Calculate the relative minimum and maximum of the following equation f(x) = 8x^3 - 13x^2 - 6x -8 and make the graph.

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A: The given function is in the form of a quadratic function, y = a(x - h)^2 + k, where (h, k) is the…

Q: Sketch the graph of the curve f(x)=3x³ - 3x + 2

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Q: Sketch the graph of y = 4x/(x + 1)2, x > -1.

A: To sketch the graph of y=4xx+12, x>-1 Since x>-1, we consider values of x greater than 1, and…

Q: y x3 - 2x*-5x + 2

A: Second Derivative Test : Consider the given function f(x) .Find Critical point , f'(x)=0 (say) 'c'…

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A: We have to draw the graph of the given function

Q: Consider the equation y=x^3-16x^2+2x-4 a. Determine all intervals over which the graph is concave…

A: For a function y = f( x ) For concave up f''( x ) > 0 For concave down f''( x ) < 0  Given…

Q: Sketch the graph of f(x)=x4-x3-7x2+x+6. Identify the extreme values.

A: The given function is fx=x4-x3-7x2+x+6. Sketch the graph of fx=x4-x3-7x2+x+6 as follows:

Q: Find the minimum value or maximum value of (a) f(x) = 4x^2 + 16x - 3 and (b) h(x) = -x^2 + 5x + 9.…

A: f(x)=4x2+16x-3 The value of a=4 that is positive So we will get minimum value find out vertex we get…

Q: all the relative extreme points and inflection points for the graph of y = 1 + 3x^2 − x^3

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Q: Graph the following equation.explicitly state the equation of the asympttote, the x intercept, the y…

A: Given equations: y=-313-x+6 y=-12log2x+4-2

Q: Graph the parabola  f(x)=(x+1)^2-4 and the intercept (x,y)

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Q: Graph the equation: f(x) = (x+1)^3 - 5 Please include coordinates as well as vertical…

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Q: Where the graph y = x^3 − 3x^2 + 2x − 10 is concave up and concave down?

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Q: Find the value of x that results in a maximum value of y if -2=x^2+y^2-4x+4y?

A: The given equation is -2=x2+y2-4x+4y. To find the value of x that results in a maximum value of y,…