -4 and r = -2, where the root at r = -2 has…

A: Zeroes are x=-4 and x=-2and x=-2 has multiplicity 2

Q: a)= 3ス2-3 %3D

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Q: Find the open intervals on which the function is increasing or decreasing.

A: A function f(x) is increasing if for each x1<x2 we have fx1<fx2. Similarly a function f(x) is…

Q: The graph of f(x) = is (increasing/decreasing) over its domain.

A:

Q: Where is the greatest integer function f(x) = [[ x ]] not differentiable? Find a formulafor[' and…

A: We need to find where the greatest integer function f(x) = [[ x ]] is not differentiable. We know…

Q: Sketch a graph of the function f(x) = – 3 sin(3x). 4+ -5/6 -2/3 -/2 2t/3 5/6 -1 -2 3.

A: Topic = Graph

Q: Sketch an odd function with a positive leading coefficient having all of the following features:…

A: We have to draw graph of given odd function.

Q: Example 2: Using the False Position method, find an approximated root of the function: f(x) = x² –…

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

Q: Exer. 43-50: Simplify f(x), and sketch the graph of f. 2x²+x-6 43 f(x) x² + 3x + 2

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Q: The graph of f(x)=-x-5x+6 has the point (2, -6) on it. O True O Fals

A: Ans: False

Q: Find the roots off (x) = x 4 - 4x 2 and sketch its graph. On which intervals is f decreasing?

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Q: Example 3: Find the root of: f(x) = x' - 3x+1 in the interval [0,1]?

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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: Each polynomial function has exactly one positive zero.Approximate the zero correct to two decimal…

A: Given, f(x)=x3-x-2

Q: Does the function g(x)=2-x  approach a certain real number as the value of x increasing positively?…

A: Given - g(x) = 2-x To find - Does the function g(x) approach a certain real number as the value of x…

Q: Sketch a graph of the function f(x)=0.5sin(3x)

A: The given function is f(x)=0.5sin(3x)   Here 0.5 is the amplitude and 2*pi/3 is the period and we…

Q: Sketch a graph of the function f(x) = 3 sin(3x). 4 -5/6 -2/3 -/2 -T/3 T/2 2t/3 5t/6 -1 -2 -3 3. 2.

A: Sketch a graph of the function  f(x) = -3sin(3x)

Q: explain why the function has at least one zero in the given interval. f(x) = x^3+ 5x-3 intervals…

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Q: f(x)%3D2X-1

A: Given, f(x) = 2x-1

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: Sketch a graph of the function f(x) : – 2 sin(x + n). - 3- -Зл/2 -5л14 -3T|4 -T/2 -T/4 Зл14 5л14…

A: Graph of sine function

Q: Each polynomial function has exactly one positive zero. Approximate the zero correct to two decimal…

A: Given :                f(x) = x3 - x - 2f(1) = 13 - 1 -2 = -2f(2) = 23 - 2- 2 = 4 Since there is a…

Q: (+) Sketch the midline and the graph of the function f(x) = - 3 - 4 sin 8+ 7- 5. 4 2 -4 -3 -2 -1 -1…

A: See the graph below

Q: -1 is an even function

A: The given statement is true.

Q: 1. Express the quadratic function f1x2  x2  x  6 in standard form, and sketch its graph.

A: Given: f(x)=x2−x−6

Q: Sketch a graph of the function f(æ) = 3 sin(,2) – 1 6+ 4 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 -2 -3…

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Q: Find the roots of f (x) = x4 − 4x2 and sketch its graph. On which intervals is f decreasing?

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Q: 11. Sketch the graph of the following function. f(x)= x³ - 6x² - 9x [1]x- and y-intercepts

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Q: 16. Sketch the graph of f(x)=(4-x)(x+1)(x+3)*. Be sure to label all x- and y-intercepts.

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Q: The graph of f (x)%3D-x-5x+6 has the point (2, -8) on it. True O False

A: given function :

Q: 11. Sketch the graph of the following function. f(x)= x³6x² - 9x [1]x- and y-intercepts

A:

Q: Find the are under the graph of f(x) = 4-x2  on the interval (-2,1)

A: Given, f(x) =4-x2  we have to find the area under the curve on the interval (-2,1)

Q: List the points in the graph in the interval 1 <x<7 at which the function is not differentiable 18-

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Q: Find a function whose graph is a parabola with vertex (3, -2) and that passes through the point (1,…

A: Topic =Parabola

Q: Find the smallest positive root for the given function by using the false position method with…

A:

Q: Sketch a graph of the function f(x) : 2 sin +1 6+ 4 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 -9 -8 4 5 -2 -3 -4…

A: Given: The function

Q: The graph of function f(x) = x – 9x² + 7x is concave upwards on (-0, c0) O (-∞, 3) O (3, 0) O None

A: Given function is  f(x)= x^3 - 9x^2 + 7x

Q: absolute extremum of the function on the given interval.

A: Absolute Extremum:- Suppose f is function on interval a,b then,i the y-value fc is an absolute…

Q: Sketch the graph of the function. 4x +2, 4x2-1, -1 1 xs-1 k(x)

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Q: Sketch a graph of the function f(x) = - 4 cos 6+ 4 2 -8л -7л -бл -5л -4л -3л -2л -л) 2л Зл 4л 5л бл…

A: We need to draw the graph of

Q: On which intervals is the function f(x)=-2x^(3) +3x^(2) +36x+4 increasing? Do not draw a graph.

A: The objective of the question is determine the interval in which the given function is increasing.

Q: Find the open intervals on which the function is increasing or decreasing.        h(x) = 12x − x3

A: Given function - h(x) = 12x-x3let's find the critical point of the function h(x) , by h'(x) =…