34. Draw a graph that is continuous for all x, with no cor- ners, but not differentiable at x = -1 and x = 2.

Q: 30. Consider the function defined by 0ifx 1 Sketch this graph and find all points where the graph is…

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Q: 4. h(x) = x-T at X %3D 2. 5h(X) = x + x4-1 at X = %3D

A: Continuous function at x=a

Q: If f is continuous but not differentiable at x = c then there is a corner on its graph at (c, f(c)).…

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Q: If f is continuous on (-o, co), what can you say about this graph?

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Q: Consider g(x) = x!/5. Is g(x) differentiable at x=0? Is g(x) continuous at x=0?

A: Given function

Q: b) Suppose that f(x) 1 if x is negative. Can ƒ be continuous at x = 0?

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Q: 10 8 4 6. 2. 2.

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Q: Is the graph continuous at 3? * IM W I IN M M MH

A: We know that any given functionfx is continuous at x=a if limx→a-fx=limx→a+fx=fa…

Q: 2) Use the definition of the definite integral to write 2 e* dx as a limit. Do not evaluate this…

A: In this we use the limit  definition of definite integral

Q: 46. Find the values of a and b that make ƒ continuous everywhere. 4 - if x < 2 f(x) = ax? if 2 <x <…

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Q: Suppose f(1) is continuous everywhere, and has the following values: 10 20 30 40 f(z) -4 9. 11 3. 7…

A: Given,  f(x) is continuos everywhere  f(x) has the following valuesx010203040f(x)-491137To…

Q: Find the length of the graph of f(x) = cosh(x) for 0<x< In(12).

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Q: Consider the following. 6 f(x) = 9 - x2 Find the x-values at which fis not continuous. Which of the…

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Q: If f is continuous on [a, b], then the horizontal line y = k for every k between f (a) and f (b)…

A: If function 'f'  is continuous on closed interval [a, b], and if f(a)≠ f(b), then for any number k…

Q: Show that the absolute-value function y = t(x) = |x − 5| is NOT differentiable at x = 5. (Hint: by…

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Q: find the x-values (if any) at which ƒ is not continuous. Which of the discontinuities are removable?

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Q: In which graph is the functiorr continuous between x = O and x = =D5?

A: Consider the graphs of the function. Here, the objective is to identify the function which is…

Q: 3.lim X→π In(cos2x) (π - x)²

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Q: find the following limits based on the graph of y = h(x) which is shown in figure 1. give…

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Q: If Зх — 2,х <3 -{ - h(x) х4 — 74, х 2 3 Is h(x) continuous at (x=3)? 1 Add file

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Q: Consider the following. f(x) = |x < 1 |x|21 Find the x-values at which fis not continuous. Which of…

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Q: Which of the following graph shows that f (z) = |r - 2| is continuous but not differentiable at x =…

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Q: Find number k, so that f is continuous at every point. tan kx f(x) = x 4x+3 k2, x 20 O O and= Cannot…

A: The function is given by fx = tankxx ,x&lt;04x+3k2 ,x≥0 To evaluate : The value of k so that f is…

Q: Give the formula for a function which has vertical asymptotes at x=7 and x = -6 but is otherwise…

A: A function has vertical asymptotes at x=7 and x=-6 but is otherwise continuous.

Q: Sketch the graph of a continuous function y =f(x) that satisfies the following conditions: 1. f'(x)…

A: This question is about graphing a function

Q: Show that the following continuous function has a root between l and 2. f(x) = 4x - 6x² + 3x - 2

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Q: be the continuous function defined on [-6,6] whose graph consists of a quarter circle mree line…

A: the solution is clear from the graph

Q: Define f(2) in a way that extends f(s) = 2 to be continuous at s = 2. %3D -4

A: The function is defined as fs=s3-8s2-4.

Q: Graph h and describe the discontinuity: h(x) = { ex lnx for x &lt; 0 for x &gt; 0 Is h left- or…

A: Given the function h(x)=ex lnx.  We need to sketch the graph for the given function for x&lt;0 and…

Q: Graph h and describe the discontinuity: for x 0 Is h left- or right-continuous?

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Q: 1 (a) What type of discontinuity does the function g(x)=- have at el/x – 1 x=0 ? Explain. (b) For…

A: This question is from limits and continuity.

Q: iii If the discontinuity of ƒ is removable, redefine ƒ so that it's continuous at 0

A: This question related to the topic continuity of real analysis.

Q: 1. f (x) = 3x² + 2x + 1 at x = -2

A: Given that:                            1. f(x)=3x2+2x+1                 at x=-2.2. h(x)=x+1x2-1 at…

Q: A. is definiteand continuous, B. is indefinite and continuou C. is discontinuous and definit D. is…

A: Given: To explain the correct option of the given statement as follows,

Q: ind the limit as x approaches two of (2x + x – 10)/(2 – x)

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Q: 2x, ifx BDU G EDU y = 5, if x= 3 if x = 3 (x-5, if x 3

A: Given:   y=2xif x&lt;35if x=3x-5if x&gt;3 To prove whether y is continuous or not x=3. Solution: A…

Q: x²-1 for x# 1 - If flx) = show that flxx) is continuous at x = 1 x-1 2 for x = 1,

A: topic - limits and continuity

Q: On which of the following interval is f(x) S O (0, +∞0) ○ (2, +∞) O [2, +∞0) 0 (-∞, +∞0) 1 x-2…

A: We will the fact that root value should be positive.

Q: (6) Draw the graph of a (a) function ƒ satisfying Y S(1) = 2, S is continuous at 1. What is lim,→1…

A: f(1)=2f is continuous at 1

Q: Suppose f(x) is continuous everywhere, and has the following values: 10 20 30 40 f(x) 9. 13 2 3 What…

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Q: 2. Show by definition that the function f : R R, f(x) = ||, is continuous on R. Hint: you may need…

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Q: 4) Is the following functions continuous? for x < 1, d(x)= x- 2 for 1 < x.

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Q: 8. Use the c, 8 definition to show that fAx) = x? +1 is continuous at

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Q: EDU 2x, ifx 3

A: A function, f(x) is continuous at x=c if limx→cf(x)=limx→c-f(x)=limx→c+f(x).  The limit of y at x=3…

Q: For what value of a is the function continuous at every x?

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Q: draw the graph of a function f on [0, 4] with the given property. Infinite one-sided limits at x = 2…

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Q: Show that the following statement is false by drawing a graph that provides a counterexample: If f…

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Q: There is an infinite discontinuity at x = 0 and f(0)=-2

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