Find thex-coordinate of the point(s) of discontinuity of the following functions -16 x3 f(x)= 16x-4, 36

Q: (a): Find the critical points of the function f(x) = 8x² – 16x.

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Q: Find the extreme values on the interval:   f (x) = 6x4 − 4x6, [−2, 2]

A: Derivative determines the change of variable with respect to another variable. When we equate first…

Q: What is the length L of the interval on which the function f(x)=x3−6x2−15x+8 is decreasing?

A: Given

Q: Find the intervals where the function f(x)= x3- 3x 2+3 is increasing and intervals where the…

A: The given function is f(x)=x3-3x2+3. It is required to find the interval in which the function is…

Q: For what value of x does the function f(x) =x³ – - 4x attain the absolute maximum in the interval…

A: Second derivative test: If the function f is twice-differentiable at a critical point x (i.e. a…

Q: what value of x will be found in the domain of function f(x) = 10/x-2

A: To find Domain , f(x) should be defined.

Q: Use an x-interval of 0.0001 to determine the instantaneous range of change of the function fx)= x*+…

A: According to the problem, we have

Q: Find the inflection point of the curve f(x)= x³ – 12x²+7x+1.

A: An inflection point is a point on the graph at which the second derivative is equal to zero or…

Q: f(x)=x²-4 2 X-X-6

A: Factorize the numerator and denominator.

Q: List the x-values in the graph at which the function is not differentiable. -3

A: In this question with the help of graph theory we have to find the points where function is not…

Q: Find the value of the constant k that makes the function continuous.

A: Given: h(x)=3x2+2x-8x+2 if x≠-23x+k            if x=-2

Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x+3 g(x) = , x-3 kx…

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Q: Find the points of inflection of the function f(x)=x3 / 1−x2.

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Q: What are the local extreme values of the function f(x) = x - 3x² + 2?

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Q: Find the range of the quadratic function f(x)= -x^2+4x-6 interval notation

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Q: Find (f-g)(x) for f(x) = 4x- 9 and g(x) = 3?

A: Given, fx = 4x-9   gx = 3x2   We have to find f-gx

Q: Find x- and y-intercepts for f(x)=(x+2)2(x-1)

A: Topic- function

Q: Find the points of inflection of the function f(x)=x2 / 1+x2.

A:

Q: Q1: Find inflection point of the function F(x)=X³- 2X+1

A: Our Aim is to find the inflection point of F(X)=X3-2X+1 -(i)

Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: Find the value of the constant k that makes the function continuous. 2x - 5x - 25 if x +5 g(x) = х -…

A:

Q: Find the value of the constant k that makes the function continuous. 2x2 - 4x - 16 if x #4 g(x) = х-…

A: Solving by continuous definition we have

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

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Q: Determine the point on the curve for the function f(x) = (−5x + 7)(2x + 3) where the slope is -1/2

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Q: Find the intervals on which the function is increasing or decreasing where f'(x) = 4x³ – 4x.

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Q: Find the absolute maximum and minimum values of f(x) = 2x³- 3x2 – 12x for 0 <x < 3.

A: First we find the critical points of f(x) and then local extremum points of f(x). Then comparing the…

Q: Find the absolute extrema of the function f(x) = x* - 72x + 1296 on the interval [-7,7].

A: To find: The absolute extremum of the given function

Q: f(x) = x³ – 3 %3D

A:

Q: Find the interval on whih f(x) =x2-3x+8 increasing or decreasing

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Q: Find the point(s) of discontinuity of the piece-wise function f given by f(x) = |x| +3 if xs-3; -2x…

A:

Q: Find the value of the constant k that makes the function continuous. 2x - 2x - 12 if x 3 g(x) = X- 3…

A: For function to be continuous

Q: The maximum value of the function f(x)= x3-5x-4 occurs at

A: Given function fx=x3-5x-4

Q: Find all intervals where the graph of f(x)= x3-18x2+10 is concaved downward, intervals where it is…

A: When f''&gt;0 then function cancave upward when f''&lt;0 then function cancave downward  when…

Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x#3 g(x) = x- 3 kx…

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Q: find inflection point for the function f(x)=x^3-6x^2+15

A: we have to find the point of infection for the given function

Q: Find and label as minimum or maximum the stationary points for: f(x)-x -20х+105

A: We will solve the problem

Q: Find the points of inflection of the function f(x)=x3−3x2−1.

A: Given

Q: Determine the value of x of the discontinuous function: * х — 1 = {3x – 3 -4x + 3 x 3

A:

Q: State the intervals of increasing and decreasing behavior in the function f (x) = x 3 + 2x² – 4x +…

A: The function is fx=x3+2x2-4x+5.   Differentiate the function with respect to x.…

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

A:

Q: Consider the function y = 3x2+2x-4. What is the exact value of C in the interval [-2, 4] such that…

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Q: Find the absolute maximum and minimum values of f(x) = 10x(2-lnx)

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Q: Find the point(s) of inflection and intervals of concavity for: f(x) = x* – 7x³ + 18x² +7

A: We have to find the inflection points and interval of concavity for the function fx=x4-7x3+18x2+7.

Q: Find the value of the constant k that makes the function continuous. 2x - 3x- 20 if x#4 g(x) = x-4…

A: A function f(x) is continuous at a point x = a iff:

Q: Graph the function on the interval [-5, 1). f(x) = [[x+5]] 5- 4- 3 V

A: Break the function as a branch function as in next step.

Q: : Find extreme values of functions and where they occur Y = x3 - 2x + 4

A: Given function is : y=x3-2x+4 Find the extreme values of function and where they occur.

Q: Find the extreme values of the function f(x) = (x² + 2x)³ on the interval [-2, 1].

A:

Q: Find x and y intercepts,intervals of monotoncity,local exterme value,intervals of…

A: Substitute x=0 and y=0 separately and solve for y and x respectively. Determine the critical points.…

Q: Find the points of inflection of the function f(x)=x2lnx.

A: Inflection points are the points at which second derivative is zero. So differentiating f(x) with…

Q: Explain why the function has at least one zero in the given interval.          Function f(x) = x3 +…

A: Given: fx=x3+5x-3