- Find and classify the discontinuities of the function f(x) x2 - 1

Q: Compute the difference quotient  f(x+h)-f(x)/h    , for the function below.…

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Q: compute f(x)-f(a)/x-a for the following function f(x)=x^2-3x+1

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Q: find the value of k that will make the function continuous. f(x)= { 2        ,if x <-4         { -x…

A: To Find: Value of k which will make function continuous

Q: 1. Show algebraically that f (a) -7x +3 is a one-to-one function |

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Suppose that { x²-81 for x + 9 f(x) = x-9 27 for x = 9 Determine the points at which the function f…

A: For simplicity, we can plot the above function to determine continuity. From the above graph, we…

Q: Find all points of intersection between the graphs of the functions f(x) = (x + 5)(x-4) and g(x) = x…

A: Explanation of the answer is as follows

Q: For what value of x is the function f(x)=4/ x2-x-12 not continuous

A: Topic-continuity

Q: For the function x2 +3 for x 2 | Identify the discontinuities of f as removable, jump, or in…

A: Given information: The function is hx=x2+3    for  x&lt;110-x   for  1≤x≤26x-x2  for   x&gt;2.…

Q: Suppose that f(x) is a differentiable function such that f'(4)=5 and f(4)=4. If g(x)=xf(x), then…

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Q: Show that the following function is continuous or discontinuous at. f(x)=x2+x-6/x2-4

A: The given function is

Q: Find the points of discontinuity of the given function. (x + 2 f(x) = { x (x + 5 if 0<x<1 if if 2<x<…

A: Given: fx=x+2if0≤x&lt;1……1xif1≤x&lt;2……2x+5if2≤x&lt;3……3   To find: Point of discontinuity of above…

Q: 1 Suppose that f is a function given as f(x) = 2x -7

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Q: Find all the inflection points of the function. f(x)=(x+3)/(x+1) x=

A: Solution is given below....

Q: Find the domain and sketch the graph of the function.

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Q: 3-64 -If f(x)=04 is the function continuous at x=4 x-4

A: If a function f(x) is given and we have to check continuity at x=a then we have to find LHL, RHL and…

Q: Find the point(s) of discontinuity of the following functions. x2+3 1. x2-16 x²-3x 2. x3+2x2+5x…

A: The rational polynomial y=f(x)g(x)is continuous for all real x except such x where g(x) = 0. (1) The…

Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

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Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: Given function is f(x)=x4-3x3 Find the 1st derivative of f(x) f'(x)=4x3-9x2 Find the 2nd derivative…

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: Differentiate the function fx=x2+1x2-1 with respect to x, to calculate f'(x) and f''(x).…

Q: Consider the functions f(x) = y3x - 4 and g(x) Vx2 - 16. Find the domain of f(x) and g(x) in…

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Q: Classify the type of discontinuity manifested by the function   f(x)=1/(x-1)2

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Q: 1. Is the function f(x)= x³ + x−1 even, odd, or neither?

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Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: Given h(x)=x2-12x-1

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: Given: fx=x2-4x+8 for any given function second derivative is greater than zero in a interval then…

Q: Find the most general function F such that F'(x) – 14. x5 || - F(x) = Σ

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Q: x² +2x+1, if x -2

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Q: Explain why the function is discontinuous at the given number a. f(x) = {* 2* x + 3 _ifx -1 a = -1

A: For continuity left hand limit and right hand limit should be same if not then function will be…

Q: determine all values of x at which the function is discontinuous: 1. f(x)=2x/(x^2-1) 2. f(x)=…

A: Given function is  fx=2xx2-1 The function fx is undefined when x2-1=0 which gives x=±1. So, the…

Q: Find the domain and sketch the graph of the function.

A: fx=x+2    if x≤-1x2        if x&gt;-1 The domain of given function is the set of all real numbers.

Q: Find a value for the constant k, if possible, that will make the function continuous. Skx², (2x + k,…

A: Answer: The solution is as given below:

Q: b. Determine the discontinuities of the following functions and state why the function fails to be…

A: i) F(x)=x3-x2-1ii) F(x)=x2-10x+2

Q: True or false: For the function f(x) =1/(x - 3), f is not defined at 3, so f is discontinuous at…

A: True or false: For the function f(x) =1x-3, f is not defined at 3, so f is discontinuous at 3.

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: we have to determine the intervals where the graph of the function is concave upward or concave…

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: Suppose that f(x) is a differentiable function such that f(3)= 8 and f'(3)=-2. If g(x)=xf(x), then…

A: Product Rule of differentiation : d(u.v)dx = u.dvdx + dudx.v

Q: Give one way to restrict the domain of the function f (x) = X4-2to make the resulting function…

A: Given function is: fx=x4-2fx=x2

Q: 2x if x 2

A: This is a problem of limit and continuity. Function is called as continues if it's left and right…

Q: Explain why the function h is discontinuous at a = -2. 1 x = -2 h(x) = x + 2 1 x = -2

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: 14. Determine if the function f(x)=2x°V4-x* is either even, odd, or neither (even nor odd). Does the…

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Q: Suppose that f(x) is a differentiable function such that f(3)= 8 and f'(3)=2. If g(x)=xf(x), then…

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Q: Find the domain of the function 1 f (x) = - 1

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Q: Are there any values of r for which the function A is discontinuous? Why?

A: We have to find out

Q: Calculate the locations of maximums and minimums of the following functions: f (x) = x – 3x + 2 f…

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Q: Show that if f(x)  = x4 , then  f"(0)  =0, but  (0, 0)is not aninflection point of the graph of f.

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Q: A function has a zero at X = 8, indicating what?

A: Given, A function has a zero at X=8

Q: Determine the value of x of the discontinuous function: * x – 1 x 3

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Q: Q12: Discuss the continuity of function f(x) at x-3 x²-9 if x # 3 6 if x = 3 F(x) = {x-3 %3D

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Q: Suppose that f(x) is a differentiable function such that f'(4)=6 and f(4)=4. If g(x)=xf(x), then…

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Q: A function is defined as: (-1 for - 3<x< 0 %3D +1 for 0 < x < 3

A: Given, f(x)=-1    for  -3≤x&lt;0+1    for    0&lt;x≤3 Given function is a piecewise defined…