The graph of f- is a reflection of the graph of f about the line whose equation is y = x. y 0. x 0. y= -x.

Q: Find f(x)=x-8/6x-1 and find the equation of the line tangent to the graph of f at x=2. and what is…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given function f(x)=2x2 and line is 6x-y+1=0

Q: Suppose the point (0, b) is on the graph of f(x) = -x +1, then the value of b is

A: We have to find value of b.

Q: Graph the function f(x) = coordinates are -2,0, and 1. 2a? and draw the tangent lines to the graph…

A: Sketch the function.

Q: If f is a function defined by the equation y = f(x), then xis called the _______variable, and y is…

A: If f is a function defined by the equation y = f(x), then xis called the _______variable, and y is…

Q: Let f(x) = x'. Find the slope of the line through the points on the curve y = f(x) where x = -2 and…

A: Let fx=x3. We have to find the slope of the line through the points on the curve y=f(x) where x1=-2…

Q: What are the values f(4) and f 0 (4)

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: The graph of f -1 is a reflection of the graph of f about the line whose equation is_________.

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Q: let f(x)=0.5x2-5 find the slope of the secant line through (2,f(2)) and (4,f(4))

A: Let f(x)=0.5x2-5. We need to find the slope of the secant line through (2,f(2)) and (4,f(4)). Here,…

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Sketch the graph of the function. y = −ex−1

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Q: -Which of the functions below has a range of y<-2?

A: Idea: Construct the line y = -2. If the graph remains below the line y = -2 then the function have…

Q: List the x-values in the graph at which the function is not differentiable. 3 -2 - 1 1 3,

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Q: Which of the following is an equation of the line tangent to the graph of f(x)=x^3-x at the point…

A: Calculus Question

Q: Suppose the slope of the curve y = f'(x) at (4, 7) is §. Find f'(7).

A: Given slope of the curve y=f-1(x) at (4,7) is 45

Q: For a curve to be symmetric about the x-axis, the point (x, y) must lie on the curve if and only if…

A: Consider a curve symmetric about the x axis.Then the point (x,y) lie on the curve if and only if the…

Q: The heights on the graph of f'(x) correspond to the slopes of the lines tangent to the graph of f.…

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Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = f(x), evaluate…

A: Given graph is as follows where the red graph shows f(x)  and a line tangent to the curve at x=4.…

Q: The graph of f is a reflection of the graph of f about the line whose equation is

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Q: Find an equation of the line that is tangent to the graph of f for the given value of x. 1)…

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Q: -3. 3) to the curve given by f(x) =

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: What is meant by “the value of a function at x”?

A: Let the function be f(x).

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: I am attaching image so that you understand each and every step.

Q: use the concepts of translation and/or reflection to describe how the second curve can be obtained…

A: To explain: How the second curve fx=-x+8 is obtained form the first curve fx=x by using the concept…

Q: Find the values of ôf / ôx at the point (4,-5) if f(x, y) = x +3xy + y-1

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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: Find an equation of the line that is tangent to the graph of f and parallel to the given line.

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Q: Explain how to find f (a) geometrically from the graph of y = f (x).

A: Explain how to find f (a) geometrically from the graph of y = f (x).

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: If f(x) =x+2, and g(x) =f(x), find the slope of the curve g(x) = f -1 (x) at the point (2, 2).

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Sketch on the graph of the function to the left a right triangle whose hypotenuse is the line…

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Q: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = 5x° –…

A: Given function is f(x)=5x3-5x2+2x+3

Q: Use the graph of y = f(x) to sketch the graph of f'(x). 10+ 9. 8+ 7+ 6+ 5- 4+ 10 -9 -8 -7 -6 -5 -4…

A: The point of inflection for the graph is obtained as .

Q: Find the equation of the line tangent to the graph of the function at the indicated point f(x) = x?…

A: Given curve :

Q: The graph on the left was created by transforming f(x) = x'. Determine the equation of the graph.…

A: We need to determine equation of graph.

Q: f'(x) represents the slope of the secant line at any point on the graph of the function.

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Q: If (x) = x + and g(x) = f(x), find the slope of the curve g(x) = f-(x)at the point(2, 1). 1 %3D

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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: 1) Determine whether the equation defines y as a function of x. x = y3

A: Givenx=y3

Q: find all the values of x at which the curve has a slope of -1. f(x) = 5 +x -3x^2

A: Given function, fx=5+x-3x2 And slope = - 1 i. e. f'x=-1

Q: Suppose that f(x)=6x^2−2x. Find: a. f'(x)= b.  The slope of the graph of f(x) at x=2 and x=3.…

A: Here we find derivatives and slope of function.

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: Find an equation of a line that is tangent to the graph of f and parallel to the given line.…

A: The slope of any curve at any point is given by its derivative at that point. two parallel lines…

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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Q: From the graph of f(x), state the reason why f(x) is discontinuous at x = 4 , x = 0 , x = 2 and x =…

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Q: Find the are of the left half of the curve of the function r = 3-2sin(θ).

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