The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tangent. 5+ 10 -9 -8 -7 -6/ -5 -4 -3 -2 -1 -1 2 3 4 5 6/7 8 9 10 -2 =3 -4 -5 3.

Q: Find k such that the line is tangent to the graph of the function.…

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Q: Given the graph of f(x) below, find the graph of the derivative of f(x). 5 2 6-5-4-3-2 2 3 4 5 6 4.…

A: We have to find the graph of derivative f'(x) from the graph of f(x).

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A: Given Data: Graph: y=fx Point 1: Ax1, y1=A4, 3 Point 2: Bx2, y2=B0, 2   The value of f4 will be…

Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = k/x y = 2x +…

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Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 19 – x²;…

A: The given data is: gx=19-x2 To find the slope of the tangent line at the point 3,10.

Q: Given the graph of the derivative f'(x) shown below, which one of the following statements regarding…

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Q: Find the function f given that the slope of the tangent line at any point (x,f(x)) is f '(x) and…

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Q: Let f be the function given by f(x) = 3e2* and let g be the function given by g(x) = 6x. At what…

A: The given function are: fx=3e2x

Q: Use the Intermediate Value Theorem to show that the graph of f (x) = 2* – x² intersects the line y =…

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Q: The graph of f(x): 1 is shown on the Cartesian plane The domain of f(x) is: The range of f(x) is:

A: as we can see here vertical asymptote is x=0 which means the function is undefined when x=0 so the…

Q: Let f(x) = 2x3+3x2 - 12x +5. a). Find x values on the graph of f at which the tangent line is…

A: This question is based finding slope of a function by using differentiation.

Q: Given that f(-5)=-5  and f'(-5)=-10 , find an equation for the tangent line to the graph y=f(x) of…

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Q: Find the equation of the line tangent to the graph of the given function at the point with the…

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Q: Given the function f, find the slope of the line tangent to the graph of f -1 at the specified point…

A: Given, The function is f(x)=(x+2)2 and the point on the graph of f-1(x) is (36,4).

Q: Given the function f, find the slope of the line tangent to the graph of f -1 at the specified point…

A: Find the slope of the line tangent to the graph of f -1 at the specified point on the graph of f -1.

Q: The table below gives selected values for the differentiable and decreasing function f and its…

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Q: For what value(s) of x does the function f(x)= 4x3-x2-2x+5 have a horizontal tangent line?  a.) x=…

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Q: If the graph of f(x) is given by 1 Then the graph of is

A: Gien a graph of some function f(x), the graph of the reciprocal function i.e. 1f(x) can be obtained…

Q: For what value(s) x does the graph of f(x) ==- x² + 3 have a horizontal tangent? For what value of…

A: For horizontal tangent first derivative must be zero

Q: Let f(x) = 2x - 9x - 24x – 9. a. Find all points on the graph of f(x) at which the tangent line is…

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Q: For the function f graphed below, sketch a possible graph of its derivative f'. y 3.0 2.5 2.0 1.5…

A: The derivative of a function means the magnitude of the slope of the tangent to the curve. The graph…

Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = k/x y = 2x +…

A: We have to find the value of k such that the line y=2x+2 is tangent to the graph of the function…

Q: Find the equation of the line tangent to the graph of the given function at the point with the…

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Q: Find the slope of the tangent to the graph of the given function at the indicated point. g(x) = 9x2…

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Q: Sketch the graph of f(x) by hand and use your sketch to find the absolute and local maximum and…

A: Graph of f(x) is as follows :

Q: Use the first, and second, derivative (given below) to find the intervals of increase/decrease and…

A: Follow step 2 and 3 .

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2,…

A: To determine the points on the graph of the function that are closest to the given point.

Q: Q2: At what points do the graphs of the functions below have horizontal tangents? 1.f(x) = x² + 4x -…

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Q: Let f(x)=2x³+3x²-12x+7. a. Find all points on the graph of f(x) at which the tangent line is…

A: Given: f(x)=2x3+3x2-12x+7 To find: a) All the points at which tangent line is horizonal. b) The…

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: Find the slope of the graph of the function at the given point.                        f(x) = 27/x3…

A: Given: fx=27x3Point3,1

Q: Given the graph of the function f(x) below, estimate the slope of the tangent line to the curve at z…

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Q: Given the graph of f(z) below, find the graph of the derivative of f(1). -6-5 -4 -3-2- 1 2 3 4 5 6…

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Q: -3. For the function f(x) = -5x - 3, find the slope of the tangent line at x =

A: We can find the slope in the following steps.

Q: Q2: At what points do the graphs of the functions below have horizontal tangents? 1.f(x) = x² + 4x…

A: Part 1,Given,          The function is fx=x2+4x-1 .

Q: The accompanying graph is a sketch of the function y f(x) over the interval 0<xS7.

A: (fof)(x)=f(f(x))so that  f(f(6)) = f(2) because f(6) = 2

Q: If f (x)= x2 - 4x, at which point on the graph f (x) is the tangent line horizontal

A: topic - slope of tangent line

Q: Determine an equation for the line tangent to the graph of the given function at the indicated point…

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Q: 5) f(x) = ²-4 x-2 4 if x # 2 if x = 2 Is f(x) continuous at x=2? Sketch the graph of the function.

A: (5) Solution:- Function can be written as :- Continuity of x2-4x-2:x&lt;2  or   x&gt;2, &amp;  4  :…

Q: Find k such that the line is tangent to the graph of the function.                        Function…

A: Given, function y=fx=kx and line  y = x + 4

Q: Find the x-coordinate on the graph of f (x) = x3 - 12 x where the tangent is horizontal. (A) 1, - 2…

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Q: Find the values of x for all points on the graph of f(x)=x3-2x2+5x-16x at which the slope of the…

A: The given function is

Q: The graph f(x) has horizontal tangents when x = 3 f'(x) 2+ 2 -1 0

A: Horizontal tangents have slope = 0. ie slope of tangent = f'(x)

Q: Prove that the only function whose graph is symmetric with respect to both the y-axis and the origin…

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Q: The table below gives selected values for the differentiable and decreasing function f and its…

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Q: Use the given graph of function f to solve: Write the equation of the vertical asymptote, or the…

A: A graph, we need to find the equation of vertical asymptote.

Q: Consider the following.       Function                 Line f(x) = x2 − 6              2x+y=0   a.)…

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Q: tangent

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Q: Where does the following function have horizontal tangents? f(x)=1/2x4 +4/3x3-6x2-9

A: The given function is: f(x)=12x4+43x3-6x2-9

Q: Find the slope of the secant line between x = -3 and x = -1 on the graph of the function f(x) = 3x²…

A: Given function, fx=3x2-x+3We have to find the slope of the secant line x=-3 and x=-1 on the graph of…