1. f(x) = S-x² + 4; if x < 3 %3D 4x - 8; if x > 3x = 3 2. f(x) = x² -4 ;x = 2 オ-2t

Q: Is every continuous function differentiable? Is every differentiable function continuous? Explain.

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Q: If f(x) = (x − 2) 5(2x+1) 6, then what is f"(0) ?

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Q: The demand function for specialty steel products is given, where p is in dollars and q is the number…

A: Given information :  p = 105 100-q3

Q: 3. Identify all of the discontinuities that exist for each of the following functions: a)…

A: A function is said to be dis continuous if there is a gap in the graph of the function. Some…

Q: Absolute Maximum 64 |(1,6) linear (-1, 4) (-5, 3) |Absolute function (-3 (4, 2) vertex (3, -2)…

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Q: Describe the properties of continuous  function?

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Q: Amazon usic 8 3\ 3 10 125% 3. Suppose f(x) = x² 25 and g(x) )= x²-7x-30. a. Determine (x). b. Find…

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Q: Find the composition and specify its domain using interval notation

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Q: How do we identify if the limit of a function exists or not?

A: Limit, depends on the possibility of closeness, utilized principally to allocate qualities to…

Q: Describe a function a function with a jump discontinuity.

A: we have to describe a function that has a jump discontinuity.

Q: Explain how a function can have an absolute minimum value at anendpoint of an interval.

A: Consider the function f(x)=x3+2x2+9 defined on interval [-3,2]. We compute maxima and minima of the…

Q: Find the domain and range of this function +y? +1+

A: The given function is: z=x2+y2+1

Q: Discuss continuity of a function on an interval. Provide two examples showing continuity on an…

A: Continuity: Function f is continuous on open interval a,b if and only if f is continuous at c for…

Q: H3. Show that the convolution of class functions is a class function.

A: We have to show that,  The convolution of class functions is a class functions. Therefore,  by the…

Q: What do you think why certain limit of a function does not exist? What are the conditions to…

A: we know that limit is exist when we approach to at that certain point on graph, from left and right…

Q: There are 3 conditions that make a function continuous at a point.  Name the three conditions Give…

A: Definition: A function is said to be continuous at x = a provided all three of the following are…

Q: Define Function spaces.

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Q: Briefly explain what the Mean Value Theorem tells us. Why do we require that f be a continuous…

A: Explanation given below...