whether the function graphed is continuous on [-1,3]. If not, where does it fail to be continuous and why? y=f(x) 1 1 3

Q: (a) What are the x-values for which the function appears to be not continuous? O Function g appears…

A: If function g is connected at all points in the given graph , it is continuous for all values of X.…

Q: The function f(x) is continuous on the interval [-1,3]. The table below gives some of its values.…

A:

Q: Determine the value of the constant a for which the function f(x) is continuous at -4. x + 7x + 12 x…

A: Given function is fx=x2+7x+12x+4 if x≠-4a                  if x=-4 We have to find the value of a.…

Q: Determine the value of the constant a for which the function f(x) is continuous at - 2. x² +6x + 8…

A: Given that, f(x) is Continuous at x=-2 f(x)=x2+6x+8x+2   if x≠-2a                 if x=-2   We have…

Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

A: We can find discontinuity of the function .

Q: r a and b, refer to this defined function: a.) Determine if f is continuous at x = 0 .  b.) Is f…

A: given:f(x)= 2 if x<04-x2         if 0 ≤x≤2-2        if x ≥ 2 a) at x=0 L. H. L. = limx→0- f(x)…

Q: Find values of x, if any, at which the given function is not continuous. f(x) = x2 4 O f is not…

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Q: A function g(x) is continuous on the interval [-4,4] and its first and second derivatives have the…

A: A table

Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

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Q: Find the values of x for which the function is continuous. (Enter your answer using interval…

A: The function is given as fx=4-x      if x<3 2x-5    if x≥3 find values of x for which the…

Q: If f(x) is a function and f is continuous at the point a, the f'(a) exists. Why? a. Never b.…

A: We know that if f is continuous function then it may or may not be  a differentiable function…

Q: 3x + 5, 13+¹6, Find a value of x, if any, at which f(x) = If f(x) is continuous for all values of x,…

A: Given: Notice that 3x+5 is continuous for x<4 and 13+16/x is continuous for x>4. Now, we need…

Q: x² -x-2 Is the function f(x) : Fcontinuous at x = 2? Why or why not? x-2

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Q: Determine where the function f(x) is continuous. f(x) = Vx2 - 100 The function is continuous on the…

A: Under the square root, we can not have a negative number.  x2-100≥0x2≥100x≥10 or x≤-10 In those…

Q: a delta - epsilon proof that shows that the function f(x) = |x| is continuous on its do

A: Definition:

Q: continuous at x- 3? Why or why not? Is the function given by f(x) = ! 3*+5, for x 3,

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Q: On what interval(s) is the function f(x) increasing? f(x) (0, ∞) f(x) is always decreasing O (-∞,0)…

A: Sol:- If f 'x>0 then fx is increasing.ddx5x+58Apply the Sum/Difference Rule:  f±g'=f…

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Consider the given function: fx=x-1x-1 This can be written as a split function: fx=-1x<11x>1…

Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

A: It is clear from the graph that  function y=g(x) is continuous in [-1,3) But at x=3, Therefore, g…

Q: b) State what it means for a function to be continuous at a point x = a.

A:

Q: 1) If possible, give an example of where a function is differentiable at a point but not continuous…

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Q: Given the function: if x 1 Find A given that f is continuous at x 1. f(x) = %3D

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Q: x3- 3 if x 2. B-10. Is the function defined by f (x) { continuous at x 2? Differentiable I at x =…

A: Given piecewise function is: fx=x3-3if x≤2x2+1if x>2 To determine whether function is continuous…

Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

A:

Q: Let f be a continuous function on [4,6]. Consider the table of values below: 45 6. f(x) -3 k - 1…

A: Given,            Let f be a continuous function on 4,6. Consider the table of values below :…

Q: whether the function graphed is continuous on [-1,3]. If not, where does it fail to be continuous…

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Q: 6. Does there exist a continuous function on the interval [0, 2] such that f(0) = 0, f(2) = 7, and…

A:

Q: Determine where the function f(x) is continuous. f(x) = Vx- 5 %3D The function is continuous on the…

A:

Q: The graph of a function f is given. y 1 1 Determine whether fis continuous on its domain.

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Q: Determine if the given function is continuous on the given point and intervals. Зх - 3x – 5, xs-1…

A: We know that, a function fx is said to be continuous at x=α if and only if limx→α-fx=fα=limx→α+fx We…

Q: Determine whether the function is continuous at the given points. x+2 if x22 : 2,0 x if x<2 f(x) =…

A:

Q: 3. Determine whether the function is continuous at the given values of a. Show your complete…

A: Given function fx=x+2if x≤12x2if 1&lt;x≤3x3if 3&lt;xiTo chaque the function is continuous  at…

Q: 3. Determine if the given function is continuous on the given point and intervals 1 x<0 f(x) = Osx<5…

A:

Q: Determine whether functions are continuous at given points using limits. Show the x2 - x- 2 x +1 a.…

A: Here we have to determine whether the given function is continuous.  c) Is…

Q: Let the functionf be defined as f(x) = x* -2r² + 3. (a) Find the intervals on which f is increasing…

A: First we find out differentiate with respect to x and then put it equal to 0.and find all critical…

Q: x+1 Determine where the function m(x) = - is continuous. (x - 1)(x– 4) The function is continuous on

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Q: The function f(x) graphed below is continuous, but not differentiable, at 3 2 1 1 3 4 -1 O. *- -I…

A: From given graph it is clear that

Q: (a): Find the value of k that makes function continuous at æ = : 4 ( 2x + 6 x > 4 7x – k a < 4 f(x)…

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Q: :)A function g is defined as follows: x, x2 Determine the values of constants P and 4 such that g is…

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Q: Sketch the possible graph of a continuous function, f, that has domain [-3, 3], where f(-1)=1 and…

A: Here We use First derivative test to determine the nature of f(x)

Q: Determine where the function f(x) is continuous. f(x) = Vx-1 The function is continuous on the…

A: If f(x) is defined then it is continuous

Q: Draw the graph of a continuous function f(x) where f(-1) = 0, f(3) = 0, 2. but there is no value cE…

A:

Q: Redefine function f at x = 2 so that it is continuous everywhere. 2x + 1 f(x) x + 2 x = 2 | %3D

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Q: Vx - 2 h(x) = { -V4 – x intervals: (2, +o), [2, +0), (-2,2), (-2,2], (-∞ – 2), and (2,3) -3+ x

A: First consider the function h1x=x-2 h1 is well defined in the interval [2,∞) and is continuous…

Q: Q#2. Give an example of functions f and g , both continuous at x = 0 for which the composite fog is…

A: There doesn't exist any function. Because

Q: Let f(x) be continuous function on the interval (-3,3) whose first derivative has the following…

A: From the given table, f'(x)=0 at points x=0, x=-2, x=1 so these points are stationary points. Hence…

Q: Q:3 Show that the function is continuous on its domain. State the domain. Vx + x³cosx

A: Graph of the given function x4+x3cosx

Q: Sketch a graph of the function f that is continuous on (- o0,00) and has the following properties.…

A: First, we need to satisfy that f'(x)&gt;0. So, the function must be an increasing function. So, the…

Q: Draw a function F(x), defined for all real numbers x, that satisfies the following properties.…

A: The first derivative is everywhere positive and the second derivative is everywhere negative