Use the graph of f(x), selected values of a linear function g(x) in the table, and the equation h(x) to evaluate (h g)(-1 g(x) -5 -1 -1 1 9. h(x) = x² – 4 3 4. O O O O

Q: For what value of x does the function g(x) - 2x? concave downward? А. x2 -1 x 2 0 С. x 2 -2 D. x< 2…

A: The derivative of a function gives the slope. When the slope continually increases, the function is…

Q: Find the absolute maximum and minimum values of the function f(x)=7x^2/3 ;[-1,1]

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Q: Find the value of b that gives the function the maximum value of 19. f(x)=-x^2+bx+3

A: At the point of maximum the first derivative of the function becomes zero and the second derivative…

Q: Given the function g(x) = (x – 1)(z + 2)(z - 3) its g-intercept is its -intercepts are

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Q: Find the absolute maximum and minimum values of the function f(x) = r'-6r +3 on the interval [-1,…

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Q: Find the intercepts of the function. f(x) = (x + 4)(9x2 − 1)

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Q: Q3: Find the extreme values of the function f(x, y) = xy + x2 - y2 – 5x – y + 5.

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Q: The slope of the function f(x) : –2x+3y= 6

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Q: Q1: Find the extreme values of the function F(x,y)=x² + n + y² + 7

A: We have to complete the square first.

Q: Find the point of inflection and concave of the graph of the function. (If an answer does not exist,…

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Q: find and classify the stationary points of the function f(x)=x^3-2x^2+2

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Q: For what value of x does the function g(x) x³ - 2x? attain the point of inflexion? A. x = -1 B. x =…

A: The given function is                                         g(x)=13x3-2x2 We know that the point…

Q: 1. For a given function f(x) = –7x + 3 a)slope is: b)x-intercept is: ( 0) c)y-intercept is: (0,

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Q: for what value of x does the function g(x)=1/3x3-2x2 attain the point of inflexion?

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Q: Find the point at which the line f(x)=-3x+1 intersects the line g(x)=3x+7

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Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x). %3D y = f(x) Ay 4- 2- -6 -4 -2 2 -4…

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Q: FOR WHAT VALUE OF X does the function g(x) = (x2-4)2 attain the absolute maximum?

A: In the interval [-2,2] the function g attain the absolute maximum at the point  x=0

Q: Determine the values of x for which the function is differentiable. y = -6x + 6

A: To find the values of x for which the function is differentiable.

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=x3−4x2+5x.…

A: The slope of the secant line between x = −1 and x = 2 on the graph of the function f(x) = x3 − 4x2 +…

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x3 + 8x² – 2x – 3 at x = -7.

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Q: Find the maximum or minimum value of the function. h(x) =1/2x2 + 6x − 2 h(x)= Is this a maximum…

A: To find maximum or minimum of a function, we will take first derivative of f(x) to find critical…

Q: Find the point at which the line f(x) = – x – 2 intersects the line g(x) = 3x + 6

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Q: The x-intercept of the linear function f(x) 10x + 18 is

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Q: Where does the relative maximum value of f occur when f'(x) = x³ - x? (a). –1 (b). 0 (c). 1 (d). 2

A: On solving this we will get

Q: Consider the function G defined by G(x)= 4x^2-5 Solve G(x)=0

A: Given a function G(x)=4x2-5 To solve G(x)=0

Q: If f(x)=3x^2-2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x) at the point (10, 2)

A: Given f(x) =3x²-2  And g(x)=1-f(x) =1-(3x²-2) =1-3x²+2 g(x)=-3x²+3 For slope of curve g(x)…

Q: The total-cost, C(x), and total-revenue, R(x), functions for producing x items are shown below,…

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Q: Determine the value of x when the slope is its maximum for the function f(x)=2cos(3x)

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Q: The function f(x) = x3+Ax+B has a stationary point at (-2,3). Find the values of A and B .

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Q: Find x-intercept(s) of the graph of function g(x)=/3x+7-1.

A: gx=3x+7-1

Q: Find the local maximum and minimum values of the function f(x)=-3x2+4x+5.

A: If second derivative negative then local maximum value

Q: Draw the graph of f ( x ) =3 x2+5 x−4 for a. From the graph, identify the values of x when f (x)=0.…

A: Follow the steps below to plot the graph of y=f(x) . Take arbitrary integers for the values of x…

Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x- 1) + 1. y- f(x) AY

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Q: Please

A: The given function is

Q: Find the point at which the line f(x)=−5x−3f(x)=-5x-3 intersects the line g(x)=−x+1g(x)=-x+1

A: The given functions are fx=-5x-3gx=-x+1

Q: Find the distance between the local maximum and the local minimum values of the function f(x) =x -…

A: n order to find maxima and minima of a function , we have to follow the two stepsStep 1:  Find the…

Q: The interval in which the given function is decreasing is at 3 points y = x3 – x2 – 5x - 4 (-00, -1)…

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Q: Find the following characteristics about the linear function 2 f(x) = ²/x + 18 x-intercept:…

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Q: Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Given,  f(x)=2 cos(3x)

Q: Find a formula for the slope m of the graph of f at the point (x, f(x)). Then use it to find the…

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Q: . Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Here we have to use the concept of derivatives.

Q: For what value of x does the function g(x) -x³ - 2x2 concave downward? A. x -1 В. C. x -2 D. x< 2

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Q: Find the absolute maximum value of the function. f(x) = 2(x – e*)

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Q: By expressing the function f(x) = 3x2 - 6x + 5 in the form of f(x) = a(x - p)2 + q, find the…

A: For the detailed solution of the problem follow the next step.

Q: Find the value of b that gives the function the given maximum value.f (x) = -x2 + bx + 2; maximum…

A: Consider the function  Maximum value=6

Q: The function p (x) = x° + x* - x + x2 – x + 5 is graphed on the coordinate plane. As X approaches…

A: graph of the function is shown below

Q: For what value of x does the function f(x) = x³ – 2x² + x -11 have a relative maximum? -1/3 1/3 -1

A: Using application of derivatives.

Q: Find the slope of the secant line between x = -2 and x = 3 on the graph of the function f(x) = -2x2…

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Q: For what value of x does the function f(x) = x³ - 2x2 + x – 11 have a relative maximum? A 1/3 B 1 ©…

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Q: If f(x)=5x2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x)g(x)=f−1(x) at the point (5,…

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