Given the function f()- ge -bx, which of the following is true so the function is decreasing at any value of x? = ae

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).

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)=-x2+8 and the point on the graph of f-1(x) is (7,1).

Q: Given the graph below of the derivative f'of a function f. -2 For what values of x is f increasing?…

A: Let's find.

Q: The domain of the constant function g (x) = k is ________, and its range is _______ .

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Q: If f(x) =2+|x-3| for all x, then the value of the derivative f'(x) at x= 3 is 0 .a -1 .b 1 .c 2 .d

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Q: Given the function, find the derivative f (x) = -()" 3z 4 3z- 3 12() 3z-4 O None of the Above

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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: The function h(x)=1/x−4, can be expressed in the form f(g(x)), where g(x)=(x−4), and f(x) is defined…

A: Given: ------------------------------------------------------------------------------------------…

Q: Find the local and absolute extreme values of the function on the given interval.  f(x)=…

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Q: When given the equation for a function, how can you determinewhere it is increasing and where it is…

A: The derivative of a function may be used to determine whether the function is increasing or…

Q: The following figure corresponds to the graph of the first derivative of the function f: (4, 0)…

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Q: Given a function g(x), assuming that g'(3) = -8, what does ths tell us? OA. The slope of the line…

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Q: You are given the following graph of the function f(x): f(x) 10 5 X -2 4 -5 -10 Find the point where…

A: At the point of inflexion , double derivative is zero of any function.  It change its sign from…

Q: Which of the following is an equation of the line tangent to the graph of f(x)=3x^2+1 at the point…

A: Please refer the attached image for complete solution.

Q: For which of the following decreasing functions f does (F')'(10) = - ? 8. A f(x) = –5x + 15 В f(x) =…

A: Consider the provided question, Given, f-1'10=-18 We know that,f-1'fx=1f'x    ......(I)Compare (I)…

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

A: The given function is

Q: 1. Find the domain of the function 1- e*? 1- el-x f(x) =

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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: If f is the function whose graph is shown, let h(x) = f(f(x)) and g(x) = f(x²). Use the graph of f…

A: Given: The graph of f(x) is given as:

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: x+k , if x<2 x² +4 , if x22 For what value of k is the function y = < continuous? k =

A: Continuous function. Given function f is continuous if its left hand limit is equal to its right…

Q: Express the given function h(x) =1/(2x - 3) as a composition of two functions f and g so that h(x) =…

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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: The function h(x) ==x-1 represents the composite h(x) = f(g(x)). If f(x) = 2x – 1, what is g(x)?

A: Please refer the attached image for complete solution. Given : hx=43x-1, hx=fgxfx=2x-1To calculate :…

Q: Assume both the graphs of ƒ and g pass through the point(3, 2), ƒ′(3) = 5, and g′(3) = -10. If p(x)…

A: Given that the graphs of ƒ and g pass through the point (3,2). So, f3=2g3=2 Also, f'3=5g'3=-10

Q: Given the graph of f(x) below, find the graph of the derivative of f(x). -7-6-5-4-3-2-1 4 567

A: Given : Graph is given

Q: Given the function f(x) = (x + 1)(x- 2). Find the interval where f(x) is increasing and decreasing.

A: The solution of question no 4 is given in the next step.

Q: For the function f(x): X-6 find T (x), the third derivative of f, and f(4)(X), the fourth derivative…

A: Given that:f(x)=x-2x-6To find f'''(x) and f(4)x

Q: Find all the values of x where the graph of f(x) = 2x – 24x2 + 72 - 1 has a horizontal tangent line.…

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Q: Which of the following is a valid formula for the instantaneous rate of change of the function…

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Q: The line tangent to the graph of g(æ) = x³ – 4x +1 at the point (2, 1) is given by the formula L(x)…

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Q: The line tangent to the graph of g(x)= x^3 - 4x + 1 at the point (2,1) is given by the formula: L(x)…

A: The objective is to find the correct statements. It is provided that line tangent to the graph of…

Q: If f(x) = 2+|x-3| for all x, then the value of the derivative f'(x) at x= 3 is (A) -1 (B) 0 (С) 1…

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Q: If g(x) is the f(x)=x after a vertical compression by 4/5, a shift right by 3, and a shift down by…

A: As we know that the graphical transformation. fx→afx, the graph compresses by ''a'' units along the…

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

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Q: (b) For what values of the constants c and d is the function continuous and differentiable for all…

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Q: If ɛ ER and the function f(x) = ex – 1+ x² is increasing x E R, show also that e >

A: Since f is increasing hence f'(x) &gt;0 for all x

Q: Given the function f(x)=ax =axın( x+b), which of the following is true so the function is decreasing…

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: A function has f''(x) = 10 and has f'(4) = 0 and f(2) = 4. Find f(x).

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Q: .. The graphs above are approximate graphs of f and f' for f(x) = a²(x – 15). So f is decreasing…

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Q: x2 x3 x4 x5 x1

A: A: From graph Only for x1, f(x) &gt;0 (For x2, x3, x3, x5  f(x) &lt;0)    B:    f'(xi) &gt;0 implies…

Q: Express the given function h(x) = 3√(x2 - 9) as a composition of two functions f and g so that h(x)…

A: Given function is  h(x)= x2-93.

Q: On the graph of f(x) = sec x and the interval [0, 2Δ), for what value of x does f(x)= -1?

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Q: Find functions f(x) and g(x) so given functions can be expressed as               h(x)=f( g (x) ).…

A: The given expression;

Q: yA 1 1

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Q: No matter what the base, a(n)function of the form f(x) = 6 always goes through the point (1, 6) and…

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Q: If f is the functions whose graph is shown, let h(x) = f(f(x)) and g(x) = f(x2). Use the graph of f…

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Q: 1. Find when the function is increasing and when it is decreasing. x2 – 9 f(x) = x2 – 16

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Q: given the function f(x) = x' - 3x + 1. Use this function to find 9.All values of x for which the…

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