p(x) = -2(x +3)(x+ 1)(x-4) %3D The functionp is defined by the equation above for all real numbers x. For each interval in the table below, click on the appropriate box to indicate whether p(x) > 0 for all x in the interval or p(x) <0 for all x in the interval. p(x) > 0 for p(x) < 0 for all x in the interval Interval all x in the interval -5

Q: 1. Let glø) = x² - 5x +2.

A: Given that: g(x)=x2-5x+2

Q: The revenue, in thousands of dollars, from selling x units of an item is given by R(x)= -x° +27x…

A:

Q: Find the y-intercept of the polynomial function. f(x) = x2(x - 1)(x - 6)

A: Find the y-intercept of the polynomial function.f(x) = x2(x - 1)(x - 6)

Q: Find the absolute extreme values of the function on the interval. g(x) = -x 2+ 11x - 30, 5sxs6 %3D

A: Consider the function  g(x)=−x2+11x−30        ,5≤x≤6

Q: 19) For the function f(x)-2x-shown: a) Use the graph to predict the number of real zeros and the…

A: (1)The given function is f(x) = 2x4 – x2 – 1.

Q: 3. Can you show for g(x) = that х-3 g(c) = -on the closed interval [-3, 2]? If so, find the value of…

A: Given: gx=xx-3, gc=-12;c∈-3,2 for finding value of c, where gc=-12 we put x=c in given function and…

Q: The graph of Ax) represents an even function. The graph of f(x) crosses the x-axis in three places:…

A:

Q: unction​ P(x) for a company producing x thousand units is given by P(x)=−2x2 +26x−84   Find the…

A: The profit function is given as P(x)=-2x2+26x-84 we have to find the values at which the company…

Q: 3x³ + 8x² + 3x – 2 Which of the following is not a vertical asymptote of f (x) =- 3x³ + 4x² – 5x – 2

A:

Q: A rectangular garden consists of a rectangular lawn of area 72m2. The pass is 2m wide at two longer…

A: let length of shorter side = x rectangle side = x+1+1=x+2 other side of lawn =72x rectangle's other…

Q: f(x) = 2x3 - 3x2 - 36x +14 %3D use f' (x), find maximum point. O (-2, 58) O (3, -67) O (0, 0) O none…

A:

Q: The profit function for a certain commodity is P(x) = 110x – x² – 1000. Find the level of production…

A: Consider the given function.  Differentiate the function and equate it with 0. This will give the…

Q: x² -4 f(x) = x² - 5x+6 find asymbtotes

A: There are 3 types of asymptotes

Q: The profit function P(x) of a company selling x items is given by P(x) =-x3+9x2-15x-13 where x…

A: x is in thousands. So 6000 means x=6 x is between 0 to 6   We find the critical points of the…

Q: x*+6x3-1 4. Let p(x) = x5 + 3x² – 1 and r(x) = - x²+x-2 a. How many zeros could p(x) have and why?…

A: We have to solve first 3 parts according to the guidelines.

Q: Using any method, determine if g(x) = 4x* – 5.x³ is even, odd or neither.

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: The profit function for a certain commodity is  P(x) = 180x − x2 − 2000.  Find the level of…

A:

Q: The profit function P(x) = -x + 20x2 – x gives a company's total profit (in millions of U.S.…

A:

Q: The function f(x) = -4x – 6x² + 240x – 7 is increasing on the interval ( It is decreasing on the…

A:

Q: (4) Given f(x) = x³ – 6x² – x +6. a) (2 pts) Use the leading term to determine the end behavior of…

A: The end behavior of a polynomial f(x) is the behavior of the graph of f(x) as x approaches to +∞ or…

Q: Q 2/ find the value of (k) to continue the function x3-3x2-4x+12 f(x)= x-3 * * x = 3

A:

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A:

Q: x+2 Q3/B find the domain f(x) = x²-1

A:

Q: P2.21 Find a zero of f(x)=2x2 - 5x +1 by finding a fixed point of x=g(x)=0.4x² + 0.2.

A:

Q: For the function f(x) = x° - 4x* + 5x- 4, state: a) the maximum number of real zeros that the…

A: Since, we have been given up the function f(x)=x5-4x4+5x-4(a)Maximum number of real zeros=Degree of…

Q: Let h(x) = f(x) + g(x). If f(x) = 2x² and g(x) = 8x5, what is h'(x)? Do not include "h' (x) =" in…

A:

Q: f(x)=−4+x6−x3−3x−3x2−2x4−2x5 Based on the degree of the polynomial f(x) given below, what is the…

A: Turning Point:  A turning point is a point of the graph where the graphchanges from increasing to…

Q: The function m(x) = 3x(2 – x) + k has a maximum value of 6. Find the value of k. %3D

A:

Q: f(x) = 2x2 - 3x + 1 has a: O maximum O minimum O neither a minimum or maximum

A:

Q: Q2/A/ Find the intervals on which the function f(x) = x² - 4x + 3 are increasing and the intervals…

A:

Q: - 4x - 3x + 10 Use algebraic techniques to rewrite g(x) as a sum of three terms. Then find g'(x).

A: Given,  gx = -4x43-3x103+6x3   We have to write gx as a sum of three terms and to find g'x

Q: The fotal profit function P(x) for a company producing x thousand units is given by P(x)=-3x…

A: The total Profit function is given by the polynomial functionP(x)=-3x2+27x-42We have the find the…

Q: -2x+6 Graph the rational function h (x) = x-4x+3

A:

Q: he profit function for a certain commodity is  P(x) = 180x − x2 − 1000.  Find the level of…

A:

Q: he profit function P(x) of a company selling x items is given by P(x)=-x3+9x2-15x-13 where x…

A:

Q: Given h(x) V2x + 4, find four points on the graph of the function.

A: Given that: hx=2x+4                                                                 ...........(1)…

Q: If f(-9) = 2 andf'(x) < 9 for all x, what is the largest possible value of f(1)?

A: Lagrange's Mean Value Theorem : If f(x) be continuous on [a, b] and differentiable on (a, b) then…

Q: Find all possible fractional solutions + = A F (= P (x) = x -3x - 4x + 12

A: Find all the fractional solution of the equation: Px=x−3x−4x+12

Q: - 2x + 4 f(x) find the domain of g(x) – 2x + 2 | - Given f(x) and g(x) -За + 12 - x – 3

A:

Q: 6. For g(x) (x+ 7) + óx determine the input for x when the output of g(x) = 13. [ 5A]

A: Given: g(x) = (x+7)2 + 6x   To find : Value of x , when g(x) = 13 That is (x+7)2 + 6x = 13 ⇒x2 + 14x…

Q: 2. Given below is the graph of a degree 6 polynomial function, y = p(x). If p(-1) = -12, find a…

A: Graph of a degree 6 polynomial function y=p(x), p(-1)=-12.

Q: For the function find the maximum number of real zeros that the function can have, the maximum…

A:

Q: 3. Determine g'(1) for g(x) = (8x² – 3x)³. -

A:

Q: f(x) = -8x2 + 1 has a: %3D O minimum O neither a minimum or maximum O maximum

A:

Q: The function f(x) = 2x³ +4.98x² + 26.2416x +2.34 is increasing on the open interval ( It is…

A:

Q: The graph of (x) represents an even function. The graph of fx) crosses the x-axis in three places:…

A: A function f(x) is a even function if f(-x) = f(x) means if we replace x by -x the function remains…

Q: For the the domain D of the function below, find a possible value for the constant a. f(x)=6x-a , D:…

A: The given function is linear polynomial function and so it is defined for all values of the real…

Q: How do you find the largest open interval of the domain over which function is increasing? With the…

A: This parabola is facing downwards because the leading coefficient is = -1/2 which is negative.  So…

Q: . The polynomial function y = x³ +ax² +bx+5 has a local minimum at æ =1 and an inflection point at æ…

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.