Q: Find the value k that makes the function continuous. (ka?, x > -2 f (x) kx + 18, x < -2
A:
Q: ) Find a function ƒ such that f'(x)= x³ +3 and such that the line y+5x O is tangent to the graph of…
A: Given, f'(x) = x3+3 and the line y +5x =0 is tangent to the graph of f Let's assume the function…
Q: Find the domain and range of the function.
A: Given : The function f(x, y) = ln(xy - 6) To find the domain and range of the function.
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: 7/8 For what value of x does the graph of f(x) = x8e* have a horizontal tangent?
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Q: Sketch the following functions showing the detailed steps in different graphs: ) f(x) = %3D 1+V-x
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Q: Suppose that f is a function given as f(x)=x3+bx2+cx−4 Find the exact values of b and c if we know…
A: Given: fx=x3+bx2+cx-4 and tangent line y=36x+68
Q: Find the domain of function defined as follows. y = ln(x2 - 16)
A: y=lnx2-16Domain: The domain of a function is the set of all possibleinputs for the function
Q: Sketch the graph of the function. y = −ex−1
A:
Q: Select the correct answer for end behavior of the function: As a → -0, ƒ(x) → As x → 0, f (x) →
A: we have to check
Q: 4. If f(x) = ax³ + bx², determine a and b so that the graph of f will have a point of inflection at…
A: If fx=ax3+bx2, then to determine a and b so that the graph of f will have a point of inflection at…
Q: 10. Identify three characteristics to the graphed function of f (x) = (÷) +1.
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Q: Find the equation of the line that is tanget to f(x)= 1/x at the point (2,1/2).
A: We need to find the equation of the line that is tangent to f(x) = 1/x at the point (2,1/2).
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: snip
A: Consider functions g(x) ,g(x+a), and g(x-a). To get the graph of g(x+a) shift the graph of g(x), a…
Q: Find the function f(x) such that f'(x) = f(x)(1 – f(x)) and f(0) (Use f for f(x) in your equation.…
A: Consider the given information:
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: Finding the g'(4) from the given conditions.
Q: 9. Determine the coordinates of a point(s) that do not change between the original and the…
A: Given that: f(x)=-x2+5
Q: Use a graph to explain why. if f is defined at x = a.
A: The given integral is ∫aafxdx Formula used: it is known that the area bounded by the graph of fx and…
Q: Find the points of inflection and discuss the concavity of the graph of the function.
A: Given: f(x)=tanx4, (0,2π)
Q: Determine the point(s) at which the graph of -8x f(x) 2x - 1 has a horizontal tangent. (x, y) = Need…
A:
Q: Find k such that the line is tangent to the graph of the function.
A: The function is given as fx=kx......(1) The line is given as y=x+4......(2)
Q: 1. Find the intercepts of the function. f(x)-x* +2 а.
A: Given data÷
Q: For the function f(x), defined graphically, state the value(s) of x where the function is not…
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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: at is the graph of the function
A: Given that: f(x)=4-xx+2
Q: 2. Use the graph of the function f(x) to estimate where (a) f'(x)= 0, y f(x) (b) f'(x) 0.
A: (a) f'(x) =0 => the slope is zero, it means when the graph is parallel to x-axis i.e. at…
Q: Use the graph of the function f to find approximations of the given values. y 4-
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Q: The Range Rf for the functionf (x) = tanhx is:
A: Range of f(x)= tanh x
Q: Match f(x) with its graph without using a calculator. -… (x)
A:
Q: What is the domain and the range of y = sec x?
A: y=sec x or y=1cos x∴ sec x is undefined at cos x=0cos nπ+π2=0 ∴ x≠ nπ+π2 Thus, the domain of the…
Q: A) function is defined by f(x) = {²1₂ ² if x20 if x<0 Evaluate f(0), f(1)and f(2) and sketch the…
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Q: 2. For what values of x does the graph of f(x) = x³ + 3x² + x + 3 have a horizontal tangent line.
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Q: What is the equation of the function that is obtained from f (x) = | x | by reflecting about the x…
A: Given information:The given function is
Q: Graph the function f(z) = – 2x´ and draw the tangent lines to the graph at points whose…
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Q: given that the graph of f(x) passes through the point (10,9) and the slope of its tangent line…
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Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x*-20x
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Q: Find k such that the line is tangent to the graph of the function.
A: f(x) = k−x²and the given line is y= −8x+5slope of the line = −8Now f'(x) = −2xtherefore, −2x = −8…
Q: This is what I have so far but it says I am missing something.
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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) = V f(x), evaluate…
A: To find: The value of g'(4) if g(x)=f(x). Concept used: Chain rule: f(g(x)=f'(x)g'(x)
Q: Determine an equation for the line tangent to the graph of the given function at the indicated point…
A:
Q: Consider the function f(x)=(x+1)(x–1)2, At what value of x will the graph of f cross the y-axis?…
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Q: Use the graph of f(x) = [[x]] to graph the indicated function. y = [[2x]]
A: Given function is: y=[[2x]] It is greatest integer function. Given basic function is: fx=[[x]]
Q: 9. Sketch the graph of the function y = Va + 2 and determine the domain and range.
A: We have to draw the graph
Q: 8. Given the function f(x)%=2x3 -5x3 , find the point where the tangent is horizontal to the curve.
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Q: Sketch the graph of the function. Incl y = tan(4x) %3D
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Q: Use the given graph of the function to find the x-values for which f is differentiable. not 1,0
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Q: 14) What is the domain of the function f(x) E, ?
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Q: What is the x-value associated with the extreme point of the following function: 1*1.1^x+ 1*0.2^x?
A: Given Data: Function: fx=1×1.1x+1×0.2x The derivative of the given function is,…
please explain in simple terms showing all work please
Step by step
Solved in 3 steps with 3 images
- Find the slope of the tangent line to the parabola y=4x-x^2 at the point (1,3) 1) using the definition: m=lim->a f(x)-f(a)/x-a 2)using the equation: m=lim->0 f(a+h)-f(a)/ha) By graphing the function f(x)=(cos2x-cosx)/x2 and zooming in toward the point where the graphcrosses the -axis, estimate the value of lim x 0 f(x)Find g'(x) for g(x)=-x^2+3x+2 by using the limit definition of a derivative. lim x-->0 f(x+h)-f(x)/h
- Compute the lim(x,y)->(0,0) (4x2y)/(x2+y2)1/2Let h(x) = (x2 - 2x - 3)/(x2 - 4x + 3). a. Make a table of the values of h at x = 2.9, 2.99, 2.999, and so on. Then estimate limx-->3 h(x). What estimate do you arrive at if you evaluate h at x = 3.1, 3.01, 3.001,......instead? b. Support your conclusions in part (a) by graphing h near c = 3 and using Zoom and Trace to estimate y-values on the graph as x--> 3.Use limits to determine the equations for all horizontal asymptote. y = (1 - x2)/( x2 + 1)
- Consider the image attached of the graph of a function y = g(x) on the domain -8 <= x <= 8, which consists of line segments and semicircles of radius 3 connecting the points (−8, 0), (−6, 6), (0, 6), (6, 6), (8, 0). What is the multipart formula for y = g(x) when -6 <= x <= 0 and when 0 <= x <= 6?Sketch a graph of a continuous curve with the following properties:f(1) =2 f(0) = 4 limX→±∞ f(X)=5f'(1)=f'(3) =0 f'(4) DNE F'(x) < 0 if − ∞ < x < 1 or 3 < x < 4F'(x)> 0 if 1 < x < 3 orx > 4F''(x)< 0 if − ∞< x < 0 or 2 <x< ∞f''(X) > 0 if 0 < x< 2Let ƒ(x) = (x2 - 9)/(x + 3). a. Make a table of the values of ƒ at the points x = -3.1, -3.01, -3.001, and so on as far as your calculator can go. Then estimate limx--> -3 ƒ(x). What estimate do you arrive at if you evaluate ƒ at x = -2.9, -2.99, -2.999,...... instead? b. Support your conclusions in part (a) by graphing ƒ near c = -3 and using Zoom and Trace to estimate y-values on the graph as x -->-3.
- Let ƒ(x) = (x^2 - 9)/(x + 3). a. Make a table of the values of ƒ at the points x = -3.1, -3.01, -3.001, and so on as far as your calculator can go. Then estimate limxS -3 ƒ(x). What estimate do you arrive at if you evaluate ƒ at x = -2.9, -2.99, -2.999,c instead? b. Support your conclusions in part (a) by graphing ƒ near c = -3 and using Zoom and Trace to estimate y-values on the graph as xS -3. c. Find limxS -3 ƒ(x) algebraically.Estimate 1/1−2^1/x from the graph limx→0+Find lim at inf: (x^2 + 2x)/(x - 7) Don't use L'H