2. Refer to the function p(x) = x². (a) Suppose r(x) = p(x+3) – 2. Describe how p(x) is transformed to create r(x). Verify your description by graphing using Desmos.

Q: s] B1(a): Find the value of k that makes function continuous at x = 4 x > 4 6x – k x < 4 3x + 6 f(x)…

A: The given function is fx=3x+6if x&gt;46x-kif x≤4. Assume that the above function is continuous at…

Q: Find the linearization L(x) of the function at a. 9 f(x) = a = 3 - L(x) =

A: We have to find the linearization L(x) of the function at a.  We have, f(x)=9x and a = 3

Q: Find the length L of the graph of 3 ( a) f(x)=x/2 +1 for 0<x< 4

A: Since you have asked multiple questions in single request.so we will answering only first question.

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: B)Is w = Ze² analytical function or not?

A:

Q: find the net change in g between x=0 and x=7

A: Here we have to find the net change.

Q: . How many point(s) of inflection are on che graph of f(x)=18x^3+5x^2-12x-17 * f(x) = 18x + 5x² -…

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Q: The function f(x)=(x)/(x-1) is discontinous at x=1 because

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Q: 3) Let f (x) = e=x² Where is y'> 0? What does this tell you about the original function?

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Q: Show analytically (that is, without reference to a graph) that h(x) = v1 + x is always increasing,…

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Q: Describe how you could use the graph of f(x) = 2" to obtain a decimal approximation for V2.

A: y=2x

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

A:

Q: 7. Consider the function *+1 if r< 2 f(x) = 3-1 if z 2 2 (a) Show that ƒ has no fixed point.

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Q: The function g is difirentiable and satisfies g(-1)=4 and g'(-1)=2. what is the approximation of…

A: given g(-1)=4 and g'(-1)=2.         g(-1.2)=?

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is:

A: Given f(x) = ex - 1

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is: |

A: Given,                 f(x)=ex-1

Q: f(z) = z2

A: We have to show the given function is not analytic at any point.

Q: What is the length L of the interval on which the function f(x)=x4e−x is increasing?

A: Given

Q: am having trouble finding the equation of the line tangent to the graph of f at (1,1), where f is…

A:

Q: Where is the function y =4x/x-3 concave downward? Show mathematical work to clearly answer this…

A: For a given function y=f(x) the curve is concave downward in an interval I when the second…

Q: Use the e - S definition to show that the function x- 1 f(x) = x +2 %3D is continuous at x = 3.

A:

Q: If the x-intercepts on the graph of y= f (x) are integral, what are the x-intercepts of the graph of…

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Q: B)Is w = Zez analytical function or not?

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Q: 4. Find the point on the graph of f(x) 5x2 + 20x – 3 where the tan gent line is horizontal. (a)…

A: We have to solve integration

Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 4x/3 on the interval [0,…

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Q: . Sketch the graph of the unit step function, denoted by U and defined by U (x) = {0 1 if if x<0 0sx

A: Ux =0x&lt;01x≥0 So this step function is equal to 0 when time t is negative and is equal to 1 when…

Q: Find for the following function: 1- y = etan'x 2-x'y+ x*y 2 at x = 2

A:

Q: Show that if the graph of a twice-differentiable function ƒ(x) has an inflection point at x = a,…

A: Find the reason why the tangents lines fit well at the inflation points

Q: Let f=3x^2+2 and find the values below 1) f(x+h) 2) (f(x+h)-f(x)) 3) lim h→0 (f(x+h)−f(x))/h 4) Find…

A: The given function is f(x)=3x^2+2.

Q: 5. Create a graph of the function: t -1 %3D x+2 Ay

A: Given:         Equation is y=-1x+2below graph is plotted using online tool

Q: 6. Find the length of the curve given by the graph of the function f(x) = x/x, for x in [1,4].…

A:

Q: Use the Intermediate Value Theorem to show that the graph of f(x) = 4tan(x) – x + 1 intersects the…

A: Please note that according to guidelines only first Q is solved. Please repost the other question.

Q: The function f(x)=(1/(x+1))+4 is decreasing on what interval(s)?

A: Consider the function  fx=1x+1+4

Q: given that the graph of f(x) passes through the point (10,9) and the slope of its tangent line…

A:

Q: Suppose g(-2)=3 and g'(-2)=-4. Let f(x) = x3 + g(x). Find the equation of the line tangent to y =…

A: Given,     f(x)=x3+g(x)

Q: if i have the function how would i use FTC(1) and the chain rule to find g'(x)

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Q: Give an example of a derivable function f (x) with f ′ (- 4) = -3

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Q: Compare the graphs of the functions. Y1 = In(2x) and Y2 = In 2 + In x

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Q: If 7x-5,x < 1 h(x) 3x2 – x, 1 < x < 3 Is h(x) continuous at (x=1)?

A: Given: hx=7x-5,x&lt;13x2-x,1&lt;x≤3 We know that any given functiony=fx will be continuous at x=a…

Q: 14. Show that f(x) x+4 never intersects its horizontal asymptote. %D 3x+1

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Q: 4. Find the point on the graph of f(x) 5x + 20x – 3 where the tan gent line is horizontal. 5

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Q: Find the specific that h (-3) =7 function satisfies hlx)こ 6-5x+x and

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Q: For what value of k will x + k/x have a relative maximum at x = -2?

A: Given: f(x)=x+kx

Q: [1, 2). over Calculate M6 for f(x) = 3 · In(x³) M6

A:

Q: sketch the curve f(x)= ln((x^2-4)/(x^2-3x-4))

A: given curve is                                                     f(x)=lnx2-4x2-3x-4 we have to…

Q: 3. Is the function given by g(x) = x² x = 4? Why or why not? 3x continuous at

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Q: Find the length of the curve defined as: f (x) = 5x from x = 0 to x = 1

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Q: suppose the line tangent to a graph of f at x = 4 is y = 3x+2 and suppose y = 5x -3 is the line…

A: Given information:The line tangent to a graph of f at x = 4 is y = 3x+2 and suppose y = 5x -3 is the…

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

A: