On what interval is the following function positive. f (x) = -x² – 2x + 8

Q: Given the function: f(x)=(x^2-2 where, x/= 4). State whether the function is continuous at x=4

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Q: Given the function f(x) =4x3 – 39x²+ 90x+ 2; which of the following describes its absolute extrema a…

A: We will find critical points to check for absolute maxima

Q: Find the absolute extreme values of the function on the given interval. f(x) = x4 + 8x3 + 14  on…

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Q: For what value of the constant c is the function f continuous on (-∞, ∞)? ( cx2 + 2x x3 - cx if x <…

A: We know that for any value of c, for x &lt; 5, the function is continuous and for x &gt;= 5, the…

Q: Given the function f(x) = x2 and the closed interval [0, 1, which of the following is a value of c…

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Q: Find the value of k which makes F(x) =(x+k)/(4k-1) if x&lt;=0 and F(x)= x^2+2x+k if x&gt;0 if…

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Q: For what value of x does the function f(x) =- - 4x attain the point of inflection in the interval…

A: SOLUTION-

Q: At what number is g differentiable? 2x if xs0 g(x) ={ 2x–x² if 0<x<2 2 - x if x22

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Q: The absolute max for the function f(x)=x² – 2x +1 on the interval [-2, 3] occurs at : Select one: O…

A: As per company guidelines we are supposed to answer only one question at a time. for other question…

Q: •On what intervals) is the function y=-4x*+ (6x"n both increasing and cocave down?

A: Given,  The function  y = -4x2+6x17     We have to find the intervals in which function is both…

Q: Given the function f(x) =4x³– 39x²+90x +2, which of the following describes its absolute extrema at…

A: Given that, The function is following, f(x) = 4x3 - 39x2 + 90x + 2 We have to find the absolute…

Q: For what value of the constant c is the function f continuous on the interval (−∞,∞). f(x)={x^2−5,…

A: Consider the given function and the condition for a function to be continuous. Use the condition and…

Q: Q2-For what value of b is the function x2 - 4x + 4 x # 2 f(x) = %3D x- 2 bx + 6 x = 2 continuous at…

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Q: 2. Find the x-coordinate of the point(s) of discontinuity of the following functions -16 x3 16х — 4,…

A: For x&lt; 3 , f(x)= -16 is continuousFor 3&lt;x&lt;6 , f(x)=16x-4 is continuous tooFor x&gt;6 ,…

Q: For what value of the constant c is the .! function f continuous at x-3 |cx – 2 , if x 3 2 -1 -2 1

A: If function is continous then,limx→n+ fx =limx→n  fx = fnat point nso at given point x=3limx→3+ fx…

Q: x+k , if x<2 x² +4 , if x22 For what value of k is the function y = < continuous? k =

A: Continuous function. Given function f is continuous if its left hand limit is equal to its right…

Q: f (x) = x³ - 3x²?+ 3x – 2 оn (— ох, о)

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Q: For the function given by f(x) = 2x2 - 8 divided by x2 -1 , find the intervals where the function is…

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Q: Determine the error term of for the formula: f'(x)  ≈ (1/4h) [f(x+3h) - f(x-h)]

A: In order to find the error term of the given expression, first find the value of f(x+3h) and f(x-h).

Q: find a formula for f^(n) if f(x)=x^2e^x

A: We find derivatives of f(x) using product rule.

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

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Q: the interval in which the root exists for the function f(x) = x² – 16=0 - is Оа. [3,5] O b. [0,2] O…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Given the function f(x) = x² and the closed interval [0, 1], which of the following is a value of c…

A: Given query is to find the value of c.

Q: 3. For the function f(x) = (x – 3)(x + 2) find the interval(s) on which it is positive and intervals…

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Q: ) Given the function f(x) = {6 − x        if − 1 ≤ x ≤ 2…

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Q: Find a value of the constant k, if possible, that will make the function continuous everywhere if…

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Q: On what interval is the function x^3-4x^2+5x concave down

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Q: The slope of the line tangent to the graph of f(x) = 18 – 5x² at the point x = -8 O 20 O 10 O 160 O…

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Q: f(x) = x3 - 3x + 1 = 0 [0,1] %3D

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Q: (b) For what values of the constants c and d is the function continuous and differentiable for all…

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Q: Find the values of c and d that make the function 6x if x 2 continuous. с — d =

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Q: k. f(x) = /In(2x)

A: The solution for the answer is shown below.

Q: The function h is defined by h(x) = x^2 +2. find h(5z)

A: Given h(x)=x2+2

Q: For what value of the constant 4 is the following function continuous for all real x? if x<1 [ 4x +…

A: From the given x values , we can see that the function f(x) is continuous at x=1 At x=1 the value of…

Q: Consider the function f (x) = 3\/x + 8. What is the value of C in the interval 4, 9| such that f (c)…

A: Question is solved.

Q: For what value of c is the function below continuous at x=-3? f(x) = { c  when x=-3 1 when x = 1…

A: The function                     f(x)=c                       when x=-31                       when…

Q: For what value of the constant c is the function ff continuous on the interval (−∞,∞).

A: c=5 Answer and explanation is given below

Q: For what values of x are the following functions NOT continuous. 4x² – 17x + 15 (x) = Vx² – 25 b.…

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Q: Given a function f(x) =- - 10. Determine the root of f(x) which falls Vx² - 4x between -20 < x<-10.…

A: Note that f-12=0.4645&gt;0 and f-11=0.5236&lt;0 So solution of fx=0 will lie in the range of…

Q: On what interval is the function f(x) = 4(x + 7)² +1 increasing? Sive your answer in interval…

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Q: For what values of the constant c is the function f continuous everywhere? f(x)={ cx^2-4x if x<-2…

A: The given data is: fx=cx2-4x, if x&lt;-25x3-c2x, if x≥-2 To find the value of c if the given…

Q: For what value of the constant c is the function f continuous on (-00,00) f(x) =Cx+4cx+5 ifx<1…

A: Here we have to find the value of constant c for which the function is continuous.

Q: Find the x-values of the stationary points of the function  f(x) = x^4 + 4x^3 - 4x^2 - 24x

A: Given: f(x)=x4+4x3−4x2−24x

Q: For what value of x does the function f(x) : - 4x attain the absolute minimu - in the interval…

A: Given f(x) = 13x3 - 4x

Q: For what value of x does  function g(x)= (-1/3)x^2+2x^2 convex?

A: please see the next step for solution

Q: For what value of the constant b is the function f continuous on (- 0, ∞) where x2 – 36 if x 6 1 6…

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Q: The period of the function f(x) = {7 4 for 0 < x < 8 and x for 8< x < 16 f(x) = f(x+16) is

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Q: Find a value of the constant k, if possible, that will make the function continous everywhere if…

A: The objective is to find the value of k that will make the function continuous everywhere.

Q: Show that the following functions has a solution on the indicated intervals f(x)=x³ + 2x = x² + 1…

A: solution:- f(x)=x³+ 2x =x² + 1,      x∈ (0,1)f(x)=x³+ 2x -x² - 1=0Intermediate value theoremf(x) is…

Q: If we apply Rolle's Theorem to the function f(x) = 2x – 12x -7 on the interval [1, 5], how many…

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