CONSIDER THE FOLLOWING FUNCTIONS. f22x+1 AiD gca)= xー1 a) DE TERMINE jG&) =f(x)• g(x) Lim jcx+h)-j(x)_ 9(x+h)-g(x) h. C.) f(x) Lim +g(xJ•Lim (xth)-f(x) %3D

Q: For the function f(x) = x^4 -6x^3+1, find the points of inflection.

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Q: f(x)%3DX²-2x+5

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Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: What is the end behavior and removable discontinuity of the function y= x-4/3-2x ?

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Q: Consider the function h (x) = 2x^2 – 8x – 10. Find its vertex

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Q: the height ( in feet) attained by a rocket t sec into flight is given by the function…

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Q: What is the axis of symmetry for the equatiin: f(x)=2(x+1)^2+1

A: f(x)=2(x+1)2+1As a first step, we need to compare this equation with the equation of a parabola in…

Q: Given the function h, find functions f and g such that h(x) = (go f)(x). h(x) = (6+ 4x)" a. f(x) =…

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Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: Move the three points so that they form the function f(x) = (x – 5)*(x + 4)²(x– 1). Press the button…

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Q: Consider the following function: f(x)=x^3+2x^2-8x-3 b. Find the extreme values ​​of f.

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Q: List the zero's of f(x) = x³ + 3x² - 4x. X =

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Q: -2 -1 0 1 3 5 6

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Q: Suppose thatf(x) = (x+ 5)^3(x-2)^4. Find the x-coordinates of all points of inflection

A: To find- x-coordinates  of all points of inflection.

Q: Use synthetic substitution to find f(2) and f (- 1) for each function. f(x) = x ^ 3 + 6x ^ 2 + x - 4

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Q: e equation below: f(x)=x^4-32x^2+3. Find the interval on which f is increasing and decreasing, find…

A: Here we have;  f(x)=x4-32x2+3 ............(1) differentiate with respect to x f'(x)=ddxx4-32x2+3

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.