10. Let f(x) = x - 20x with domain x< 10. Use f(x) to answer parts (a) and (b). Fill in the blanks. (a) Find a formula for f (X). fx) = (b) Use interval notation to describe the domain of f 1 (x). Use a comma to separate intervals, as need The domain of f(x) is

Q: -1 if f(x) = xtan ,"x,find f' (/3 )by first principle

A:

Q: Find the domain of f(x) = 1/x and discuss the behavior of f near any excluded x-values.

A:

Q: 3) Verify Rolle's Theorem for the function f(x) = [-4, 4]. Justify your answer. 5x + 6 defined over…

A:

Q: 5. For the given functions f(x) = , g(x) = x + 2, find and its domain in interval notation. x-8

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: IS The function f(x)=\x3 Find The value of K, to continue The Function Con tinuous in intervaln X-2…

A: Answer

Q: For what value of k will the function f be continuous on (-∞, 0)? { x2 – 16 if x + -4 f(x) = x + 4 k…

A: We have to find

Q: 4. List the discontinuities for the function f(x) = cot(* :).

A: First write the given function into Numerator and denominator form and , to find the discontinuity…

Q: 2. Given that f(x) = Vx+1 and g(x) =x² -9, find |(x) and give its domain in interval notation.

A:

Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

A:

Q: Which is the correct conclusion about the function h(x) ={V4- x2 if x - 3 if h has a removable…

A: Given function is: hx=-x-2    ;  if x&lt;-24-x2     ;  if -2≤x&lt;2x-3  ;  if x&gt;2 We have to…

Q: Determine the absolute extreme values of f(x) = 5x – 10~/x on the interval [0, 16].

A:

Q: On what domain is the function f(x)=1+√−6−3x continuous?

A:

Q: For what value of the constant k is the function f continuous on (-∞, 0)? 5x2 – kx + 7 if x 7 k =

A:

Q: when x # 1 Show that f(x)% = 2 when x =1 is discontinuous at x 1

A: Given query is to find the continuity of the function at x = 1.

Q: . Show that the function f: R→ R defined as f(x) = 13x − 15 is one-to-one.

A:

Q: For what value of the constant c is the function ƒ continuous on (-∞, ∞)? cx² + 2x if x 2.

A: We know :- Limit definition at x=a  ⇒limx→a-f(x) =limx→a+f(x)  if function continous at x=a then…

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: Let f(x)=-4cosx and g(x)=2cosx+3 for 0&lt;x&lt;2pi solve for f(x)&gt;(g(x) on [0,2pi]. Write the…

A: Sketch the graph of -4cosx&gt;2cosx+3 .

Q: 2) State the intervals of concavity in the function f (x) = x3 + 2x2 – 4x + 5.

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Q: If f(x)=3*-9 and g(x)= tanx, then what is the domain of (g+f)(x) on the interval [0,2m]?

A:

Q: In the fucntion:  f(x)= (12-3x)(e^x)  When is the function concave up and concave down in interval…

A: Given,f(x)= (12-3x)(e^x) By definition,

Q: 4. Find the intervals in which f (x) = x³ - 3 x + 1 is increasing or decreasing.

A:

Q: If a box with a square cross section is to be sent by the postal service, there are restrictions on…

A: volume of the box,V(x)=x2104-4x

Q: (b) Find the intervals in which the function f (x)=x* +6x' +6 is concave up/concave down. Also find…

A: When f''&gt;0 then function cancave up when f''&lt;0 then function cancave down

Q: 14. Explain why there is no value of k that will make the following function continuous. 5x, if x 3…

A: Given that: f(x)=5x,   if x&lt;-1x+k,    if -1≤x≤32x2  ,   if x&gt;3

Q: 4. Find the intervals in which the function f(x) =x³ – 6x2 +9x +30 is concave up/concave down. Also…

A:

Q: (b) Find the intervals in which the function f (x) =x* – 4.x³ +2 is concave up/concave down. Also…

A:

Q: Since the simplified numerator, > 0 for all x, we have f"(x) > o x² - 1 > 0 Ix| > and f"(x) |x| <…

A: Given that: f''(x)=4(3x2+1)(x+1)3(x-1)3

Q: Find the value of the constant c such that the function f(x)= (x-2)/( (root 4x+1)-3) if x#2, c if…

A: And

Q: 4) Find the intervals where the function g is positive and enter exact answers only in interval…

A:

Q: 2. Locate the absolute extrema of f(x)=-5e¯* on the closed interval (-00,00).

A:

Q: For the function f, how would you remove the discontinuity? In other words, how would you define…

A:

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)5 on the interval [0, 4]? Justify.

A: we will see how to proceed

Q: For f(x)=(x^2+x−2)/(x+2) does the Mean Value Theorem apply on the interval [0, 2] and why?

A:

Q: Suppose that the function y=f(x) is increasing on the interval (-1,5). Over what interval is the…

A: The x-5 is offsetting the input of x. The beginning of the function increase is at x-5=-1 and the…

Q: Let f(x) = (2x+1)/(x+1)2. (g) Find the intervals of concavity of f, given that…

A: Apply the conditions for a graph  to be concave up or concave down.

Q: 70 The function f(x) = has a removable discontinuity at a = 0. To remove the 10+22 +2z…

A: -&gt;Given functionf(x)=7010+x2+x3-6xx3+2xNow we want to define f(x) at x = 0 in such a way that the…

Q: Suppose f'(x) < 2 for all x 2 2, and f (2) = 7. Show that f(4) < 11.

A: Given that f'x &lt;2 for all x≥2 and f2=7.We need to show that f4&lt;11.

Q: Let f(x) = e2sinx 1. Find the absolute extremum values off on the interval [7]

A: To find the extreme values of given function at given  interval.

Q: (b) Suppose that f(x) = ൜βx2 − 3    if x ≤ 2βx + 2      if x &gt; 2 Find the value of β so that f(x)…

A: For continuity, left hand limit=right hand limit=f(x)

Q: On what interval is the function f(x) = x^3 - 4x^2 + 5x concave upward?

A: Use given function find the required result

Q: Let f(x)=1x−2 ; for what values of x , f(x) will be discontinuous?

A:

Q: (b) Find the intervals in which the function f(x)=x* +4x'+7 is concave up/concave down. Also find…

A:

Q: (b) Suppose that f(x) =  βx2 − 3            if x ≤ 2 βx + 2             if x > 2 Find the value of β…

A:

Q: On what intervals is the function f(x) = x-4r both decreasing and concave up? Write your answer in…

A: fx=x4-4x3 Differentiating with respect to x, we get f/x=4x3-43x2    ∵dxndx=n·xn-1=4x3-12x2 Again…

Q: Where is the function f(x) below discontinuous? if z 2 Choose all answers that apply. f(x) is…

A: This question is related to limit and continuity, we will solve it using given information.

Q: x' - 8 24. f(x) : x? – 4

A:

Q: If f:[0, 3] → R is continuous, must its range be a closed interval?

A: If f:[0, 3] → R is continuous, must its range be a closed interval